Equivalent Expressions

Which expression is equivalent to 7(3a+4b)

• 21a +28b

• 10a+11b

• 21a+4b

• 10a+28b

Which expression is equivalent to 3x + 5 + 7x +2?

• 10x+7

• 17x

• 17

• 15x+2

Which expression is equivalent to 4(x+6)

• 4x+6

• 4x+24

• x +24

• 10x+24

Which expressions is equivalent to 6(2x-3)?

• 12x-3

• 8x-9

• 8x-18

• 12x-18

• 2

• 4

• 8

Which expression is equivalent to 12(5-4x)

• 12x

• 17-16x

• 60-48x

Choose each pair that is correct.

• 3(4k+1) and 12k+1

• f+f+f+f and 4f

• 25t+10 and 5(5t+10)

Kimberly and Robert are buying fruit to bring to their staff meeting. Kimberly buys 3.5 lb of apples and 1.2 lb of bananas. Robert buys 2.4 lb of apples and 1.9 lb of bananas. Apples cost x  dollars per pound, and bananas cost y  dollars per pound. Write an expression with exactly two terms for the total cost of the fruit Kimberly and Robert buy.

Which of these three expressions are equivalent?

• 7(2+3x)-3x and 2(6x+7)+10x

• 2(6x+7)+10 and 4(3+3x)+2(1+3x)

• 7(2+3x)-3x and 4(3+3x)+2(1+3x)

Mrs. Smith buys 3 bags of dirt and 13 bags of rocks for each sixth grade class. The bags of dirt come with d lbs of dirt in each bag. Bags of rocks come in q lbs of rock in each bag. Complete the expression for the total number of gardening supplies Mrs. Smith buys for 10 sixth grade classes.

• 10(3d+13q) = 30c+13q

• 10(3d+13q) = 3d+13q

• 10(3d+13q) = 30d+130q