SOAR Alg1 | 2-5A Solving Equations: Distributive Property

Match

Match the inverse operations.

• Addition

• Subtraction

• Multiplication

• Division

Subtraction

Addition

Division

Multiplication

• Subtraction

• Addition

• Division

• Multiplication

Multiple Choice

What does it mean to "isolate the variable"?

• To rewrite the equation so that all terms are on one side of the equal sign.

• To eliminate all numbers from the equation.

• To perform operations that result in the variable being alone on one side of the equation.

• To multiply both sides of the equation by the same number.

Multiple Select

Which operations are represented in this equation?

$$2x+1=5$$

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What is the correct first step when solving this equation?

$$2x+1=5$$

• Divide both sides by 2

• Subtract 1 from both sides

• Add 1 to both sides.

• Subtract 5 from both sides.

Fill in the Blanks

The solution to the equation:

$2x+1=5$

is $x=$

.

Multiple Choice

What is the correct first step when solving this equation?

$$4\left(y-1\right)=8$$

• Distribute the 4 to both terms inside the parentheses.

• Subtract 1 from both sides

• Multiply both sides by 4.

• Subtract 8 from both sides.

Draw

Solve the equation:

$$4\left(y-1\right)=8$$

Use the blank canvas to show your work.

You can enter your answer on the next slide.

Fill in the Blanks

The solution to the equation:

$4\left(y-1\right)=8$

is $y=$

.

Multiple Choice

What is the correct first step when solving this equation?

$$3\left(2p+4\right)=30$$

• Distribute the 3 to both terms inside the parentheses.

• Subtract 4 from both sides

• Multiply both sides by 3.

• Subtract 30 from both sides.

Draw

Solve the equation:

$$3\left(2p+4\right)=30$$

Use the blank canvas to show your work.

You can enter your answer on the next slide.

Fill in the Blanks

The solution to the equation:

$3\left(2p+4\right)=30$

is $p=$

.

Multiple Choice

What is the correct first step when solving this equation?

$$18=-3\left(2w+2\right)$$

• Distribute the -3 to both terms inside the parentheses.

• Subtract 2 from both sides

• Multiply both sides by -3.

• Subtract 18 from both sides.

Draw

Solve the equation:

$$18=-3\left(2w+2\right)$$

Use the blank canvas to show your work.

You can enter your answer on the next slide.

Fill in the Blanks

The solution to the equation:

$18=-3\left(2w+2\right)$

is $w=$

.