Simplify Expressions
Simplify: 7x - 3 + 2x + 8.
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9x + 5
Expand: 4(x + 6).
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4x + 24
Which expression is equivalent to -4(2x - 3)?
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-8x + 12
Solve: x + 9 = 23.
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x = 14
A movie ticket costs $14 plus $9 for each additional ticket. The total is $59. Write an equation and solve for the number of additional tickets.
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14 + 9x = 59; x = 5 additional tickets
Simplify: 4.5a + 2 - 1.5a + 7.
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3a + 9
Expand: -3(2y - 5).
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-6y + 15
Which expression is equivalent to 3(5r - 2) - r?
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14r - 6
Solve: -5x = 35.
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x = -7
Five notebooks cost $6 each, plus a backpack. The total is $68. Write an equation and find the backpack cost.
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5(6) + x = 68; x = $38
Simplify: 3/4m + 1/2m - 5.
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5/4m - 5
Factor completely: 12x + 18.
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6(2x + 3)
A rectangle has side lengths x + 4 and 2x - 1. Write an expression for its perimeter.
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6x + 6
Solve: 2/3x - 4 = 10.
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x = 21
A rectangle has a perimeter of 54 cm. Its length is x + 3 and width is x. Write an equation and solve for x.
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2(x + 3) + 2x = 54; x = 12
Simplify: 8k - 4 - 11k + 9.
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-3k + 5
Simplify: 5(n - 4) + 2n.
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7n - 20
A quantity is increased by 30%. If the original quantity is x, write an expression for the new quantity.
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1.3x
Solve: 3.2x + 12 = 44.
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x = 10
A club has $120. It spends $18 on supplies and then buys 6 identical items. It has $48 left. Write an equation and find the cost of each item.
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120 - 18 - 6x = 48; x = $9
Simplify: 2/3p - 5/6 + 1/3p + 1/2.
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p - 1/3
Simplify: 7q - 1/2(4q - 12).
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5q + 6
Which is equivalent to 2(3a - 4) - (a + 5)?
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5a - 13
Solve: 18 - 2(3x - 4) = 8.
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x = 4
Ages: Maya is 6 years older than Eli. Their ages total 30. Write an equation and find both ages.
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x + (x + 6) = 30; Eli = 12, Maya = 18