Solving Equations Review

​Solving Equations Review

​Before you begin...

The following slides will help you to review the steps to solving one and two-step equations.

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Before you begin, please pick up the corresponding sheet of paper from Mrs. Strickland. You are supposed to complete the page as you work through the slides and complete the practice problems.​

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There are interactive slides throughout so make sure you are paying attention.​

When solving an equation, we are attempting to find an unknown value by working the equation backwards or doing inverse operations.​

Solving Equations and Inverse Operations

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​3x = 15

In this equation, we can see that an unknown value "x" was multiplied by 3 and the resulting value equaled 15.

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To solve this equation, we would need to do the inverse operation to solve for "x". This would mean that we would divide 15 by 3.​

Multiple Choice

What does "isolate the variable" mean?

• Make sure the variable is not alone.
• Get the variable by itself.
• Make the variable do a dance.
• Double the variable

Match

Match each operation below with the inverse operation.

(The bottom cards are shuffled. Click and drag down to match.)

• Addition

• Subtraction

• Multiplication

• Division

Subtraction

Addition

Division

Multiplication

• Subtraction

• Addition

• Division

• Multiplication

Complete these four examples on your paper before moving forward. Use inverse operations and show your work.

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Solving One-Step Equations​

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When solving an equation, our goal is to isolate the variable. This means that we want the variable to by itself.

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Take a look at the examples

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If needed, go back and complete any of the examples you didn't do from the previous slide.​

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Solving One-Step Equations

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Multiple Choice

Solve the equation:

$$2x=-18$$  

• x = 16

• x = 9

• x = -9

• x = -16

Fill in the Blanks

Solve the equation:

$x-7=20$  

(Write the value of x in the blank below)

Multiple Choice

Solve the equation:

$$x+5=-8$$  

• 3

• -3

• 12

• -13

Fill in the Blanks

Solve the equation

$\frac{x}{3}=-10$  

(Type the value in the blank provided.)

Try to solve these examples on your paper by using inverse operations before moving to the next slide.​

Solving Two-Step

Equations

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A two step equation is an equation that is created by performing two operations.

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Let's take a look at the example here...​

Solving Two-Step Equations

In this equation, an unknown value "x" was multiplied by -3 (-3x) and then increased by a value of 4 (+4) with a resulting value of 16 (=16).

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As you can see, they completed inverse operations to solve for "x".​

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Multiple Select

Which TWO operations/steps would need to be completed to solve for x?

Select BOTH correct answers.

$$4x-15=25$$  

• Add 15 to both sides

• Subtract 15 from both sides

• Multiply by 4 on both sides

• Divide by 4 on both sides

Multiple Choice

Which step should be completed first to solve for x?

$$4x-15=25$$  

• Add 15 to both sides

• Subtract 15 from both sides

• Multiply by 4 on both sides

• Divide by 4 on both sides

Multiple Select

What is the second step in solving the equation?

$$4x-15=25$$  

• Add 15 to both sides

• Subtract 15 from both sides

• Multiply by 4 on both sides

• Divide by 4 on both sides

Fill in the Blanks

Solve the equation and type the answer in the blank.

$4x-15=25$  

Fill in the Blanks

Solve the following equation:

$5x+8=43$  

Multiple Choice

Solve the equation for w:

$$-6w+1=-11$$  

• 2
• 1.2
• 12
• -2

Fill in the Blanks

Solve the following equation:

$\frac{x}{3}-7=1$