SOAR Alg1 | 2-5B Solving Equations: Combining Like-Terms

Match

Match the like-terms.

• $$5x$$

• $$2y$$

• $$10z$$

• $$12$$

• $$-3x$$

• $$5y$$

• $$4z$$

• $$-9$$

Multiple Select

On the left side of the equation:

$$5x+10-2x=19$$

Which terms are like-terms?

• $$5x$$

• $$10$$

• $$-2x$$

Reorder

Solve this equation:

$$5x+10-2x=19$$

Arrange the steps in order below:

• Combine like-terms:

  $$3x+10=19$$

• Subtract 10 from both sides:

  $$3x=9$$

• Divide both sides by 3:

  $$\frac{3x}{3}=\frac{9}{3}$$

• Simplify:

  $$x=3$$

1

2

3

4

• 1
• 2
• 3
• 4

Draw

Solve this equation:

$$10y-7+2y=17$$

Use the blank canvas to show your work.

Enter your answer on the next slide.

Fill in the Blanks

The solution to the equation $10y-7+2y=17$ is $y=$

.

Multiple Select

On the right side of the equation:

$$20=-5a-12+2$$

Which terms are like-terms?

• $$-5a$$

• $$-12$$

• $$2$$

Reorder

Solve this equation:

$$20=-5a-12+2$$

Arrange the steps in order below:

• Combine like-terms:

  $$20=-5a-10$$

• Add 10 from both sides:

  $$30=5a$$

• Divide both sides by 5:

  $$\frac{30}{5}=\frac{5a}{5}$$

• Simplify:

  $$6=a$$

1

2

3

4

• 1
• 2
• 3
• 4

Draw

Solve this equation:

$$12=-7b-10+8$$

Use the blank canvas to show your work.

Enter your answer on the next slide.

Fill in the Blanks

The solution to the equation $12=-7b-10+8$ is $b=$

.

Multiple Select

On the left side of the equation:

$$10h-3-5h=12$$

Which terms are like-terms?

• $$10h$$

• $$-3$$

• $$-5h$$

Reorder

Solve this equation:

$$10h-3-5h=12$$

Arrange the steps in order below:

• Combine like-terms:

  $$5h-3=12$$

• Add 3 to both sides:

  $$5h=15$$

• Divide both sides by 5:

  $$\frac{5h}{5}=\frac{15}{5}$$

• Simplify:

  $$h=3$$

1

2

3

4

• 1
• 2
• 3
• 4

Draw

Solve this equation:

$$16c+10-6c-5=35$$

Use the blank canvas to show your work.

Enter your answer on the next slide.

Fill in the Blanks

The solution to the equation $16c+10-6c-5=35$ is $c=$

.