Multi-Step Word Problems (Variables on One Side)

Mark wants to order the Xbox Series X. It costs $500. Mark has $300 saved. He earns $20 each week doing odd jobs for his neighbor. He spends $2 each week on candy. How many weeks will it take Mark to save enough to buy the Xbox? Which equation below represents this situation?

• $300+20x-2x=500$

• $500+20x-2x=300$

• $300-20x+2x=500$

• $300+20x+2x=500$

The perimeter of the triangle shown is 535 ft. Find the value of x. Which equation below represents this situation?

• $5x-2+3x+2-2x+1=535$

• $5x-2+3x+2=535$

• $5x-2-3x-2+2x-1=535$

• $5x-2+3x+2+2x-1=535$

The interior angles of a triangle add up to 180 degrees. Write an equation to find the missing angle measure of the triangle pictured.

• $180=90+x$

• $180=90+28+x$

• $90=28+x+180$

• $90-x=180$

The area of the triangle shown is 57 cubic centimeters. Which equation would allow us to solve for x. Hint:

 $Area=\frac{1}{2}\cdot base\cdot height$  

•  $\frac{1}{2}\cdot2x\cdot57=x$  

•  $\frac{1}{2}\cdot2x\cdot x=57^3$  

•  $\frac{1}{2}\cdot2x\cdot x=57$  

•  $57\cdot2x\cdot x=\frac{1}{2}$  

Meredith wants to donate $750 to wildlife conservation. She currently has $425. She spends $20 each week to buy lunch. She makes $59 each week babysitting. How long will it take Meredith to earn the money to make her donation? Which equation represents this situation?

• $425=750+59x-20x$

• $750=425-20x+59x$

• $750x=425+20x-59x$

• $59x-20x=750+425$

Solve for n.

 $7\left(3n-5\right)=91$  

•  $n=6$  

•  $n=-6$  

•  $n=3.2$  

•  $n=5$  

Solve for x.

 $-2\left(3x-8\right)+2\left(6x-6\right)=-32$  

•  $x=-6$  

•  $x=6$  

•  $x=-1$  

•  $x=1$