Lesson 2 Review

Equations with variables on both sides

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Review

Solve for x

3x = 9

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Solve for x

2x + 3 = 9

Some equations have terms with variables on both sides of the equation

Notice there are variables on both sides

The goal is to have the variables on one side of the equation while having the constants (numbers) on the other

x = "constant"

To do that, we remove as many as we can from both sides

Multiple Choice

How many x's (rectangles) can we remove from both sides?

• 1

• 2

• 3

• 4

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After removing the 3x from both sides, what will the equation look like?

DO NOT USE SPACES

Now we only have the variables on one side

We can move on to solving equations like you are used to

By removing the constants (on both sides) so that we have the variable (x) by itself

Multiple Choice

How many ones (yellow squares) can we remove from both sides?

• 2

• 4

• 6

• -2

We can subtract 2 from both sides

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After subtracting 2 from both sides. How does the equation look like now?

DO NOT USE SPACES

We conclude that each x (rectangle) is the same as 4

Multiple Choice

How many n's can we remove from both sides?

3n + 5 = 2n + 7

• 3n

• 2n

• 5

• 7

Multiple Choice

Solve

What's the next step?

n + 5 = 7

• Remove 5 from both sides

• Remove 7 from both sides

• Multiply by 5

• Multiply by 7

Remember

• The goal is to have the variables on one side

• We remove as many as we can from both sides

• Once there are variables only on one side, continue solving for x

Multiple Choice

Solve for x

5x + 2 = 4x + 4

• 1

• 2

• 3

• 4

Multiple Choice

Solve for x

8x + 3 = 5x +12

• 3

• 4

• 1

• 6

Equation

• a mathematical sentence stating two expressions are equivalent

• has an equals sign

Multiple Choice

Which of the following has an equals sign?

• Equation

• Expression

Solving equations

• use inverse operations to isolate the variable

• keep the equation balanced by performing the same operation on both sides of the equals sign

Fill in the Blanks

Inverse means

Multiple Choice

Which of the following inverse operations is incorrect?

• inverse of addition is subtraction

• inverse of multiplication is division

• inverse of division is squaring

• inverse of multiplication is division

3 = z + 6

• subtract 6 from both sides

• z = -3

r - ( -2 ) = -15

• rewrite as addition

• r + 2 = -15

• subtract 2 from both sides

• r = -17

Multiple Choice

How do we solve f - 12 = -4

• add -12 to both sides

• subtract 12 from both sides

• add 12 to both sides

• add 4 to both sides

-16 = -4p

• divide both sides by -4

• p = 4

k/3 = -30

• multiply both sides by 3

• k = -90

Multiple Choice

How do we solve -2k = -100?

• multiply by 2 on both sides

• divide by 2 on both sides

• add 100 to both sides

• divide by -2 on both sides

Multiple Choice

7 + g = 11

• g = 4

• g = -4

• g = 18

• g = -18

Multiple Choice

z/4 = -8

• z = -32

• z = 32

• z = 2

• z = -2

Poll

How do you feel about solving one-step equations?

• 1 - I'm totally lost and need some help.

• 2 - I am starting to get this!

• 3 - I understand what to do I just want more practice.

• 4 - I've got this! Let me do my work.

• 5 - I understand it so well I could help someone else if they need it!