Linear Equations and Inequalities Review

5m + 1 = 5m - 1 is an example of a _______________________.

• One solution

• Infinite solutions, meaning all real numbers are solutions.

• No solution

Tags

CCSS.8.EE.C.7A

Find all values of x:

 $\frac{1}{8}\left(4x-24\right)=\frac{3}{2}x+16$  

•  $x=-\frac{19}{2}$  

•  $x=19$  

•  $x=-19$  

•  $x=\frac{19}{2}$  

Solve for x:

 $\frac{2}{5}\left(x-15\right)\ge\frac{2}{5}x-6$  

•  $x\ge-6$  

• No solution

• Infinite solutions, meaning all real numbers are solutions

•  $x\le-6$  

Solve for x:

 $-2\left(x-16\right)<3x+7$  

•  $x>-5$  

•  $x<-5$  

•  $x>5$  

•  $x<5$  

Solve for x:

 $-\left(x-2\right)=2\left(\frac{1}{2}x-3\right)+2x$  

•  $x=2$  

• No solution

•  $x=-\frac{3}{2}$  

•  $x=4$  

•  $x=3$  

Tags

CCSS.8.EE.C.7B

Five equations are given. Each equation has infinitely many solutions, only 1 solution, or no solution. Select ALL equations that have infinite solutions.

•  $x-5=2x-3$  

•  $\frac{1}{2}\left(6x-24\right)=3\left(x-4\right)$  

•  $17x+5=-17x+5$  

•  $4x-6=4x+9$  

•  $5\left(x-15\right)=\frac{1}{4}\left(20x-60\right)$  

Tags

CCSS.8.EE.C.7A

Four times the difference of twice n and 4 is the same as the product of four and 2n less than 4. Find n.

• There is no solution.

•  $n=2$ 

• There are infinite solutions

•  $n=-2$ 

Tags

CCSS.8.EE.C.7B

Sadie wants to get a zoo membership. She has 2 choices. Crazy Safari offers a monthly fee of $25 and joining fee $50. Kangaroo-ma-zoo offers a monthly fee of $15 and and a joining fee of $100. How many months will it take for both memberships to cost the same amount? Round to the up to the next whole number if there is a decimal.

• 4 months

• 15 months

• 5 months

• 2 months