4-2 Apply Properties of Equality

4-2 Apply Properties of Equality

Multiple Select

How can you use the properties of equality to write equivalent expressions?

• You can add or subtract the same amount from both sides of an equation.

• You can add or subtract different amounts from both sides of an equation.

• You can multiply or divide the same amount from both sides of an equation.

• You can multiply or divide different amounts from both sides of an equation.

Multiple Choice

A pan balance shows that

 $7+5=12$  . If 4 units are removed from one side what needs to happen to the other side to keep the pans balanced?

• Remove 2 units from the other side.

• Add 2 units to the other side.

• Remove 4 units from the other side.

• Add 4 units to the other side.

Multiple Choice

If one side of the equation

 $23+43=66$  is multiplied by 3, what needs to be done to the other side to keep both sides equal?

• multiply by 3

• divide by 3

• add 3

• subtract 3

Multiple Choice

True or False: If

 $23+37=60$ does  $23+37+9=60+9$  ? 

• True

• False

Multiple Choice

True or False: If $16+1=17$  does  $\left(16+1\right)-1=17-2$  ?

• True

• False

Multiple Choice

 $7n=28$  

Use properties of equality to solve this equation. 

• n = 21

• n = 4

• n = 7

• n = 196

Fill in the Blank

 $14+v=20$  

Use the properties of equality to solve this equation.

Multiple Choice

 $n-15=30$  

Use the properties of equality to solve this equation.

• n = 30

• n = 45

• n = 2

• n = 450

Fill in the Blank

 $7n=63$  Use the properties of equality to solve for n.

Multiple Choice

If you add 5 to one side of an equation, what do you do to the other side to maintain equality?

• divide by 5

• multiply by 5

• add 5

• subtract 5

Multiple Choice

If you divide one side of an equation by 2.5, what must you do to the other side to maintain equality?

• add 2.5

• subtract 2.5

• multiply by 2.5

• divide by 2.5