Solving One-Step Equations

Solving One-Step Equations

Integers

*Integers are positive and negative whole numbers.

*In order to solve one step equations, you need to be able to complete operations with integers (adding, subtracting, multiplying and dividing).

Multiple Choice

Solve -2 + 4.

• -2

• 6

• 2

• -6

Multiple Choice

Solve -2 - 4.

• 6

• -2

• 2

• -6

Multiple Choice

Solve 2 - 4.

• -2

• 6

• 2

• -6

Multiple Choice

Solve 2 - (-2).

• -2

• 4

• -4

• 0

Multiple Choice

Solve

 $2\ \cdot\ -3$  

• -6

• 6

• 9

• -9

Multiple Choice

Solve

 $-2\ \cdot\ -3$  

• -6

• -9

• 6

• 9

Multiple Choice

Solve

 $\frac{-10}{5}$  

• 2

• -2

• 5

• -5

Multiple Choice

Solve

 $\frac{-10}{-5}$  

• 2

• -2

• 5

• -5

Important Vocabulary for Equations

• Variable –  is a symbol, commonly a single letter, that represents a number.    

• Coefficient - A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. 
  

• Constant - is a number on its own

Solving Equations

• When solving equations, think of the equation as a scale.  Each side of the equals sign must remain “balanced.” 

• Whatever you do to one side, you MUST do it to the other.

• The goal of solving equations is to get one variable by itself on one side of the equals sign.

• You will use inverse operations to "undo" the problem to solve for the variable.

Multiple Choice

Solve

x - 5 = 15

• 20

• 10

• 3

• 5

Multiple Choice

Solve

7 + y = 2

• 5

• 9

• -5

• -9

Multiple Choice

Solve

31 = m + 16

• -15

• 2

• 47

• 15

Multiple Choice

Solve

n - (-3) = 10

• 17

• 13

• 7

• 10

Multiple Choice

Solve

-10 + y = 25

• -15

• 15

• 35

• 5

Multiple Choice

Solve

5m = 25

• 5

• 20

• 15

• 125

Multiple Choice

Solve

25m = 5

• 20

• 5

• 1/5

• 15

Multiple Choice

Solve

 $\frac{y}{10}=-2$  

• -5

• 12

• 8

• -20

Multiple Choice

Solve

 $\frac{x}{4}=\frac{10}{2}$  

• 40

• 20

• 5

• 15