Gr 8 Equations/Inequalities

1. Mr. Hill's homeroom has collected 23 fewer than four times a number of boxtops as Mrs. Green's homeroom. Identify the expression that represents the number of boxtops Mr. Hill's homeroom has collected if Mrs. Green's students collected n boxtops.

A) 4 - 23n
B) 23n - 4
C) 4n - 23
D) 23 - 4n

2. Identify the correct translation

A) three times a number decreased by the quotient of that number and 8 is 12
B) the quotient of a number and 8 decreased by 3 is 12
C) three times a number decreased by the product of that number and 8 is 12
D) three times a number increased by the quotient of that number and 8 is 12

3. Solve for x.

A) x = 2
B) x = -2
C) x = -6
D) x = -55

4. Solve for x.

A) x > -14
B) x > 7
C) x > 14
D) x > -7

5. Solve for x.

A) x < 4
B) x < 2/3
C) x < 1
D) x < 2

6. The perimeter of this rectangle is 38 inches. Which of these equations could be used to determine the rectangles length and width?

A) 4x - 9 - x + 3 = 38
B) 4x - 9 + x + 3 = 38
C) 2(4x - 9) + 2(x + 3) = 38
D) 2(4x - 9) - 2(x + 3) = 38

7. Which equation is equivalent to the equation shown?

A) 3(x + 2) - 8 = 10
B) 7(4x -2) - 3x = 186
C) 3(x - 9) = -21
D) -8x - 3x - 6 -5x = 58

8. On his trip to California, Mr. Hill traveled 338 miles in six and a half hours. What was his average rate of speed? Use the formula d = rt, where d is distance, r is rate and t is time.

A) 50 mph
B) 52 mph
C) 58 mph
D) 55 mph

9. Solve for p.

A) p < -7
B) p < -11.3
C) p < 7
D) p < 11.3

10. Solve for r.

A) r = 48
B) r = -48
C) r = -132
D) r = 132

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