One-Step Equations Lesson

Solving One-Step Equations

Solving Equations

To solve an equation, we use inverse operations. Inverse means OPPOSITE.

Multiple Choice

What is the inverse of multiplication?

• Subtraction
• Addition
• Division
• Exponentiation

Multiple Choice

What is the inverse of addition?

• Exponentiation
• Multiplication
• Division
• Subtraction

Multiple Choice

What is the inverse of division?

• Subtraction
• Addition
• Exponentiation
• Multiplication

Multiple Choice

What is the inverse of subtraction?

• Division
• Multiplication
• Exponentiation
• Addition

To solve an equation:

You do the opposite of what it says in order to isolate the variable. That means get it by itself.

To solve x+5=14, you do the OPPOSITE of adding 5, which is to subtract 5.

​

​Example:

Now you are going to try several on your own. DO not forget about our negative number rules!

Multiple Choice

-5=b+8

• 8
• -5
• 3
• -13

Multiple Choice

x+4=-3

• -7
• 0
• 1
• -4

Multiple Choice

x-4=-2

• -2
• 6
• 0
• 2

Multiple Choice

-7=c-6

• -2
• 0
• -6
• -1

Multiple Choice

-8y=24

• 0
• 6
• -4
• -3

Multiple Choice

-72=-9x

• -8
• -9
• -72
• 8

Multiple Choice

$$\frac{a}{-4}=-9$$

• 9
• -4
• -36
• 36

Multiple Choice

$$30=\frac{y}{-6}$$

• -180
• -120
• -90
• -60

Multiple Choice

$$-1\frac{7}{8}x=4\frac{1}{2}$$

• -2 2/5

• 2 2/5

• -8 7/16

• 8 7/16

Multiple Choice

$$\frac{3}{4}x=-9$$

• -6
• -12
• -15
• -3

Multiple Choice

0.25x=-16

• -80
• -32
• -48
• -64

Multiple Choice

-2.8p=4.2

• 1.2
• -1.5
• -3.0
• 0.5

Multiple Choice

$$-\frac{1}{5}=x-\frac{3}{10}$$

• 1/2

• -1/10

• 1/10

• -1/2

Multiple Choice

w-4.3=-6.5

• -2.2
• -4.5
• -1.0
• -3.5

Multiple Choice

A stingray is at a certain depth in the ocean. After ascending $$5\frac{1}{2}$$ feet, it is now at a depth of $$-14\frac{5}{6}$$ feet. What was the stingray’s initial depth.

• -9 1/3 feet

• -81 7/12 feet

• -20 1/3 feet

• -2 23/33 feet

Multiple Choice

The temperature changes at a constant rate of -2℉ each hour. After several hours, the temperature changed by -8℉. How many hours did the temperature decrease?

• 4 hours
• 10 hours
• 6 hours
• 2 hours