Math 7 S2 Final Study Guide

What is the correct equivalent expression? $\left(13x-4\frac{2}{5}\right)-\left(4x+2\frac{4}{5}\right)$  

•  $17x-7\frac{1}{5}$  

•  $9x+2\frac{2}{5}$  

•  $9x-7\frac{1}{5}$  

•  $17x-1\frac{3}{5}$  

Boris currently has $1,200 in his savings account. He saves $25 per month. Let x be the number of months he puts money into the account and y be the total amount of money in the account at the end of each month. Which equation represents this situation?

• $y=1200+25x$

• $y=1200-25x$

• $x=25y-1200$

• $y=25x-1200$

Which expression factors to  $5\left(x-6\right)$  

•  $5x-6$  

•  $x+30$  

•  $5x-30$  

•  $5x+30$  

A taxi cab costs $1.75 for the first mile and $0.75 for each additional mile. You have $20 to spend on your ride. Which inequality represents how many miles you can travel?

• $1.75x+0.75\ge20$

• $1.75x+0.75\le20$

• $0.75x+1.75\le20$

• $0.75x+1.75\ge20$

Jack rented a boat for one day. It cost $15.50 plus $0.35 per hour. If Jack paid $16.90 in total for the boat rental. Which equation could be solved to find how many hours he used the boat?

• $15.50-0.35x=16.90$

• $15.50+0.35x=16.90$

• $15.50x-0.35=16.90$

• $15.50x+0.35=16.90$

Which equation has  $x=-2$   as the solution?

•  $2x+10=14$  

•  $2x+8=4$  

•  $3x+10=1$  

•  $3x-8=7$  

Which inequality has a solution of $x\ge-4$ ?

•  $-5x+12\ge32$  

•  $5x+12\ge32$  

•  $5x+12\le32$  

•  $-5x+12\le32$  

Which of the following inequalities has the graphed solution below?

• $2x+8\ge6$

• $2x-1\ge5$

• $6x+1\le13$

• $6x-1\le19$

What is the value of x?

• $15\degree$

• $75\degree$

• $165\degree$

• $45\degree$

A map scale is 1 in. : 50 mi. Two cities are 450 miles apart on the map. How far apart are the cities on the map?

• 9 inches

• 30 inches

• 225 inches

• 2.25 inches