Generate Equivalent Expressions Chapter Review

Write an equivalent expression to:

 $\frac{1}{6}p\ +\left(-12\ +\ \frac{5}{6}p\right)$  by combining like terms.

•  $2p\ -\ 12$  

•  $p\ -\ 12$  

•  $12-p$  

•  $\frac{6}{6}p\ +\ 12$  

Which expression is equivalent to:
 $-3.1a\ +\ 10\ -6.4a\ +12.2$  

•  $-9.5a\ +22.2$  

•  $12.7a$  

•  $9.5a\ -\ 22.2$  

•  $-9.5a\ +2.2$  

Factor the expression:
 $42b\ +\ 14c\ +\ 7$  

•  $7bc\left(9\right)$  

•  $-7\left(-6b\ +2c\ +\ 1\right)$  

•  $7\left(6b\ +2c\ +\ 1\right)$  

•  $7\left(6b\ +2c\ +7\right)$  

Jane bought a Pandora bracelet and some beads. The cost of the bracelet was $50 and each bead costs $35. Write an expression to represent the total cost of the bracelet and the beads.

• $35\ +\ 50b$

• $85b$

• $50\ +\ 35b$

• $\text{85}$

Colten makes $20 to mow a lawn. It costs him $6.50 to fill up his lawn mower with 2 gallons of gas. If he mows 7 lawns and fills his tank up three times, how much did he profit?

• $13.50

• $120.50

• $127.00

• $133.50

Answer explanation

You would multiply 20 by 7 to find the amount that he collected from his customers. You would then multiply $6.50 by 3 to figure out how much it will cost him. You then subtract his cost from the amount that he collected.

Owen joined a health club. The initial cost to join was $100 and then there was a $40 per month charge after that. Find the total cost that Owen paid after 7 months of membership.

• $280

• $380

• $100

• $580

David bought a container of protein powder. There are 560 grams in the container. Each morning he puts 20g in his breakfast shake. Write an expression to represent the amount of protein powder remaining after d days.

• 20d + 560

• 560 - 20

• 560 - 20d

• 580

Rewrite the expression using the Associative Property (regrouping):
 $\frac{3}{8}p\ +\left(-19\ +\ \frac{1}{8}p\right)$  

•  $\frac{3}{8}p\ +\ \frac{1}{8}p\ -19$  

•  $\left(-19\ +\frac{1}{8}p\right)\ +\ \frac{3}{8}p$  

•  $\left(\frac{3}{8}p\ +\frac{1}{8}\ p\ \right)\ -\ 19$  

•  $\frac{1}{2}p\ -19$  

Write an equivalent expression to: $-10\ +\frac{7}{8}y\ -15\ -\frac{2}{8}y$  

•  $5\ +\frac{5}{8}y$  

•  $-25\ -1\ \frac{1}{8}y$  

•  $\frac{5}{8}y\ +\ 25$  

•  $\frac{5}{8}y\ -\ 25$  

Write an equivalent expression to:

 $-3\left(7-4p\right)$  

•  $21\ -12p$  

•  $-21\ -\ 4p$  

•  $-21\ +12p$  

•  $21\ +\ 12p$