7th Grade Review - Equations

Jennifer has $65 to spend on pants and shirts. She buys a pair of pants for $25 and buys shirts that cost $11 each. What is the greatest number of shirts Jennifer can buy?

• 2

• 6

• 4

• 3

Robert joins a gym and pays $25 application fee. He pays $10 a month for 1 year. How much money in total does Robert spend on gym fees for the entire year?

• $35

• $145

• $310

• $420

Which number line shows the solution set in the inequality shown?
 $4-6x\le16$  

• graph 1

• graph 2

• graph 3 

• graph 4

Luke spent a total of $112 on 6 bags of potting soil and x bags of grass seed. He paid $8 for each bag of potting soil and grass seed. Which equations could be used to determine the number of bags of grass seed Luke bought?

• $6\left(8+x\right)=112$

• $8\left(6+x\right)=112$

• $8x+6=112$

• $14x=112$

Sophie's car seat provides safety for children 32 inches(in.) tall and under. Sophie is 25 in tall. Which inequality represents how many more inches (x) Sophie can grow and still use the car seat?

• $25+x<32$

• $25+x\le32$

• $25+x>32$

• $25+x\ge32$

Solve for x.
 $-\frac{1}{6\ }x+\frac{4}{3}<2$  

•  $x>-4$  

•  $x<-4$  

•  $x>4$  

•  $x<4$  

Carter bought a pack of gum that costs $1.29 and 5 candy bars that cost $1.59 each. How much money did Carter spend?

• $2.68

• $8.04

• $9.24

• $14.40

Barbara is 46 inches (in.) tall. She is 2 in. less than  $\frac{2}{3}$  of Alejandro's height (a). Which equation should be used to calculate Alejandro's height?

•  $2x\ +\ \frac{2}{3\ }=46$  

•  $\frac{2}{3}x-2=46$  

•  $\frac{2}{3}\left(a-2\right)=46$  

•  $2\left(a-\frac{2}{3}\right)\ =\ 46$  

Dave's salary is $2,500 per month. His rent costs  $\frac{2}{5}$  of his monthly salary. After paying rent, how much money does Dave have left?

• $500

• $1,000

• $1,500

• $2,000

An oven take at least 20 minutes (min) roasting time per pound of turkey (p) to fully cook a turkey. It takes the oven 15 min to warm-up. Including the time it takes for the oven to warm up, which inequality should be used to calculate the weight of a turkey that can be roasted in 180 min?

•  $20p+15\le180$  

•  $15p+20\le180$  

•  $20p\ +15\ge180$  

•  $15p+20\ge180$