1. Given  which statement istrue?

A.B.C.D. 

2. Points L, N, P are collinear on line f in the coordinate plane. Triangle LNQ and Triangle NPR are similar.

Which ratio equivalent to demonstrates that the slope of line f is the same between any two distinctpoints?

A.B.C.D. 

3. Which value is equivalent to

A. 4.5B.C. 9D. 81 

SEMESTER 1 STUDY GUIDE

4. In the diagram below, line f is parallel to line g, and line l intersects them asshown.

If is increased by moving line l, which statement is true?

A.B.C.D. 

5. In the figure below, Line t intersects parallel Lines m and n.

Which two angles named below are supplementary angles in the figure?

A.B.C.D. 

6. At an airport, runways 12L and 12R are parallel and are intersected by a thirdrunway.

Mike calculated the value of x to be 115°. Which statement justifies Mike’s calculations?

A. Adjacent angles formed by perpendicular lines are complementary.B. Alternate exterior angles are congruent.C. Consecutive interior angles are supplementary.D. Vertical angles are congruent. 

7. In the figure, Line t intersects parallel Lines m and n.

Which two angles named below are vertical angles in the figure?

A.B.C.D. 

8. Kelsey purchased 5 beads at a total cost of 80 cents. The round beads cost 15 cents each, and the ovalbeads cost 20 cents each. The equations and graph below can be used to determine the number of each typeof bead Kelsey purchased, where x represents the number of round beads and y represents the number ofoval beads. 

Number of beads: 

Total cost of beads:

What are the numbers of round and oval beads Kelsey purchased?

A. 1 round bead, 4 oval beadsB. 2 round beads, 3 oval beadsC. 4 round beads, 1 oval beadD. 5 round beads, 1 oval bead 

9. The figure below shows a pair of parallel lines intersected by LineFC.

Which angles in the figure are congruent?

A.B.C.D. 

10. Mr. Morales sells memberships to a fitness club. He earned $250 for selling 5 memberships. Mr. Moralesearned $425 for selling 10 memberships. Which of the following equations represents this situation, where mrepresents the number of memberships Mr. Morales sold and e represents the amount he earned?

A.B.C.D. 

11. The graph below represents the equation

Which statement accurately predicts the effects on the graph if the slope of the line is changed to 3?

A. The graph is closer to being a vertical line but still slants to the right.B. The graph is closer to being a horizontal line but still slants to the right.C. The graph is closer to being a vertical line and changes to slant to the left.D. The graph is closer to being a horizontal line and changes to slant to the left. 

12. Which correctly describes the behavior of the graph of in the xy-plane?

A. The graph is a vertical line.B. The graph is a horizontal line.C. The graph is rising as x increases.D. The graph is falling as x increases. 

13. The graph shows the distance Amy traveled over time.

According to this graph, which statement describes Amy’s trip between 2 hours and 3 hours?

A. Amy was traveling at a rate of 30 miles per hour.B. Amy was traveling at a rate of 40 miles per hour.C. Amy was traveling at a rate of 50 miles per hour.D. Amy was traveling at a rate of 60 miles per hour. 

14. Which table contains coordinates that all satisfy the equation

A. x  y  0  3–2–1  1  1  4–5

B. x y–1 5  1  1  3–3  5–7

C. x y–3  9–2  7  2–1 4   5

D. x y–4–5–1  1  0  3  3–3

 

15. What is the equation of the line that contains Point (1, −2) and has a slopeof 2?

A.B.C.D. 

16. What is the slope of the line below?

A. –2B.C.D. 2 

17. Which equation does NOT represent a linearfunction?

A.B.C.D. 

18. If the coordinates from each table are graphed, which will form a linearpattern?

A.     x      y   –1  2 0  4 1  8 2  16 

B.   x    y  2  2 3  1 4  2 5  3 

C.     x      y   3  7 5  8 6  10 8  13 

D. x y2 5 4 6 6 7 8 8 

 

19. Janice owned 17 books and bought 5 new books each month. Eunice owned 27 books and bought 3 newbooks each month. The graph below shows the number of books each student owned over a 12-month period.

Based on this graph, which statement is true?

A. Each student owned 42 books on the fifth month.B. The students had 42 books altogether on the fifth month.

20. The table below gives some x-values and their corresponding y-values.

Which graph shows the relationship between x and y?

A.

B.

C.D.

 

21. Moira placed $2 in an empty piggy bank, and then added $3 every month. The same day, Nathan placed$5 in an empty piggy bank, and then added $3 every month. The graph below represents their savings.

Based on this graph, which statement is true?

A. The amounts in the piggy banks will never be the same.B. At the end of 5 months the amounts in the piggy banks will be equal.C. After the amount in each piggy bank reaches $30, the amounts will continue to be equal.D. The amounts in the piggy banks will always be equal because each piggy bank receives $3 each

month. 

22. Which equation represents a line having slope and y-intercept

A.B.C.D. 

23. Which of the following relations is afunction?

A.B.C.D. 

24. The table shows a linear relationship between xand y.

x y

– 3 – 4.5

– 1 – 3.5

   6 n

   8 1 

 11    2.5 What is the value of n?

A.B.C.D. 

25. What value of x makes the equation true?

A. 2B. 5C. 8D. 9 

26. An equation is given below.

Based on the equation, which of the following is a valid statement?

A. The only value that satisfies the equation is x = 0.B. The only value that satisfies the equation is x = 3.C. There are no values of x that satisfy the equation.D. Any real number value of x satisfies the equation. 

27. Which equation is equivalent to

A.B.C.D. 

28. Select all equations that do NOT have asolution.

8x + 4x = 06x + 2 = 4x + 2 + 2x4x – 8x – 3 = 6 – 4x5x + 1 = 1 – 5x12x – 3 – 5x = 9 + 7x – 6

 

29. Select all the equations that have only onesolution.

6m – 6 = 02 – 2x = 2x – 2

9.2n + 3.2 = 16.36 – (4 – x) = 3x – 4x

 

30. Select all the equations that have only one value for thevariable n.

n + 3 = –33n = –33n + 3 = 3 + 3n3n – 3 = 3n3n + n – 3 = 3

 

31. A student concluded that has infinitely many solutions. Which statement BESTdescribes the student’s conclusion?

A. The conclusion is incorrect because the equation has no solution.B. The conclusion is incorrect because there is exactly one solution to the equation.C. The conclusion is correct because there are exactly two solutions to the equation.D. The conclusion is correct because when simplified, both sides of the equation are equivalent. 

32. Alvin’s delivery truck traveled 80 miles in 1.5 hours to make a delivery as shown in the chart below.

 Distance (miles) Time (hours) 

80    1.5

160 3

240    4.5

 If his speed remains constant, which graph shows the relationship between his time and distance traveled?

A.

B.

C.

D. 

33. The amount of chicken required for a chicken enchilada recipe is shown in the followingtable.

Which graph matches the table?

A.

B.

C.D.

 

34. The diameter of Jupiter is approximately miles. The diameter of Earth is approximately miles. Approximately how many times the diameter of Earth is the diameter of Jupiter?

A. 110B. 11C. 0.9D. 0.09 

35. What is the equation of a line with a y-intercept of −5 and aslope of 8?

A.B.C.D. 

36. Mr. Smith withdrew $6,000 from his savings account to purchase a car. He plans on depositing $250 permonth into his account in order to make up for the amount he took out. Which graph BEST representsthe length of time it will take to replace the money in his account?

A.

B.

C.

D. 

37. Mark works at his dad’s hardware store after school for $6 per hour. He made a graph of hisearnings.

Mark graphed only one of his points correctly. Which point is graphed correctly?

A. Point AB. Point BC. Point CD. Point D 

38. Andrea rented a canoe for 5 hours. The rental company charged her a $20 fee plus $5 per hour. Whichgraph BEST represents the rental company charges?

A.

B.

C.

39. An Olympic-size swimming pool holds approximately gallons of water. The capacity of thisswimming pool is between which interval?

A. 100 gallons to 1000 gallonsB. 1000 gallons to 10,000 gallonsC. 10,000 gallons to 100,000 gallonsD. 100,000 gallons to 1,000,000 gallons 

40. Which expression is equivalent to

A.B.C.D. 

41. Which number is equivalent to

A. 22,300B. 223,000C. 2,230,000D. 22,300,000 

42. The graph below shows the distance a train traveled overtime.

According to the graph, at what speed did the train travel?

A. 18 miles per hourB. 30 miles per hourC. 50 miles per hourD. 72 miles per hour 

43. Which expression shows 63 million written in scientificnotation?

A.B.C.D. 

44. The figure below models a square with an area of 121 square meters.

Which expression BEST represents the length, in meters, of each side of the square?

A.B.C.D. 

45. Which expression is equivalent to ?

A.B.C.D. 

46. Simplify

A.B.C.D. 

47. Which number is equivalent to

A.

B.C.D. 

48. Solve

A.B.C.D. 

49. Given which statement is true?

A.B.C. 25 is the area of a square whose side has length 5.D. 25 is the perimeter of a square whose side has length 5. 

50.  

A.

B.

C.

D.