Solving Multi-Step Equations
- 2. Which of the following equations is NOT equivalent to the others?
A) -2(y - 3) = -6y
B) -2y - 6 = -6y
C) y = -3/2
D) 4y = -6
- 3. Ace Truck Rental charges $54 a day plus $0.09 per mile. Roni's Truck Rental charges $38 a day plus $0.13 per mile. For how many miles will the cost of renting a truck for one day at Ace equal the cost at Roni's?
A) 400 mi
B) 170 mi
C) 418 mi
D) 40 mi
- 4. A record store sells CDs for $12 each. A music club offers 5 free CDs and charges $15 for each additional CD. Which equation can you use to find the number of CDs, x, that would cost the same under both plans?
A) 15x - 56 = 12x
B) 12(x - 5) = 15x
C) 12x - 5 = 15x
D) 12x = 15(x - 5)
- 5. Solve 2(y - 3) = 1.2 - y
A) 1.6
B) 1.4
C) -1.6
D) 2.4
- 6. A rectangle has a base of (x + 2) in. and a height of 6 in. A triangle has side lengths of 6 in., (x + 4) in., and 2x in. If the perimeters of the rectangle and the triangle are equal, find the value of x.
A) 10
B) 8
C) 6
D) 12
- 7. Solve 3n - 7 + 2n = 8n + 11
A) 18/5
B) -6
C) 9
D) 4/3
- 8. Which equation does not have -2 as its solution?
A) 7n + 9 = 3 - 9n
B) 3k + 6 - 4k = k + 10
C) 2x + 5 = 5x + 11
D) 4 + 3q = 7q + 12
- 9. A triangle has side lengths of n in., (2n + 3.4) in., and (n + 5.2) in. Find the value of n if the perimeter of the triangle is 22.6 in.
A) 9.4
B) 4.6
C) 7.8
D) 3.5
- 10. Solve 4 + x + 3x = 2(2x + 5)
A) 1
B) -3
C) -2
D) no solution
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