Combine Like Terms

1)    Bradley sells produce in boxes at a farmer’s market. He put 7 ears of corn and 10 tomatoes in each box. The expression 7b + 10b represents the total pieces of produce in b boxes. Simplify the expression by combining like terms.

2)   Liang is ordering new chairs and cushions for his dining room table. A new chair costs $104 and a new cushion costs $16. Shipping costs $40. The expression

104c + 16c + 40 gives the total cost for buying c sets of chairs and cushions. Simplify the expression by combining like terms.

Use properties of operations to write an equivalent expression by combining like terms. 10x + 45 + 4x     

Use properties of operations to write an equivalent expression by combining like terms. 10x - 4x + 14     

Use properties of operations to write an equivalent expression by combining like terms. 25b + 14a + 23b + 16a 

Use the distributive property to write an equivalent expression. 3(4 + 8k)

Use the distributive property to write an equivalent expression. 8(2c + 6)

Use the distributive property to write an equivalent expression. 14b + 21c

Use properties of operations to determine whether the expressions are equivalent.

20v - 8v + 13 and 28v + 13

• Equivalent

• Not Equivalent

Use properties of operations to determine whether the expressions are equivalent.

6 (4c + 3d) and 24c + 18d

• Equivalent

• Not Equivalent