Download Solving One-Step Equations

Integrated Math I
Objective:
Solve one-step linear equations in one
variable with strategies involving inverse
operations and integers
DEFINITIONS
Term: a number, variable or the
product or quotient of a number
and a variable.
12
X
2w
𝒄
𝟑
Terms are separated by
addition (+) or subtraction (-)
signs.
3a – 2/5b + 7x – 4z + 52
How many Terms do you see?
5
HOW MANY TERMS DO YOU SEE?
1)
𝟐𝒙𝟐 + 1
2 terms
2) 9x – r + 6y + 90
3) 𝟓𝒙 + 𝒙𝟑 + 4
4) 19x𝒚𝟐 z
4 terms
3 terms
1 term
DEFINITIONS
Constant: a term that is a
number without a variable.
Coefficient: the number value
in front of a variable in a
term.
3x – 6y + 18 = 0
What are your coefficients?
What is your constant?
18
3 , -6
WHAT IS YOUR COEFFICIENT,
WHAT IS YOUR CONSTANT?
7x – 8y – 12 = 0
Coefficient
Constant
7 and -8
-12
SOLVING ONE-STEP EQUATIONS:
• A one-step equation means you only
have to perform one mathematical
operation to solve it.
•
You can add, subtract, multiply or divide
to solve a one-step equation.
Example 1
Solving an addition equation:
t + 7 = 21
-Draw a line down the equal sign to separate the equation into
two parts.
-Get rid of the 7 by doing the opposite operation to both sides
of the equation.
t + 7 = 21
-7
-7
t = 14
Example 2
Solving a subtraction equation:
g – 6 = 40
Get rid of the 6 by doing its opposite operation to both
sides of the equation.
g – 6 = 40
+6
+6
g = 46
Example 3
Solving a multiplication equation:
8n = 32
Get rid of the 8 by dividing both sides of the equation by 8.
Here we “undo” multiplication by doing the opposite –
division.
8n = 32
8
8
n=4
Example 4
Solving a division equation:
k / 9 = 11
Get rid of the 9 by using the opposite operation
which is multiplication.
k / 9 = 11
x9
x9
k = 99