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8th Math Review

Total questions: 34

Worksheet time: 17mins

Name
Class
Date
1.
1. Which algebraic rule represents the translation shown on the graph below?
a)
a. (x + 12, y + 3)
b)
b. (x – 12, y + 3)
c)
c. (x + 12, y – 3)
d)
d. (12x, 3y)
2.
2. Which algebraic rule represents the translation shown in the table below?
a)
a. (x – 4 , y + 3)
b)
b. (x – 3, y + 4)
c)
c. (x + 3, y + 4)
d)
d. (x + 4, y – 3)
3.
3. Which of the following is the best description of the transformation shown in the graph below?
a)
a. Triangle JKL is reflected over the x-axis.
b)
b. Triangle JKL is reflected over the y-axis.
c)
c. Triangle JKL is translated 8 units to the right.
d)
d. Triangle JKL is translated 8 units to the left.
4.
4. Triangle XYZ will be reflected over the x-axis. Find the coordinates of X’.
a)
a. (3, -8)
b)
b. (3, -3)
c)
c. (-3, 8)
d)
d. (10, -3)
5.
5. Figure ABCD was reflected and the coordinates are shown in the table below. Which of the following rules describes the transformation?
a)
a. (x, -y)
b)
b. (x – 10, y)
c)
c. (y , x)
d)
d. (-x, y)
6.
6. Which of the following describes the rotation shown on the coordinate grid?
a)
a. RST was rotated 90 degrees clockwise.
b)
b. RST was rotated 180 degrees clockwise.
c)
c. RST was rotated 270 degrees clockwise.
d)
d. RST was rotated 270 degrees counterclockwise.
7.
7. Triangle JKL was rotated on the coordinate grid. The coordinates of the pre-image and image are shown in the table. Which of the following statements is NOT true?
a)
a. Triangle JKL could have been rotated 180° clockwise.
b)
b. Point L will be located at (7, 2).
c)
c. The rotation can be represented with the rule (-x, -y).
d)
d. The triangle was rotated from Quadrant III to I.
8.
8. Triangle ABC will be rotated 90 degrees clockwise. Which of the following will be a coordinate on A’B’C’?
a)
a. B’(2, -6)
b)
b. A’(-7, -3)
c)
c. C’(7, -10)
d)
d. All of the above
9.
9. Triangle RST was dilated to form R’S’T’. What was the scale factor for this dilation?
a)
1/2
b)
2
c)
4
d)
8
10.
a)
a. (6, -4)
b)
b. (6, 4)
c)
c. (-6, -4)
d)
d. (9.67, -5.33)
11.
1. Which of the following is NOT a function?
a)
a.
b)
b.
c)
c.
d)
d.
12.
1. What value of x makes the equation 5x – 7 = 12x – 14 true?
a)
a. 1
b)
b. -3
c)
c. -1
d)
d. 1.2
13.
3. Shani is comparing two cable companies for her family. Wired N’More charges an installation fee of $96 and is $78 per month. BlueView has free installation and charges $110 per month. After how many months will the two companies cost the same amount?
a)
a. 5.6 months
b)
b. 3 months
c)
c. No solution
d)
d. 6 months
14.
4. What value of n makes the equation 2(n – 3) – 7 = 6n + 3 true?
a)
a. 4
b)
b. -4
c)
c. -3.25
d)
d. -2.5
15.
5. What is the solution to the equation 5x – 6 – 3x = 2(x – 3)?
a)
a. No solution
b)
b. 0
c)
c. All real numbers
d)
d. -1
16.
6. Find the solution to the equation shown.
a)
a. s = 12
b)
b. s = 112
c)
c. s = 18
d)
d. s = 36
17.
8. What value of x makes the equation x – 4x + 10 = -6x + 2 + 3x true?
a)
a. No solution
b)
b. 0
c)
c. 1.3
d)
d. 8
18.
2. Which of the following represents the slope of the graph?
a)
a.
b)
b.
c)
c.
d)
d.
19.
3. Find the slope of the line that contains (2, -1) and (-3, 24).
a)
a. 1/5
b)
b. -1/5
c)
c. 5
d)
d. -5
20.
4. Which set of coordinates represents a function?
a)
a. {(8, 0), (-5, 3), (4, 2), (-5, 1)}
b)
b. {(7, -1), (-1, 3), (7, 4), (-7, 10)}
c)
c. {(-3, 9), (14, -7), (3, -5), (9, -11)}
d)
d. {(0, 9), (6, -3), (-1, 12), (0, 0)}
21.
5. Find the rate of change of the number of pounds of hay needed on the farm with respect to the number of horses boarding in the barn.
a)
a.
b)
b.
c)
c.
d)
d.
22.

6. What is the y-intercept of the line on the graph below?

(a)  

23.
7. Find the slope of the linear relationship represented in the table below.
a)
a.
b)
b.
c)
c.
d)
d.
24.
8. Which statement about the graph is NOT true?
a)
a. The graph is a linear function.
b)
b. The equation of the line is y = 1.
c)
c. The slope of the graph is undefined.
d)
d. The y-intercept is 1.
25.
9. Which of the following equations represents the linear relationship shown in the table?
a)
a.
b)
b.
c)
c.
d)
d.
26.
10. Susan is baking cookies for the PTO meeting. She will bake 2 cookies for each parent who comes to the meeting, plus one dozen extra cookies. Let x represent the number of parents attending the meeting and y represent the number of cookies Susan needs to bake. Which of the following equations represent this situation?
a)
a. y = 12x + 2
b)
b. y = 2x – 12
c)
c. y = 2x
d)
d. y = 2x + 12
27.
1. Find the length of the hypotenuse in the right triangle given below.
a)
a. 63 cm
b)
b. 23.8 cm
c)
c. 2025 cm
d)
d. 45 cm
28.
2. Find the missing side of the right triangle in the figure below.
a)
a. 144 in
b)
b. 12 in
c)
c. 17.5 in
d)
d. 306 in
29.
3. A computer monitor shown below has a diagonal length of 25 inches. Find the height of the monitor.
a)
a. 15 in
b)
b. 225 in
c)
c. 45 in
d)
d. 32 in
30.
4. Mason loves to climb trees. He builds himself a climbing ramp shown in the figure below that makes a right triangle with the tree and the ground. How high will Mason be able to climb up the tree using the climbing ramp? Round to the nearest tenth.
a)
a. 10.3 ft
b)
b. 56 ft
c)
c. 7.5 ft
d)
d. 14 ft
31.
5. Find the length of the hypotenuse, in centimeters, of the triangle below.
a)
a. 17
b)
b. 25
c)
c. 29
d)
d. 31
32.
6. Mrs. Harris is marking a corner in her classroom with masking tape to be the “Reading Nook”. How many feet of tape will she need to mark off the section of her classroom shown below?
a)
a. 6 ft
b)
b. 24 ft
c)
c. 12.8 ft
d)
d. 30.8 ft
33.
7. Ricardo leaves his house and drives 12 miles south on Park Avenue to the paint shop. Then he drives 16 miles east on Braeburn Lane to the hardware store. If he drives home on Creek Road, how much shorter will his trip home be?
a)
a. 8 mi
b)
b. 20 mi
c)
c. 28 mi
d)
d. 48 mi
34.
8. Roland is designing a sand and water table for his children. The dimensions of the rectangular tabletop are given below. Roland will install a diagonal divider for the sand and water. Approximately, how long will the divider be?
a)
a. 3.5 ft
b)
b. 12 ft
c)
c. 6 ft
d)
d. 4.5 ft