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Functional Relationships

Geometry Measurement

ProblemSolving P3 Potpourri

2

What is the solution of

2 5( 6) 3x x

3

x = 9

4

How does the graph of y = x2 differ from

the graph ofy = x2 – 4?

5

The graph ofy = x2 – 4

is shifted down fromthe graph of

y = x2.

6

Write the equation, in slope-intercept form, that describes a

line that passes through the point (4,7) and is parallel to

the line y = 3x + 4.

7

y = 3x - 5

8

What is the solution of this system of linear equations?

4y = -4x + 8y = x + 6

9

(-2, 4)

10

Shawna and her brother Jim help with the chores on their father’s

ranch. Shawna earns $3 per hour and Jim earns $2 per hour. In one

week, the most they can earn together is $70. Write an inequality

to represent this situation, let x represent what Shawna earns and y

represent Jim’s earnings.

11

3 2 70x y

12

In a right triangle, the legs measure 12 cm and 5 cm. What is the length of the

hypotenuse?

13

13 cm

14

Sketch the right-hand side view of the cylinder.

15

16

The blueprint dimensions for a newly constructed house are

proportional to the house’s actual dimensions. On the blueprints

the house’s foundation measures 75 cm long by 40 cm wide. If the

house’s foundation measures 15m long, what is the

foundation’s actual width?

17

Width = 8 m

18

How long is the diagonal of a square

whose sides each measure 7 inches?

19

in 9.9 or 27 about

20

Hiro is decorating a box with adhesive paper. The box

measures 1.5 ft x 2 ft x 0.5 ft. How much adhesive paper

does Hiro need?

21

9.5 ft2

22

Mr. Collins invested some money that will double in value every 12 years. If he

invested $3,000 on the day of his daughter’s birth, how

much will the investment be worth on his daughter’s 60th

birthday?

23

$96,000

24

Adam’s age is 4 less than twice Blanca’s age. If

Adam is 16 years old, write an equation which could be used to find Blanca’s age.

25

1642 b

26

Write the equation which shows the slope-intercept form

of1263 yx

27

22

1 xy

28

Gail bought a compact disc player on sale with a coupon for 25% off. The compact

disc player regularly priced at $80 and tax is 8%. How

much did she pay including tax?

29

$64.80

30

Write an equation to describe the relationship between the

corresponding values of x and y shown in the table.X -2 0 1 4

Y -12 -6 -3 6

31

63 xy

32

A

C B

D

EF

DEFABC similar to is

? oflength the

is what 6, is and 8, is 20, is If

CB

FEDEAB

33

15

34

Outcome Frequency

1 6

2 2

3 2

4 3

5 2

6 0

The table below shows the results of a number cube being rolled.

Based on these results, what is the experimental probability of rolling a 1?

35

5

2

36

A watch loses 3 minutes every 24 hours. How much time

will it lose in 2 hours?

37

15 seconds

38

Last basketball season Ricky made 58% of the free throws he attempted. In the first game this season, Ricky went to the free-throw line 10 times. About how many free throws did Ricky make if his success rate from last season continued?

39

About 6 free throws

40

Of the 32 students in Mrs. Lattie’s class 25% have brown hair. Of the remaining students, 12.5% have red hair.

How many students in Mrs. Lattie’s class have red hair?

41

3 students have red hair.

42

What are the next three numbers in the sequence

1, 5, 13, 29, …?

43

61, 125, 253

44

Simplify the following:

25( 2) (3 12 12)x x x

45

22173 2 xx

46

If the dimensions of a rectangle with a perimeter of 24 inches are tripled,

what will be the perimeter in inches of the new

rectangle?

47

72 inches

48

Michael Jordan’s career statistics show a free throw percentage of 0.836 and a 3-point percentage of 0.328. If Michael took 12 attempts at

free throws, how many would you expect him to make?

49

About 10 free throws.

50

What is the distance between the points at

(-2, 5) and (3, -4)? Round your answer to the

nearest tenth.

51

10.3