Checkpoint - Simplifying and Solving Equations

Which expressions are equivalent to $4(x−1)$ ? Mark ALL that apply. 

•  $4x−3$  

•  $4x−1$  

•  $4x−4$  

•  $4+x−1$  

•  $2x−4+2x$  

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

Which of the following expressions is $3(x+2)−9$ in simplest form?

•  $3x−15$  

•  $3x−3$  

•  $3x+3$  

•  $3x+15$  

What is the first step that should be taken to solve the equation $5y+3y=24$ ?

• Divide both sides of the equation by 5.

• Subtract 3y from both sides of the equation.

• Divide both sides of the equation by 3.

• Rewrite 5y + 3y as 8y.

Which expressions are equivalent to $3(x−5)$ ? Mark ALL that apply.

•  $3x−15$  

•  $5x−15+2x$  

•  $3x−8$  

•  $3x−5$  

•  $x−5−2x−10$  

Which of the following expressions is $2(x+7)−4$ in simplest form?

•  $2x+14$  

•  $2x+3$  

•  $2x+10$  

•  $−2x+14$  

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

What is the first step that should be taken to solve the equation $2y+8y=48$ ?

• Divide both sides of the equation by 2.

• Rewrite 2y + 8y as 10y.

• Divide both sides of the equation by 48.

• Subtract 8 from both sides of the equation.

Which expressions are equivalent to $2(x+3)−5$ ? Mark ALL that apply.

•  $2x+1$  

•  $2x−2$  

•  $4x−2x+1$  

•  $5x−3x−1$  

•  $2x+3−5$  

What is the value of x in the equation below?
 $4(x−2)+6=−14$  

•  $x=−5$  

•  $x=−4.5$  

•  $x=−3$  

•  $x=0$  

What is the value of y in the equation below?
 $6y−4+3y−2=21$  

•  $y=9$  

•  $y=6\frac{1}{3}$  

•  $y=3$  

•  $y=1\frac{2}{3}$  

Four friends took a taxi downtown to a restaurant. Each friend spent $3 on the taxi ride and ordered the same meal. The total cost of the evening for all four was $40. If x represents the cost of a meal, which equation represents this situation?

• $4(x+3)=40$

• $3(x+4)=40$

• $40(x+3)=4$

• $40+3+4=x$