Do NowComplete in your lecture notebook quietly.

1) 4x + 18 is an example of what vocabulary word?

2) Which operation should be performed first in the expression 4 + (8 ÷2) x 3 – 10?

3) Simplify 27 ÷ 3 + (12 – 4)4) What property does the equation ( x + y ) + z = x + (y + z) represent?5) What property is shown by the equation 5 + (3 + 6) = 5 + (6 + 3)?

Solving ONE STEP EQUATIONS

ObjectiveStudents will be able to:

demonstrate their understanding of inverse operations by correctly solving 4 one-step equations at a basic level of proficiency.

Think of an equation as a balance scale.

Whatever you do to one side has to be done to the other to keep it balanced!

ONE STEP EQUATIONS

• What is the variable?

To solve one step equations, you need to ask three questions about the

equation:

• What operation is performed on the variable?

• What is the inverse operation?

(The one that will undo what is being done to the variable)

ONE STEP EQUATIONS

• The addition property of equality tells us to add the same thing on both sides to keep the equation equal.

• The subtraction property of equality tells us to subtract the same thing on both sides to keep the equation equal.

Vocabulary

ONE STEP EQUATIONS

• The multiplication property of equality tells us to multiply the same thing on both sides to keep the equation equal.

• The division property of equality tells us to divide the same thing on both sides to keep the equation equal.

Vocabulary

ONE STEP EQUATIONSExample 1 Solve x + 4 = 12

ONE STEP EQUATIONSExample 2 Solve y - 7 = -13

ONE STEP EQUATIONSExample 3 Solve –6a = 12

ONE STEP EQUATIONSExample 4 Solve 2

b = -10

When solving equations, we want to eliminate double signs.

y + (-3) = 8

is rewritten as

y – 3 = 8

p – (-5) = 6

is rewritten as

p + 5 = 6As a general rule, replace “+ (- )” with “–” and “– (- )” with “+”. This will make things less confusing in the future!

1) Solve x + 2 = -3Get the variable by itself. What is your

first step?2) Solve 8 = m - 33) Solve y + (-3) = 74) Solve. -x - (-2) = 15) Solve -y – (-3) = 7

6) Negative thirty-four times a number equals 578. Find the number.7) Solve –12b = 2768) Solve 35t = 5959) Solve 32 = –16c

10)

Exit SlipSolve each equation. Show all your work.

1)d + 18 = -27

2) 3)-12 + a = -364)-17y = 391

1832 p