Solving One-Step One Variable Equations Review

One Step Equations

Solving Equations

• Use inverse operation to isolate the variable

• Keep the equation balanced by performing the operation to both sides of the equal sign.

Multiple Choice

In an equation or inequality, you want to get the variable...

• on one side
• to disappear
• by itself

Solve y +14=20

• The inverse operation of addition is subtraction.

• Subtract 14 from both sides of the equal sign

• 20-14=6

• y=6

Solve x -120 = 80

• The inverse operation of subtraction is addition

• Add 120 to both sides of the equal sign.

• 80 +120= 200

• x=200

Multiple Choice

What is the inverse operation of addition?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the inverse operation of subtraction?

• addition

• subtraction

• multiplication

• division

Multiple Choice

To Solve the Equation Below, you'd
x - 62 = 123

• add 62 to each side
• subtract 62 from each side
• multiply each side by 62
• Add 123 to each side

Multiple Choice

What is your first step when you solve  x + 5 = 12

• Add 5 to 5 and add 5 to 5 to 12
• Subtract 5 from 5 and subtract 5 from 12
• Subtract 12 from 12 and subtract 12 from 5
• Add 12 to 12 and add 12 to 5

Multiple Choice

What is the inverse operation needed to solve for p?
765 = p - 254

• subtraction
• addition
• multiplication
• division

Multiple Choice

$$k+19=10$$   

• k = 190

• k = -9

• k = 29

• k = 10/19

Multiple Choice

$$21\ =\ 14\ +\ x$$  

• x = 7

• x = 35

• x = 294

• x = 1.5

Multiple Choice

$$-10\ =\ g\ -\ 2$$  

• g = -5

• g = -8

• g = -12

• g = -20

Multiple Choice

Use your calculator, scrap paper, or whiteboard to solve the one step equation

• 55

• 35

• 31

• 66

Solve 3n=12

• The inverse operation of multiplication is division

• Divide both sides by 3

• 12/3=4

• n=4

• The inverse operation of division  is multiplication 

• Multiply both sides by 2

• 16(2)=32

• k=32

Multiple Choice

What is the inverse operation of Multiplication?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the inverse operation of Division?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the first step to solve for b:

2b = -16

• add 2 to both sides

• subtract 2 to both sides

• multiply 2 to both sides

• divide 2 to both sides

Multiple Choice

What is the first step to solving this equation?

• add -8 to both sides

• subtract -8 to both sides

• Multiply -8 to both sides

• divide -8 to both sides

Multiple Choice

What would be the best first step to solving the equation?

• multiply both sides by 3
• multiply both sides by 4
• divide both sides by 3
• divide both sides by 4

Multiple Choice

$$\frac{w}{15}=-9$$  

• w = -3/5

• w = 6

• w = -24

• w = -135

Multiple Choice

$$110\ =\ -11m$$  

• m = 99

• m = -10

• m = 121

• m = -1210

Multiple Choice

$$\frac{n}{2\ }=\ -6$$  

• n = -12

• n = -4

• n = -3

• n = -8

Multiple Choice

$$15y\ =90$$  

• y = 75

• y = 1350

• y = 105

• y = 6

Multiple Choice

$$\frac{a}{3}=\ 15$$  

• a = 45

• a = 18

• a = 12

• a = 5