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1. If Mark purchased x t-shirts at $6 apiece, and y sweaters at $20 apiece, which expression represents the total value of the purchases?
A: 6x - 20y
B: 6x + 20y
C: 20x - 3y
D: 20x + 3y
2. Solve: 4 - (-5 +8) =
A: 15
B: 10
C: 1
D: 3
3. Matt scored 8 more points than Ted in the basketball game, and their scores together made up a quarter of the team's total scoring, which was 112. Which equation represents this scenario?
A: 4(8 + x) = 112
B: 4(2x + 8) = 112
C: 112/4 = 8 + x
D: x = 112/(4 x 8)
4. Simplify: 8x + 19x - 6y - (-y)
A: 27x -5y
B: 27x - 7y
C: 11x -5y
D: 11x + 7y
5. Simplify: -3(x + 2x^{2} + 3x)
A: 12x - 6x^{2}
B: -3x + 2x^{2} - 6x
C: -18x^{2}
D: -12x - 6x^{2}
6. If Janet buys 6 dresses at 15% off the normal price x, which expression represents how much she has saved?
A: 15(6x)
B: .15 (6x)
C: 1.5(6x)
D: .159x(6)
7. Simplify: 7x^{3} + 5y^{2} - 4y^{2} + 2x
A: 9x^{4} +1
B: 9x^{4} + y^{4}
C: 9x^{2} + y^{2}
D: 7x^{3} + y^{2} +2x
8. Solve: (3x + 9)/2 = 9
A: 3
B: 4
C: 2
D: 10
9. What is the value of 20x - 3y^{2} if x = 2 and y = 3?
A: 45
B: 48
C: 15
D: 13
10. Simplify: 4(x + x^{2} + 3x^{2} - 6x)
A: -20x + 16x^{2}
B: 24x +16x^{2}
C: 20x + 16x^{2}
D: -4x^{2}
Answer Key
1. B. Add the respective products of the number of items bought and the cost.
2. C. Solve the equation by focusing first on the parentheses.
3. B. The variable represents the number of points scored by Ted.
4. A. Remember that two negative symbols make a positive.
5. D. Remember that unlike exponents cannot be combined.
6. B. The decimal .15 is the same as 15%, and x represents the normal price.
7. D. Remember that unlike exponents cannot be combined.
8. A. Multiply 9 by 2, then subtract 9, then divide by 3.
9. D. Remember your order of operations: exponents, then multiplication, then subtraction.
10. A. Remember that unlike exponents cannot be combined.
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