BLACKLINE MASTER 1-1 · Web view11. Find the mode and mean of the set of data: 3, 5, 8, 12, 12, 14....

Name: ________________________________ Date: ________________________

.…BLM 1–12.…

Math 7 Final Exam Review Name:______________

General InformationThe exam has 63 multiple choice and 7 short answer questions. All answers will be placed on a scantron sheet. Simple calculators are allowed for this exam (no fractions buttons allowed). The best way to prepare for an exam list this is practice, practice, practice … Answers are included at the end of every practice test.

Chapter 1 Test

For #1 to #8, match letters on the coordinate grid to the descriptions. Each letter may be used more than once.

1. _____ x-axis 2. _____ quadrant I 3. _____ origin 4. _____ quadrant IV 5. _____ horizontal axis 6. _____ the possible location of a point with

signs (–, +) 7. _____ vertical axis 8. _____ the quadrant point M' would be in if

M(3, –4) is reflected in the y-axis

For #9 and #10, circle the best answer. 9. To plot the ordered pair (0, 5), you would move

A right 5 B up 5 C left 5 D down 5

10. Figure PQR is reflected in line n.What are the coordinates of Q'?A (1, 0) B (4, 1)C (0, 1) D (4, 1)

Short Answer

Copyright © McGraw-Hill Ryerson, 2006

Name: ________________________________ Date: ________________________

.…BLM 1–12.… (continued)

11. Look at the grid. What are the coordinates of each letter?M __________________________N __________________________P __________________________Q __________________________R __________________________

12. a) On the grid, draw and label an x-axis and

a y-axis from 5 to 5.b) Plot and label each of the following

points:A (3, 5), B (0, 4),C (4, 2), D (4, 5),E (5, 0)

13. Use the coordinate grid shown to do the following:a) Rotate figure STV 90° in a clockwise

direction about centre of rotation T.b) Translate figure S'T'V' 4 units left and

1 unit down.c) What are the coordinates of V''? _______

Extended Response14. Choose any one of the following letters: A E H M K

Draw the letter on the grid below. The letter must extend into all four quadrants. Write instructions to create the letter.


Name: _________________________________ Date: ________________________


________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

BLM 1–12 Chapter 1 Test 1. G 2. A 3. D 4. F 5. G 6. C 7. B 8. E 9. B 10. C11. M(4, 0), N(2, 5), P(0, 4),

Q(2, 5), R(5, 2)12. a), b)

13. a), b)

c) (4, 1)14. Answers will vary.

Chapter 2 Test


Name: ________________________________ Date: ________________________


For #1 to #4, choose the letter representing the term that best matches each description.

1. ____ The accepted order for finding the value of math expressions

2. ____ A reasonable guess3. ____ An estimate that is larger than

the answer4. ____ An estimate that is smaller than

the answer

A estimateB order of operationsC underestimateD overestimate

For #5 to #9, select the correct answer.

5. Calculate the answer to 15.25 + 6.53 – 9.2. A 30.92 B 20.86 C 17.31 D 12.58

6. Calculate the answer to 85.6 – 14.83. A 71.73 B 71.23 C 70.87 D 70.77

7. Estimate the answer to 8.75 × 31.88 using front-end estimation. A 240 B 270 C 2400 D 2700

8. Calculate the answer to 8.1 ÷ (0.65 + 3.3). A 2.05 B 12.46 C 15.76 D 31.99

9. Marna cycles 38.4 km daily from Monday through Friday every week. What is the best estimate of the total distance she travels in 1 month?A 500 km B 800 km C 1000 km D 1200 km

For #10 and #11, complete the statement.

10. The sum of 84 hundredths and 3 tenths is ________.

11. When calculating 5 + 3 × (12 – 7) – 11, the operation of _________ is performed first.

Short Answer

12. Without finding the answer, place the decimal point in the correct position. Show your thinking.


Name: _________________________________ Date: ________________________


a) 0.697 + 0.21 + 0.5 = 1407 b) 38.24 – 27.65 = 1059c) 5.8 ÷ 0.293 = 197952 d) 24 × 0.073 = 17520

13. What is the value of each expression?a) 157.95 + 3.7 × 4 + 2 b) 14.6 – 5.25 × 2.3

14. Rewrite each statement using brackets to make a true statement.a) 5.4 – 4 × 0.12 = 0.168 b) 7.1 + 6.8 × 3 ÷ 0.4 = 104.25c) 6.7 ÷ 0.3 + 5.2 × 3.9 = 4.75 d) 9.3 – 5.5 × 2.7 + 0.6 = 12.54

15. Four friends form a landscaping company. In one week, they have 5 clients that pay the following amounts: $270, $315, $295, $425, and $330.

If the friends share the money equally, determine how much each person receives from the work. Show your calculations.

16. Margie’s company manufactures pens. An empty box costs $0.12. Each pen costs $0.15. One full box holds 8 pens. Calculate the cost of manufacturing 100 boxes of pens. Show your work.

Extended Response

17. Terry pays $18 per year to purchase music at reduced prices. Last year, she paid $17.30 each for 3 CDs and $24.65 each for 4 DVDs.a) Terry’s sister, Jana, wrote the following expression to calculate how much

Terry spent on music last year.18 + 17.30 ÷ 3 + 24.65 ÷ 4Evaluate Jana’s expression.

b) Terry estimates that she spent $165 in total. How does Terry’s estimate compare with the calculation according to Jana? If the answers are not close, who do you think is correct? What mistake did the other girl make?

c) Calculate the actual amount Terry spent on music last year.d) Was Terry’s estimate in part b) an underestimate or an overestimate?

BLM 2–11 Chapter 2 Test 1. B 2. A 3. D 4. C 5. D 6. D 7. A 8. A 9. B 10. 1.14 11. (12 – 7)12. a) 1.407 b) 10.59

c) 19.7952 d) 1.752013. a) 174.75 b) 2.525


Name: ________________________________ Date: ________________________


14. a) (5.4 – 4) × 0.12 = 0.168b) (7.1 + 6.8) × 3 ÷ 0.4 = 104.25c) 6.7 ÷ (0.3 + 5.2) × 3.9 = 4.75d) (9.3 – 5.5) × (2.7 + 0.6) = 12.54

15. $408.7516. 100 × $0.12 + 100 × 8 × $0.15 = $132 17. a) 29.93

b) Terry’s estimate is more accurate. Jana divided by the number of items when she should have multiplied.

c) $168.50 d) underestimate

Chapter 3 TestFor #1 to #5, choose the letter representing the term that best matches each illustration. Each letter may be used once or not at all.


Name: _________________________________ Date: ________________________


1. 2. A parallelB perpendicularC areaD heightE angle bisectorF baseG vertexH perpendicular bisector

3. 4. 5.

6. The edges of the paper that meet in the corner of your test paper are best described as being:A acute B obtuse C parallel D perpendicular

7. What is the relationship between line segments AB and RS?

A parallel B perpendicular C intersecting D base

8. Chan took a piece of paper and carefully folded it twice as shown below. When he unfolds the paper, how would the fold lines appear on the paper?

A parallel B perpendicular C bisecting D obtuse

Short Answer9. a) Construct an angle of 36° and label it PQR.

b) Draw an angle bisector and label it QT.

10. Calculate the area of the figure shown below.


Name: ________________________________ Date: ________________________


11. Copy line segment JK.

a) Draw a perpendicular bisector that passes through JK at point M and label it.

b) Draw a line segment PT so that it is parallel to JK and label it.

Extended Answer12. A sandbox is a parallelogram with a height of 4 m and a base of 5 m. You

need to make a lid for the sandbox. a) What area do you need to cover? b) If material for the cover costs $12 per square metre, how much will it

cost to cover the sandbox?

13. Jared’s apartment has a living room in the shape of a rectangle. He wants to install some flooring in a triangular shape as shown. Point A bisects side PS. a) What is the area of the triangular surface?b) If the floor tile costs $12.50 per square metre, what is the total cost

before tax?

BLM 3–13 Chapter 3 Test 1. H 2. F 3. B 4. A 5. E 6. D 7. C 8. A


Name: _________________________________ Date: ________________________


9. a), b)

10. 264 cm2

11. a), b)

12. a) 20 m2 b) 12 × 20 = $24013. a) 0.845 m2 b) $10.56

Chapter 4 Test

For #1 to #6, choose the letter representing the term that best matches each description. Each letter may be used more than once or not at all.

1. ____ A terminating decimal


Name: ________________________________ Date: ________________________


2. ____ 24.89898989 3. ____ about two thirds 4. ____ 5. ____ 6. ____ 1400

B repeating decimalC 80 percentD 65%E 50%

For #7 to #10, circle the best answer.

7. Convert to decimal form.A 0.45 B 0.55 C 0.6 D 1.818181...

8. Write 0.78 as a percent.A 0.78% B 7.8% C 78% D 780%

9. Find 58% of 250.A 431 B 145 C 4.31 D 0.232

10. What percent does the shaded region below represent?

A 48% B 58% C 60% D 62%

Short Answer

11. What percent of the disks shown are white?

12. A radio is on sale at 35% off the regular price of $35.99. How much is the discount?

13. In a grade seven class, 18 students have pets and 12 do not. What percent of the class has a pet?


Name: _________________________________ Date: ________________________


14. Arrange the numbers 0.55, , and 60% in ascending order.

15. a) Calculate 45% of 60, 28% of 120, 65% of 80, and 25% of 200.b) Arrange your answers in descending order.

16. A plumber charges $45 to come and unplug a drain. If GST is 6%, estimate and then calculate the total cost for the plumber.

17. Fifty-eight women and 32 men belong to the wellness club at Metco Manufacturing. Thirty-five women and 25 men plan to go on the ski trip. What percent of the club is going skiing?

18. Sarah is buying some entertainment equipment for her apartment.

Item Regular Price DiscountTelevision $895 15% offDVD video recorder $225 20% offStereo receiver $310 25% offCalculate the cost of Sarah's purchases before tax.

19. Amir owns and operates a clothing store. He sells a shirt for $59.95. He originally bought the shirt for $40.50. What is the buying price as a percent of his selling price?

Extended Response

20. Tara is shopping for a cruise vacation. A–1 Travel has a $1400 cruise at 15% off. Cruise Deluxe has almost the identical package for $1510 at 20% off. Which company is offering the better price? Justify your answer.

21. Your calculator display shows a decimal value of 0.52525252525.Write the exact decimal value of the number. Explain your thinking.

22. Describe a simple way to estimate 30% of $139.95.

BLM 4–10 Chapter 4 Test 1. B 2. B 3. D 4. A 5. B 6. A 7. B 8. C 9. B 10. B11. 37.5% 12. $12.60

13. 60% 14. 0.55, 60%,


Name: ________________________________ Date: ________________________


15. a) 27, 33.6, 52, 50b) 52, 50, 33.6, 27

16. Estimate: about half of 10%, or $2.25; $45 + 2.25 = $47.25Calculate: $45 + $2.70 = $47.70

17. 66.7% 18. $1173.25 19. 67.6%

20. $1400 becomes $1190; $1510 becomes $1208. A–1 Travel's cruise is cheaper, though Cruise Deluxe gives a larger discount.21. The line showing repeat goes over both numbers that repeat. 22. 10% of $140 is $14; 10% × 3 = 30%;

3 × 14 = $42

Chapter 5 Test

For questions #1 to #6, choose the letter representing the term that best matches each statement. Each letter may be used more than once or not at all.

1. ____ A die is tossed 5 times and a six shows up twice giving a probability of .

A outcomesB probabilityC favourable outcomes


Name: _________________________________ Date: ________________________


2. ____ These are the successful results in a probability experiment.

3. ____ Tossing a coin and spinning a spinner at the same time are examples.

4. ____ These are all the possible results in a probability experiment.

5. ____ When tossing a coin, heads is expected to have a probability of .

6. ____ In a lottery, every outcome has an equal chance of occurring.

D independent eventsE sample spaceF randomG theoretical

probabilityH experimental

probability

For #7 to #10, select the best answer. 7. A basket contains 4 yellow, 3 red, and 3 blue slips of paper. Without looking,

Navida reaches in to pull out one slip. What is the probability that it is red?A B C D

8. Which of the following gives the correct way to calculate the probability of an event?A B

C D

9. The probability of an accident occurring is P(accident) = 0.28. What is the probability that an accident does not occur?A 0.14 B 0.56 C 0.28 D 0.72

10. A student rolls a six-sided die three times in a row. The first roll results in a 6 and the second roll also results in a 6. What is the probability that the third roll will result in a 6?A B C D

Short Answer

For #11 to #15, use a separate piece of paper.11. Jorge tosses a coin and then rolls a four-sided die. Draw a tree diagram to

show the sample space.

12. What is the probability of randomly choosing a grey ball from the box? Show your answer as a fraction and a percent.


Name: ________________________________ Date: ________________________


13. If you pick one letter at random from the word possibilities, what is the chance that it will be a vowel? Show your answer as a fraction and a percent.

Extended Response

14. Kirsten has a spinner and 4 balls as shown below. She spins the spinner and selects one ball at random.

a) Use a table to show all of the possible outcomes.b) How many outcomes will result in Q and an even numbered ball?c) What is P(Q, even numbered ball) as a decimal and a percent?

15. Dominic and Tony are playing a board game with a pair of six-sided dice. If Dominic can roll a total of five using the two dice, he will win the game.a) What are all of the possible sums Dominic can roll using the pair of dice?b) Circle the outcomes that could win the game for Dominic.c) What is the probability that Dominic will win the game on this roll? Show

your answer as a fraction and a percent.

BLM 5–13 Chapter 5 Test 1. H 2. C 3. D 4. A 5. G 6. F 7. D 8. A 9. D 10. A11.

12. = 66.7% 13. 46.2%14. a)

1 2 3 4


Name: _________________________________ Date: ________________________


P P,1 P,2 P,3 P,4Q Q,1 Q,2 Q,3 Q,4R R,1 R,2 R,3 R,4

b) 2 c) P(Q, even numbered ball) = =

15. a), b)1 2 3 4 5 6

1 1, 1 1, 2, 1, 3 1, 4 1, 51, 6

2 2, 1 2, 2 2, 3 2, 4 2, 52, 6

3 3, 1 3, 2 3, 3 3, 4 3, 53, 6

4 4, 1 4, 2 4, 3 4, 4 4, 5 4, 6

5 5, 1 5, 2, 5, 3 5, 4 5, 5 5, 6

6 6, 1 6, 2 6, 3 6, 4 6, 5 6, 6

c) = 11.1%

Chapter 6 Test

For #1 to #6, choose a term from the list on the right that best matches each description on the left. Each letter may be used more than once or not at all.

1. _____ The part of the fraction that tells how many parts out of the whole you have

2. _____ When a number can be divided by another number, with no remainder

A numerator

B not possible

C factor


Name: ________________________________ Date: ________________________


3. _____ A number that will divide into another number, with no remainder

4. _____ The part of the fraction that tells into how many parts the whole has been cut

5. _____ 12 ÷ 06. _____

D divisible

E denominator

F written in lowest terms

G multiple


7. Adding all of the digits in a whole number and then checking if the sum is divisible by 9 is the rule forA divisibility by 9 B divisibility by 6C divisibility by 4 D divisibility by 3

8. ABCDE represents a five-digit whole number. You are told that ABCDE is divisible by 5. Which of the following must be true?A E must be 0, 2, 4, 6, or 8. B E must be 0, 2, 4, or 6.C E must be 0. D E must be 0 or 5.

9. 32 81 is a five-digit whole number. You are told that 32 81 is divisible

by 3. Which one of the following could be true?A = 2 B = 3 C = 4 D = 5

Short Answer

10. Add or subtract. Write your answers in lowest terms.a) = ______________ b) = _______________

11. In the illustration, the large rectangle is one whole. How much of the whole is made when the pieces are subtracted as shown? Write your answer in lowest terms. __________________________


Name: _________________________________ Date: ________________________


12. A large number of people were at an international meeting. Out of all the people, were from Canada, were from the United States, from

China, from Korea, and the rest were from different countries in Europe. What fraction of the people were from Europe? Show your work.

Extended Response

13. a) Make a diagram on the grid that shows how to add the following:

In your diagram, show as well as the final answer.

b) Write the final answer in fraction form. ______

14. Write a problem to do with a real-life situation that involves the subtraction of fractions. Include the solution to your problem. _______________________________________________________________________________________________________________________________________________________________________________________

BLM 6–9 Chapter 6 Test 1. A numerator 2. D divisible 3. C factor 4. E denominator 5. B not possible 6. F written in lowest terms 7. A 8. D 9. C10. a) b)

11. 12.


Name: ________________________________ Date: ________________________


13. . Answers may vary. For example:

14. Answers will vary. For example: Sean needs of a bag of apples to make a pie. He has of a bag. What fraction of a bag of apples does he still need? Solution: Sean needs bag of apples.

Chapter 7 Test

For #1 to #5, select the Key Word that completes each statement. Each Key Word may be used more than once.

1. 6, 12, 18, and 24 are each a(n) ____________ of 6.

2. If one hexagon is one whole, then shows a(n) ____________.

3. For the fractions and , the number 24 is a(n) ____________.

A common denominator

B multiple

C mixed number


Name: _________________________________ Date: ________________________


4. is an example of a(n) ____________.

5. is an example of a(n) ____________.

D improper fraction

For #6 to #8, select the correct answer.

6. Which number is a common denominator for and ?A 1 B 10 C 20 D 30

7. What is the sum of the shaded parts in the diagram?

A B C D

8. Which subtraction statement best describes the diagram.

A 1 B C D

Short Answer

9. James is making a salad dressing using cup olive oil and cup vinegar.He pours the oil and vinegar into a jar. In total, how many cups of dressing does James have?

10. Write a mathematical statement for each diagram. Then, solve. Write each answer in lowest terms.

a) b)


Name: ________________________________ Date: ________________________


11. Add or subtract. Write each answer in lowest terms.

a) b) c) d)

e) f) g) h)

12. Leanne is learning a new dance routine. On Saturday, she rehearsed for h. On Sunday, she rehearsed for h. How long did Leanne spend

rehearsing this weekend?

13. After h, a baseball game was almost over when the score became tied.

The extra innings extended the total playing time to h. How long did the extra innings take?

Extended Response14. Gerry and Raj operate cement-mixing trucks. On Monday morning, they

each had a full truck of cement. By lunch time, Gerry had poured of his truck’s cement, and Raj had poured of his truck’s cement.

a) Did they pour more or less than a total of one full truck of cement before stopping for lunch?

b) How much cement did each person have in his truck at lunch time?

BLM 7–11 Chapter 7 Test1. B multiple 2. C mixed number3. A common denominator4. D improper fraction 5. C mixed number6. C 7. D 8. A 9. cup

10. a) b) + =

11. a) b) c) d)

e) f) g) h) 2


Name: _________________________________ Date: ________________________


12. 13.

14. a) more b) Gerry: ; Raymond:

Chapter 8 Test You will need a ruler and protractor for this test. For #1 to #6, choose the letter representing the term that best matches each illustration or description. Each letter may be used more than once or not at all.

1. ____

2. ____ approximately 3.14:

3. ____

4. ____

A central angle

B diameter

C radius

D pi

E semi-circle


Name: ________________________________ Date: ________________________


5. ____ the distance around a circle:

6. ____

F sector

G circumference

For #7 to #10, select the best answer.

7. Marcel stands and swings his straightened arm around in a large circle. As he traces out a circle shape, which of the following would be approximately the centre?A his hand B his elbow C his arm D his shoulder

8. What is the formula for calculating ?A B

C D

9. What is the formula for calculating the area of a circle? A Area = 2 × × r B Area = × r

2

C Area = 2 × × r 2 D Area = ( × r)2

10. On a survey, 420 people were asked for their favourite gum from five different brands. The results are shown in the circle graph.

Which shows the ranking from least to most preferred brand

of gum?

A C, E, B, A, D B C, B, A, E, DC C, E, A, B, D D C, E, B, D, A

Short Answer For #11 to #14, use a separate piece of paper. Answer to the nearest tenth unless otherwise indicated. 11. What is the circumference of the circle? Round

the answer to the nearest tenth.


Name: _________________________________ Date: ________________________


12. Jana is preparing the area for a circular helicopter-landing zone. The circular zone measures 15 m across. Find the area of the landing zone. Show your work.

13. A school posts the following grades and numbers of students. a) Complete the following table. b) Complete the circle graph.

Grade Number of Students

Sector Angle

8 300 83° 9 220 60.9°10 28011 300 83°12 200Totals: 1300

Extended Response14. You get hired to enclose a circular ice rink with fencing. The diameter of the

rink is 20 m. You ask two companies for an estimate. Show all your work.a) “Ice Rinks R Us” estimates $75 per metre. Calculate the total cost.b) “Rink Builders” estimates $84 per metre. Calculate the total cost. c) What is the difference in cost?d) Putting ice in a rink costs $80 per square metre. Calculate the total cost.

BLM 8–18 Chapter 8 Test 1. C 2. D 3. F 4. B 5. G 6. A 7. B 8. D 9. B 10. A 11. 9.4 cm12. A = × r 2

A = × 7.52

A ≈ 176.6 m2

13. a) Answers are in italics. 10, 280, 77.5°12, 200, 55.4°

b) Students should use a protractor to make sectors for Grades 10 (77.5°) and 12 (55.4°).


Name: ________________________________ Date: ________________________


14. a) C = × d 3.14 × 20 m = 62.8 m62.8 m × $75 = $4710

b) 62.8 m × $84= $5275.20c) $565.20d) A = × r

2

3.14 × 100 = 314 m2

314 m2 × $80 = $25 120

Chapter 9 Test

NO CALCULATORS FOR THIS TEST

For #1 to #5, select the best answer.

1. Which addition does the diagram represent?

A (–5) + (+8) B (+5) + (–8) C (–8) + (+5) D (+5) + (+8)

2. Which diagram best represents two negative integers being added together?


Name: _________________________________ Date: ________________________


A B

C D

3. What is the final value?

A +2 B –2 C +14 D –14

4. Which shows the correct changes to find the answer for (7) (12)?A (+7) + (–12) B (–7) + (–12) C (–7) + (+12) D (+7) – (+12)

5. Tracey uses integer chips to represent (–3) – (–5). She starts with three negative chips and then adds more chips to prepare for the subtraction. Which one of the following represents this step?A B

C D

Short AnswerFor #6 to #8, use a separate piece of paper. 6. A bird flies above the water at a height of 35 m. A fish swimming directly

underneath the bird is 9 m below the surface of the water. Calculate the distance between the bird and the fish. Show all your work.

7. At noon, Jake checked the temperature and found that it was –7°C. By the late afternoon, the temperature had dropped 8°C. What is the temperature in the late afternoon? Show all your work.

8. What is each sum or difference?a) (–12) + (+7) d) (–6) + (–9)b) (+5) – (–8) e) (+8) – (+15)c) (–4) – (+9) f) (+12) + (–10)

Extended Response


Name: ________________________________ Date: ________________________


9. Determine the perimeter and area of the figure with vertices at (–11, +7), (–11, –4), (+6, +7), and (+6, –4). Show all of your work.

10. On a piece of paper, make up four different expressions that have (–3) as an answer. Make two addition statements and two subtraction statements.

BLM 9–14 Chapter 9 Test 1. B 2. A 3. B 4. C 5. B 6. (+35) – (–9) = +44 m. The distance

between the bird and the fish is 44 m. 7. (–7) – (+8) = –15°C. It is –15°C in the late afternoon. 8. a) –5 b) +13 c) –13

d) –15 e) –7 f) +2 9. P = 2 × (l + w) = 2 × (17 + 11) = 2 × 28

= 56 squaresA = l × w = 17 × 11 = 187 square units

10. Answers will vary. Look for two addition and two subtraction statements that have a value of –3.


Name: _________________________________ Date: ________________________


Chapter 10 TestMatch each statement on the left with a term on the right.

1. ____ x in the expression 2. ____ 2 in the expression 3. ____ is an example of one 4. ____ 15 in the expression

A table of valuesB expressionC constantD numerical coefficientE variable


5. Which one of the following is equal to ?A 0.7 B 0.797979 C 0.0777… D 0.777…

6. Determine the value of when .A 2 B 12 C 32 D 48


Name: ________________________________ Date: ________________________


7. Using the relationship which of the ordered pairs is not correct?A (3, 1) B (4, 3) C (5, 5) D (6, 6)

8. Which graph represents the linear relation shown in the table of values?

A B C

Short Answer

9. Look at the following pattern:

What is as a decimal number? ____10. a) The Pizza Shack charges $8 for each pizza. No matter how many pizzas

you order, they charge $5 for delivery. Using p for the number of pizzas, what is an expression for the cost to have pizzas delivered to your home? __________________________________________________________

b) What is the cost of five pizzas? Write your answer as a sentence.__________________________________________________________

11. The diagram shows that a cabin with one room has two doors, a cabin with two rooms has five doors, and a cabin with three rooms has eight doors.

a) If the pattern continues, how many doors does a cabin with five rooms have? Write your answer as a sentence.__________________________________________________________

b) What is an expression for the pattern? Tell what your variable represents.


x 2 3 4 5y 1 3 5 7

Name: _________________________________ Date: ________________________


__________________________________________________________

Extended Response

12. a) For the linear relationship y = 2x 1 complete the following table of values.

b) Graph the values in the tableonto the coordinate grid provided.

c) Describe a pattern in real life that the linear relation y = 2x 1 could represent. Make sure you explain what both x and y represent. _______________________________________________________________________________________________________________________________________________________________________________________________________________________

BLM 10–13 Chapter 10 Test 1. E variable 2. D numerical coefficient 3. B expression 4. C constant 5. D 6. C 7. D 8. B 9. 10. a)

b) The cost of five pizzas is $45.11. a) The cabin has 14 doors.

b) 3r 1 where r is the number of rooms

12. a)

b)


x y2345

x y2 33 54 75 9

Name: ________________________________ Date: ________________________


c) Josie and Sam are each buying a bottle of pop. They have a coupon that takes $1 off of the total cost. The cost of each bottle of pop is x. The total amount they have to pay is y.

Chapter 11 TestFor #1 to #6, write EQ beside each item that is an equation or EX beside each item that is an expression.1. 4x 9 = 11 ____ 2. 15 + 6x ____ 3. 8c ____4. 24 = x 17 ____ 5. ____ 6. 15 + 5x 9 ____

For #7 and #8, circle the best answer. 7. Which one of the following does the illustration represent?

A 3x + 5 = 8 B 3x + 2 + 8C 3x = 6 D3x + 2 = 5

8. Which of the following shows the correct set of opposite operations?A + and – × and ÷ B + and ÷ × and –C + and × ÷ and – D + and ÷ × and +

Short Answer


Name: _________________________________ Date: ________________________


For #9 to #16, use a separate sheet of paper. 9. Connie’s age is three more than twice her brother Anthony’s age. If a

represents Anthony’s age, write the equation that represents Connie’s age.

10. Mark is checking to see if n = 3 is a solution to the equation 9 = 5n – 6. His work is shown below:

Mark concludes that since the two sides are not equal, 3 is not a solution to the equation. Is Mark correct? Explain why or why not.

11. Solve each equation. Show all of your work.a) 7m = 42 b) a + 11 = 17

c) d) 19 = x + 6

e) k – 6 = 8 f)

12. Solve each equation and check your answer.a) 4x + 11 = 27b) 12 = 7 + 5xc) 6n + 5 = 47

13. Write an algebraic expression for each word statement.a) five more than a numberb) three times a number, less eightc) eight more than two times a numberd) six times a number, less 3

14. Draw a picture to represent 4x – 3 = 5.

Extended Answer

15. Evan is sewing trim on a pair of shorts. He needs four equal length pieces of trim to put two stripes down each side of the shorts. The teacher gives him a piece of black trim that is 185 cm long. He measures and cuts 4 equal


Name: ________________________________ Date: ________________________


lengths. He ends up with a small piece of leftover trim that is 13 cm long. How long is each piece of trim?a) Write an equation to represent this situation.b) Solve the equation and check your answer.

16. a) What equation does this balance represent?

b) Solve the equation. Explain your steps.c) Draw a diagram to represent the equation 4x + 3 = 15.d) Solve the equation in part c). Explain your steps.

BLM 11–11 Chapter 11 Test1. EQ 2. EX 3. EX 4. EQ5. EQ 6. EX 7. C 8. A9. Connie’s age = 2a + 310. Mark is not correct. Answers may vary.

For example: Mark added instead of multiplied 5 and 3, so he made a computation error. Left Side = 9; Right Side = 5(3) – 6 = 15 – 6 = 9; Left Side = Right Side, so n = 3.

11. a) m = 6 b) a = 6 c) c = 18d) x = 13 e) k = 14 f) w = 60

12. a) x = 4 b) x = 1 c) n = 713. a) x + 5 b) 3x – 8 c) 2x + 8 d) 6x – 314. Answers may vary. Ensure students draw a picture that correctly represents 4x – 3 = 5.15. a) 4x + 13 = 185

b) x = 43; Left Side = 4(43) + 13 = 172 + 13 = 185; Right Side = 185; Left Side = Right Side

16. a) 12 = 2x – 6 b) x = 9c) Ensure diagram accurately represents

the equation. d) x = 3


Name: _________________________________ Date: ________________________


Chapter 12 TestChoose the term from the list on the right that best matches the description given on the left. Each term may be used more than once or not at all.

1. ____ A score that is much higher or lower than the rest of the scores.

2. ____ This is the middle number in a data set.3. ____ This is the most frequent value in a data set.4. ____ This is used to organize large sets of data.5. ____ This is the difference between the lowest and

highest scores.

A frequency tableB meanC measure of

central tendencyD medianE modeF outlierG range

For #6 to #10, circle the best answer.6. Sara is a 100 m sprinter. Her times in the last seven races were (in seconds):

15.0, 14.5, 14.0, 15.0, 15.5, 13.8, 14.6. Find Sara’s median time.A 15.5 B 15 C 14.63 D 14.6

Use the table below to answer #7 to #10. The table shows how many minutes Amelia spent doing homework each night over two weeks.

Sun Mon Tues Wed Thurs Fri Sat30 0 75 70 70 35 2540 15 85 75 75 45 30

7. What was the mean time that Amelia spent each night doing homework?A 47.9 min B 51.5 min C 75 min D 85 min


Name: ________________________________ Date: ________________________


8. Which amount of time could Amelia consider as an outlier?A 0 min B 15 min C 75 min D 85 min

9. Which of the following is the most likely reason for the amount of time Amelia spent doing homework on the two Monday nights?A On all of the other nights, she goes to clubs.B She does not spend much time doing homework on most days.C She has soccer practices on Monday nights that go quite late.D The teacher never assigns much homework.

10. What is the mode for the data set showing Amelia’s homework times?A 42.5 min B 47.9 min C 70 min D 75 min

Short Answer

11. Find the mode and mean of the set of data: 3, 5, 8, 12, 12, 14.

12. The tally chart shows the average daily temperature and the number of days in the month with that temperature. Find the median temperature for the month and the range of the data.

Extended Response

13. A Grade 7 class is surveyed. Each student is

asked, “How many siblings (brothers and sisters) do you have?” The results are shown in the chart.a) Determine the mean, the median, the mode, and the range.

b) Are there any outliers in the data? If so, should the outlier be removed from the data set? Explain your answer.


Average Temperature (°C)

Number of Days

12 llll13 llll l14 llll15 llll ll16 llll llll

Number of Siblings

0 1 2 3 4 5 6 7

Tallyllll l llll

llll lllllll

llll l l

Name: _________________________________ Date: ________________________


14. Students’ scores for a French test were 40, 42, 55, 56, 59, 68, 74, 76, 77, 78, 79, 81, 83, 87, 87, 87, 88, 93, 95, and 95. All scores are percents.a) Determine the mean, the mode, and the median.

b) Marco receives 76%. His mom asks him how he did on the test compared to the rest of the class. Which of the mean, mode, or median should he tell his mom if he wants to make his results look good? Explain why.

BLM 1213 Chapter 12 Test1. F 2. D 3. E 4. A 5. G6. D 7. A 8. A 9. C 10. D11. mode: 12; mean: 912. median: 15; range: 413. a) mean: 1.6; median: 1;

mode: 1; range: 7 b) outlier: 7. It should not be removed from the data, because it is a true statement.14. a) mean: 75; mode: 87; median: 78.5 b) He would tell his mother the mean, since it is the lowest of the three values and his mark

is above the mean.


BLACKLINE MASTER 1-1 · Web view11. Find the mode and mean of the set of data: 3, 5, 8, 12, 12, 14....

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