Math 8 Assessment
1. Which of the following is an irrational number?
A.
B. 0
C.
2. Between which two integers does A. 6 and 7
lie?
B. -6 and -7
C. -7 and -8
3. Which of the following is equivalent to
A.
B.
C. 4
B. 7 and 8
D. -20 and -21
?
4. Between which two consecutive integers does
A. 7 and 9
D.
D.
lie?
C. 8 and 9
D. 33 and 34
5. The steps Antonio took to write 4.1× 10-3 in standard form are given below. What
should Antonio change in order to write the number correctly?
4.1  103  4.100
 4100
A. Keep 4.1 and attach three zeroes at the end.
B. Move the decimal point one place to the right and attach three zeroes
at the end of 41.
C. Multiply 10 times  3 and then multiply the product by 4.1.
D. Move the decimal point three places to the left.
6. The mass of a grain of sand is about 103 gram. About how many grains of
sand are there in a 2-kilogram bag of sand?
A. 1,000
B. 200,000
C. 2,000
D 2,000,000
7. A skyscraper contains 80 floors, with adjacent floors 10 feet apart. An elevator in
the skyscraper is ascending at a rate of 5 feet per second. How long will it take
the elevator to ascend from the 4th floor to the 28th floor?
A. 12 seconds
B. 48 seconds
C. 14 seconds
D. 56 seconds
8. A line passes through the point 1, 3 and has a slope of 2. Which of these points
also lies on this line?
A.
1, 5
B.
3, 5
C.
2, 6
D.
3, 7
9. Given the equation x ∙ 1 = x, which of the following statements is true?
A. one solution
B. infinite solutions
C. no solutions
D. none of the above
10. What value of x makes the equation below true?
5x  9  x  20
A. 7.25
B. 2.75
C. 5.8
D. 2.2
11. Which point is a solution to the system of equations shown below?
x  2 y  15
y  x  12
A.
 39, 27
B.
 3, 9
C.
 27, 21
D.
9,  3
12. The steps Andre took to solve the system of linear equations y  4 x  1 and
y  2 x  7 is shown below. What should Andre change in order to correctly
solve the system?
4x  1  2x  7
6x  6
x  1
A. The constants should combine to equal 8.
B. The x terms should combine to equal 2x.
C. The constants should combine to equal 2.
D. The x terms should combine to equal  6 x.
13. You have 60 math and science problems for homework. You have 30 more
math problems than science problems. Use the model to write a system of
linear equations. How many problems do you have in each subject?
Number of math problems, x + Number of science problems, y = 60
Number of science problems, y = Number of math problems, x - 30
A. (45, 15)
B. (15, 45)
C. (30, 0)
D. (0, 30)
x
14. Data in a science experiment is related by
the function 3x  y  8. Carol collected
the following x-values in the experiment.
y
What is the range of the function represented by the data?
A.  4, 0, 2
B. 20, 8, 2
C.  4, 8, 14
D. 4, 8, 10
4
0
2
15. The town library is having a used book sale.
The graph to the right can be used to find the
total cost y to buy x books. The total cost
includes the admission fee.
What is the equation of the line shown?
A. y  x  4
B. y   x  4
C. y  x  4
D. y   x  4
1
contains the point 6, 6. At what point does this line
2
pass through the y-axis?
16. A line with a slope of 
A.
0, 3
B.
0, 6
C
0,  3
D.
0, 9
17. The steps DeSean took to find the y-intercept of the equation are shown below.
What should DeSean change in order to correctly find the y-intercept?
8 x  5 y  40
8 x  50  40
8 x  40
x  5
y-intercept: 0, 5
A. Let x  0, instead of y.
B. Solve the equation for x.
C. The y-intercept should be written as 5, 0.
D. Set both x and y equal to 0.
18. A train is 225 miles from Chicago. It will travel at a constant speed of 50 miles
per hour. Which graph best represents this situation?
A.
B.
C.
D.
19. Find the coordinates of the image after reflecting in the x-axis.
A.
B.
C.
D.
V’(5, 0), W’(3, 2), X’(6,1)
V’(-5,0), W’(-3, 2), X’(-6,1)
V’(5, 0), W’(3, -2), X’(6,-1)
V’(-5, 0), W’(-3, -2), X’(-6,-1)
20. Rotate the parallelogram 90 degrees clockwise about the origin. Find the
coordinates of the image.
A.
B.
C.
D.
K’(-4, -4), L’(-4, -5), M’(-2, -3), N’(-2, -2)
K’(-4, -4), L’(-5, -4), M’(-3, -2), N’(-2, -2)
K’(-4, 4), L’(-4, 5), M’(-2, 3), N’(-2, 2)
K’(4, -4), L’(4, -5), M’(2, -3), N’(2, -2)
21. Given the dilation
A. 1
GFH
B. 2
G’F’H’, what is the scale factor?
C. 3
D. 4
22. Angle B is the complement of angle A. Angle C is the supplement of angle B.
What is the measure of angle C?
A. 35
B. 145
C. 125
D. 155
23. If given a right triangle with sides a, b, and the hypotenuse c, which of
the following is true?
A. a2 - b2 = c2
B. c2 + b2 = a2
2
2
2
C. a + b = c
D. a2 - c2 = b2
24. Jessie was solving the problem below.
An airplane flies 20 miles due west and 21 miles due south. How far is the
plane from its starting point?
20  21  41 miles
What is the correct solution to the problem?
A. Using the Pythagorean Theorem, the answer should be
841 miles.
B. Using the Pythagorean Theorem, the answer should be 841 miles.
C. The answer should be 82 miles because the plane will make a round trip.
D. The answer should be  41 miles because the plane flew left and down.
25. What is the length of AB in the coordinate grid below?
A.
8
C. 4
34
B.
D. 8
26. Find the volume of the solid. Round your answer to the nearest tenth if
necessary. Use 3.14 for π.
A. 51,744.6 cm3
B. 1,848.2 cm3
C. 12,924.2 cm3
D. 19,404.7 cm3
27. The owner of an arcade measured the outside
temperature each Saturday at noon and recorded
the number of people in the arcade. The scatter
plot shows the data collected. Which description
fits the data in the scatter plot?
A. As temperature increases, more people come to the arcade.
B. As temperature increases, fewer people come to the arcade.
C. The number of people at the arcade is always the same.
D. There is no relationship between temperature and the number of people at
the arcade.
28. Using the scatter plot from number 27, choose the line of best fit.
A.
B.
C.
D.
29. Using the model that you chose for number 28, predict the number of people at
the arcade if the temperature was 10 degrees Fahrenheit.
A. 100
B. 1
C. 10
D. 20
30. You randomly survey students in school about whether they own a dog or a
cat for a pet. The results of the survey are shown in the two way table. Tell how
many students say they own only a
dog.
A. 2
C. 5
B. 7
D. 6