Unit 1 Solving & Creating Equations Review

Unit 1 Solving & Creating Equations Review

Solving one-step equations

• Use an inverse operation to get to the variable by itself

• Check your answer

Multiple Select

Check all that apply:

2.5 + A = 23.4

• the inverse operation of addition is subtraction

• + 2.5 on both sides

• -2.5 on both sides

• A = 21.1

• Check your answer by replacing the variable with its value

Solve two-step equations

• What are you solving for?

• + or - to isolate the variable term.

• × or ÷ to solve for the variable.

Multiple Select

Check all that apply:

5v + 4 = -26

• First step: +26 on both sides

• First step: -4 on both sides

• Second step: +26 on both sides

• Second step: -5 on both sides

• Second step: divide by 5 on both sides

Fill in the Blank

What is the value of v?

5v + 4 = -26

v = ?

Type the number, no space.

Solving multi-step equations

• Can you distribute?

• Can you combine like-terms?

• Use inverse operations to solve.

Multiple Select

Check all that apply:

-28 = 2a + 8 - 5a

• I can use distribution

• I can combine like-terms

• -28 and +8 can be combined

• 2a and -5a can be combined

• -28 = -3a + 8

Fill in the Blank

What is the first step in the equation?

-2 (x - 4) = 10

Variables on both sides

Move all variable terms to one side

Multiple Choice

How to move all variables to one side?

2x - 4 = x + 5

• +4 on both sides

• -5 on both sides

• +2x on both sides

• -x on both sides

Multiple Select

How to move all variables to one side?

3a + 2 = 8a + 9

• -2 on both sides

• -9 on both sides

• -8a on both sides

• +8a on both sides

• -3a on both sides

Fill in the Blank

Solve for x.

4x - 6 = 2x + 2

Type the number, no space.

Can I combine like-terms here with the 3x and -x?

Hint: they have to be on the same side to combine.

Solve literal equations

• Literal equations have two or more variables

• Isolate the variable to be solved

Multiple Choice

4r - b = m, solve for r.

• divide by 4 on each side then +b

• +b on both sides, then divide by 4

• -m on each side, then divide by 4

• -4r on each side, then +b

Multiple Choice

Interpret the sentence:

Perimeter is twice the sum of length and width.

• p = 2 + l + w

• p = 2 x l + w

• p = 2 x (L + W)

Poll

How do you feel about the Unit 1 Review?

• I am confident

• I understand most of them

• I understand a little

• I have no idea