Two-Step Equations

Two-Step Equations

Let's continue to learn how to solve equations!

Combining Like Terms

Sometimes you will need to combine like terms before solving. Let's look at an example:

 $3y\ -\ 8y\ =\ 25$  

Combine like terms: 3y and -8y

 $-5y=25$    -->    $y=-5$  

Combining Like Terms

Here is another example:

 $4\ +\ 4n\ =\ -2n\ -2$  

Combine constants and like terms

 $6\ +\ 4n\ =\ -2n$   -->    $6\ =\ -6n$  

Now divide both sides by the coefficient:  -6

 $n\ =\ -1$  

Fill in the Blanks

Solve the equation below.

 $-1-7x=2x+17$  

Multiple Choice

Solve for y.

 $-4+4x=6x-4$  

• x = 0

• x = 4

• x = -4

• No Solution

Fill in the Blanks

Solve for t.

 $12t-8t=-52$  

Equations in word problems

Fill in the Blanks

A cellphone company charges a monthly fee plus $0.25 for each text message you send. The monthly fee is $30 and you owe $59.50.

Write an equation that can solve for the numbers of text messages, m, sent.

Multiple Choice

A cellphone company charges a monthly fee plus $0.25 for each text message you send. The monthly fee is $30 and you owe $59.50.

Solve for the number of text messages.

• 118

• 1.975

• 208

• 95

Multiple Choice

Michael is collecting sea glass from the beach. He begins with 14 pieces and adds 3 new pieces per day. Determine how many days it will take Michael to have 80 pieces of sea glass in his collection.

• 32 days

• 5.5 days

• 22 days

• 198 days