Solving Multistep Equations

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​Solving Multi-Step Equations

Follow along and answer the question in this Quizizz Lesson.

In case you need a little help, I have included some informational slides to help out.

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Simplifying before Solving

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As you can see in the photo to the right, some equations must be simplified before they can be solved.​

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The goal is to simplify the equation into a two-step equation.​

​The first 3 steps of this problem show how to simplify the equation.

After simplifying, we can see that ​we have a two-step equation and we use inverse operations to solve.

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If an equation contains parentheses, like the ones you see in these examples, you must distribute the value on the outside to get rid of the parentheses.

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Remember, distribute means to multiply!​

Distributive Property

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​With all POSITIVE values.

​Be careful with negatives!

Multiple Choice

5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Multiple Choice

Which of the following is equivalent to 2(c - 8)?

• 2c - 16
• 2c + 16
• 2c - 8
• c - 16

Multiple Choice

When an equation has parentheses, which operation should we use to simplify and get rid of the parentheses?

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

-9(g - 3)

• -9g + 27

• 9g + 27

• -9g + -27

• -9k - 27

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Sometimes, to simplify an equation, it could involve combining like terms.

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As you can see in the example, regrouping the like terms makes it easier to combine.​

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Combine Like Terms

When combining like terms, pay attention to the sign in front of each term.

Combining could mean we add or subtract.​

Multiple Choice

Simplify the expression:

$$3a+7-2a$$  

• 8a

• 12a

• a + 7

• 5a + 7

Multiple Choice

Simplify the expression:

$$n-10+9n-3$$  

• -3
• 9n-3
• n
• 10n -13

Multiple Choice

Simplify the expression:

$$4x-3+2-2x$$  

• 6x + 5

• 2x + 1

• 2x - 1

• 6x - 1

Multiple Choice

Simplify the expression:

$$-9w+7-4w-16$$  

• -13w -9

• 5w -23

• -13w - 23

• -5w - 9

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Solving Multi-Step Equations

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​The first 3 steps of this problem show how to simplify the equation.

After simplifying, we can see that ​we have a two-step equation and we use inverse operations to solve.

​On the next few slides, you will be asked to simplify and solve a few equations. Please complete these examples on page 22 of your notebook.

Multiple Choice

Simplify the following equation and solve for x:

$$2x-3+4x=27$$  

Show your work on page 24 of your notebook.

• x = 12

• x = 4

• x = 5

• x = 15

Multiple Choice

Simplify the equation and solve for the variable.

$$24\ =\ 3\left(3x\ -7\right)$$

Show your work on page 24 of your notebook.

• $$x\ =\ -9$$  

• $$x\ =\ 5$$  

• $$x\ =3$$  

• $$x\ =\ 7$$  

Multiple Choice

Simplify the following equation and solve for x:

$$3x+2(4x-4)=3$$  

Show your work on page 24 of your notebook.

• x = 4

• x = 3

• x = 2

• x = 1