UNIT 5 | Linear Equations | STUDY GUIDE

Simplify an expression for the perimeter of the equilateral triangle shown below.

Which of the following expressions has a simplified value of -2.3w – 12 ?

• $-10-5w+12+8w$

• $-1.5w+4+5w-1.5w-6$

• $-8+4w+20-1.7w$

• $6.2+8.9w-12-11.2w-6.2$

Which is the correct simplified version of the expression shown after distributing and combining like terms?

 $-\frac{4}{3}\left(15x+30\right)+5$  

•  $15x+35$  

•  $20x+35$  

•  $-15x-35$  

•  $-20x-35$  

Simplify the expression by distributing and combining like terms.

 $-12+0.6\left(50-11x\right)+2.6x$  

Which is the correct first step to solve the linear equation shown?

 $\frac{x}{-3.5}+33=30$  

• A. Add 3.5 to both sides 

• B. Multiply -3.5 from both sides 

• C. Add 33 to both sides 

• D. Subtract 33 from both sides

Solve the equation in number 5.

 $\frac{x}{-3.5}+33=30$  

Austin solved the equation as shown below. Which correctly describes the error that Austin made in his work?

• A. Austin did not combine 7x and 8x correctly.

• B. Austin did not combine -3 and -9 correctly.

  .

• C. Austin did not add correctly.

• D. Austin did not make an error in his work

Which of the following shows the equation below after it has been simplified?

34 = -2 + 9x + 16 + x

• A. 34=10x +14

• B. 34=8x +18

• C. 34=9x +14

Solve the equation below.

34 = -2 + 9x + 16 + x

The perimeter of the rectangle shown is 36 inches. Write and solve an equation to find the value of x.