Equivalent Equations Lesson 1 Practice

Which equation is equivalent to the equation

 $6x+9=12.$  

•  $x+9=6$  

•  $2x+3=4$  

•  $3x+9=6$  

•  $6x+12=9$  

Tags

CCSS.8.EE.C.7A

Select ALL equations that have the same solution as the equation

 $3x-12=24.$  

•  $15x-60=120$  

•  $3x=12$  

•  $3x=36$  

•  $x-4=8$  

•  $12x-12=24$  

Tags

CCSS.8.EE.C.7A

Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The equation

 $0.05n+0.1d=3.65\$  is one way to represent this situation.  Which equation is equivalent to the equation  $0.05n+0.1d=3.65$  ?

•  $5n+d=365$  

•  $0.5n+d=365$  

•  $5n+10d=365$  

•  $0.05d+0.1n=365$  

Tags

CCSS.8.EE.C.7A

Select all the equations that have the same solution as $2x-5=15$  .

•  $2x=10$  

•  $2x=20$  

•  $2\left(x-5\right)=15$  

•  $2x-20=0$  

•  $4x-10=30$  

Tags

CCSS.8.EE.C.7A

When the outlier is removed from the data set, what is the mean?

• 4

• 3

• 3.5

• 5

A basketball coach purchases bananas for the players on his team. The table shows the total price in dollars, P, of n bananas.

Which equation could represent the total price in dollars for n bananas?

• $P=0.59n$

• $P=5.90-0.59n$

• $P=\frac{5.90}{n}$

• $P=n+0.59$

Tags

CCSS.HSF-BF.A.1A

Kiran is collecting dimes and quarters in a jar. He has collected $10.00 so far and has d dimes and q quarters. The relationship between the numbers of dimes and quarters, and the amount of money in dollars is represented by the equation  $0.1d+0.25q=10.$  

Select all the values (d, q) that could be solutions to the equation.

• (100, 0)

• (20, 50)

• (50, 20)

• (0, 100)

Here is a graph of the equation  $3x-2y=12.\ \$  

Select all coordinate pairs that represent a solution to the equation.

• (2, -3)

• (4, 0)

• (5, -1)

• (0, -6)

• (2, 3)

Jada bought some sugar and strawberries to make jam. Sugar costs $1.80 per pound, and strawberries cost $2.50 per pound. Jada spent a total of $19.40.

Which point on the coordinate plane represents the pound of sugar and strawberries that Jada used to make jam?

• Point A

• Point B

• Point C

• Point D

Tags

CCSS.8.EE.C.8C