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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