MathConnections8thGrade Benchmark Study Test

Name:______/ Date:______
1. If what is the value of x?
A. 2 B. 4 C. 6 D. 8
2. Use this figure to answer the question.
Which line in the figure above has a y-intercept of 3 and a slope of ?
A. j B. k C. l D. m
3. What is the measure of the missing side of the sail?

4. Which expression equals 4xy2z32?
A. 4x2y4z6
B. 8x2y4z6
C. 16x2y4z6
D. 16x3y4z5
5. What is the equation of the line passing through the points (5, 5) and (5, 10)?
A. x = 5 B. y = 5 C. y = x + 5 D. y = x + 10
6. In the table below, f is a linear function.
When x 8, what is the value of f x?
A. 19 B. 20 C. 22 D. 26
7. The balance below shows the equation . What is the value of x?
A. B. 2 C. D. 3
8. Which of the following is the graph of a line with a slope of 1?
A. B. C. D.
9. Which graph shows the line that goes through the point (3, 1) and has a y-intercept of 4?
A. B.
C. D.
10. Which list of ordered pairs is NOT a function?
A. { (1, 1), (2, 3), (3, 4), (4, 5) }
B. { (1, 1), (2, 2), (3, 3), (4, 4) }
C. { (1, 1), (3, 1), (4, 2), (5, 3) }
D. { (1, 1), (1, 3), (2, 3), (3, 4) }
11. Seth can either ride his bike or walk to school. He can ride at 5 mph for 0.6 miles on Elm Street and then 0.8 miles on Maple Street, or he can walk at 2 mph on the walking trail.

How much longer should it take Seth to walk to school than to ride his bike?
A. 0.2 hours B. 0.22 hours C. 0.28 hours D. 0.4 hours
12. What is the length of a diagonal of a rectangle with length 12 and width 5?
A. 7 B. 13 C. 17 D. 60
13. Which equation describes the line through points A and B?
A. B. C. D. 3x + y = 5
14. Look at the triangles to the right.
Which of these triangles are most likely similar?
A. 1 and 2 B. 1 and 3 C. 2 and 3 D. 3 and 4
15. This coordinate plane shows the locations of two campsites.

The campground owner plans to install a water tap at a location that is equidistant from the two campsites. Which set of coordinates could represent the location of the water tap?
A. B. C. D.
16. Wrangell–St. Elias National Park and Preserve in Alaska covers 13,200,000 acres. What is 13,200,000 written in scientific notation?
A. B. C. D.
17. / A line is shown on the coordinate grid below:

Which of the following best represents an equation of this line?
A. B. C. D.
18. Which answer is equivalent to 456.8 written in scientific notation?
A. 4.568 102 B. 45.68 102 C. 456.8 102 D. 456.0 102
19. What is another way to express 4?
A. B. C. D.
20. The slope of the line through points (1, 1) and (1, 2) is:
A. zero B. negative C. positive D. undefined
21.
The shape of the moon is most like a
A. cone. B. cylinder. C. pyramid. D. sphere.
22. / The plumbers were inspecting leaking pipes that were shaped like…
A. circles. B. cones. C. cylinders. D. spheres.
23. Why is one of the square roots of any positive number less than zero?
A. because a negative number times a negative number is a positive number
B. because a negative number times a negative number is a negative number
C. because a negative number times a positive number is a negative number
D. because a negative number times a positive number is a positive number
24. Alyssa estimated that there are five hundred twenty billion grains of sand on a beach. How is this number written in scientific notation?
A. 5.2 × 109 B. 5.2 × 1010 C. 5.2 × 1011 D. 5.2 × 1012
25. China has a population of approximately 1.3 x 109 people. The United states has a population of approximately 3 x 108 people. How many more people live in China than in the United States?
A. 107 people B. 108 people C. 109 people D. 1010 people
26. Joanne has 2a3 number of animals. Ronnie has 3a3 number of animals. Odessa has a4 number of animals. How many animals do Joanne, Ronnie, and Odessa have altogether?
A. 5a10 B. 6a10 C. 5a3 + a4 D. 6a3 + a4
27. What are the x and y values in this system of equations?
2x + 4y = 8
2y = x + 8 A. (-2, 1) B. (-2, 3) C. (-4, 2) D. (-4, 4)

28. Which equation is true for all values in the table?

a. y = 2x - 1

b. y = 2x + 1

c. y = x - 4

d. y = x + 2

29. The table shows p, the charge in cents, for a long-distance phone call that lasts t minutes.
Which describes this relationship?
A. p = 20t + 12 B. p = 8t + 12 C. p = 11t D. p = 20t
30. Which line on the graph below has a negative slope?

31.
The line shown contains (–1, 2) and (1, –1). What is the slope of the line?
A. B. C. D.
32.
Which equation fits the data in the table?
A. y = x – 2 B. y = 2x – 1 C. y = 3x – 3 D. y = x + 1
33. Which of the following best represents? A number between —
A. 3 and 4
B. 6 and 7
C. 7 and 8
D. 8 and 10

Answer Key

1. B) 4
2. C) l
3. B) 20 feet
4. C) 16x2y4z6
5. A) x= 5
6. D) 26
7. B) 2
8. A)
9. C)
10. D) { (1, 1), (1, 3), (2, 3), (3, 4) }
11. B) 0.22 hours
12. B) 13
13. C) 14. B) 1 and 3 15. D) 16. C) 17. C)
18. A) 4.568 102
19. D)
20. D) undefined
21. D) sphere.
22. D) sphere.
23. A) because a negative number times a negative number is a positive number
24. C) 5.2 × 1011
25. C) 109 people
26. C) 5a3 + a4
27. B) (-2, 3)
28. A)
29. B) p= 8t + 12
30. A) A
31. D)
32. B) y= 2x – 1
33. B) 6 and 7