Equivalent Expressions

Mr. Herndon buys 9 boxes of crayons and 17 boxes markers for each sixth grade class. The boxes of crayons come with c crayons in each box. Markers come in boxes with m markers in each box. Complete the expression for the total number of school supplies Mr. Herndon buys for 6 sixth grade classes.

• 9(17c+6m) = 153c+54m

• 6(9c+17m) = 54c+102m

• 6(9c+17m) = 9c+17m

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

Mr. Thompson buys 21 packages of notebook paper and 12 packages of construction paper for each sixth grade class. The packages of notebook paper come with n pieces of paper. The packages of construction paper come with y pieces of paper. Complete the expression for the total number of paper Mr. Thompson buys for 3 sixth grade classes.

• 3(12n+21y) = 36n+63y

• 3(21n+12y) = 63n+36y

• 12(3n+21y) = 72n+252y

Mrs. Campbell buys 16 packs of water and 7 packs of gatorade for each sixth grade class. The packs of water come with w water bottles in each pack. The packs of gatorade come with j gatorade bottles in each pack. Complete the expression for the total number of drinks Mrs. Campbell buys for 2 sixth grade classes.

• 2(16w+7j) = 32w+14j

• 2(7w+16j) = 14w+32j

• 2(16w+7g) = 32w+14g

Choose each pair that is correct.

• 3(4k+1) and 12k+1

• f+f+f+f and 4f

• 25t+10 and 5(5t+10)

Choose each pair that is correct.

• 6(6d+3) and 36d+18

• h+h+h+h+h+h and 7h

• 14q+18 and 2(7q+8)

Choose each pair that is correct.

• 7(5e+4) and 30e+21

• y+y+y+y+y and 4y

• 12w+5 and 2(6w+10)

Choose each pair that is correct.

• 5(8q+10) and 40q+50

• e+e+e+e+e+e+e+e and 8e

• 49r+21 and 7(7r+3)

Christian and Peter 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. 

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.