Introduction to Solving One-step Equations Using Integers

What you’ll learn to do: Solve one-step equations using integers

The apples are picked–now it’s time to divvy them up!

After a day of apple picking, Jessica, Mark, and Kim decide to split up their apples equally. In their shared basket, they count [latex]39[/latex] apples total. How many apples can each of them take home? To find out, they’ll need to use division in a one-step variable equation. In this section, you’ll learn how to maintain equality on both sides of the equation and solve for a variable.

Before you get started, take this readiness quiz.

readiness quiz

If you missed this problem, review this example.

Evaluate [latex]x+7[/latex] when

[latex]x=3[/latex]
[latex]x=12[/latex]

Show Solution

If you missed this problem, review the example below.

Evaluate [latex]9x - 2,[/latex] when

[latex]x=5[/latex]
[latex]x=1[/latex]

Show Solution

If you missed this problem, review the following video

	[latex]x+7[/latex]
Substitute.	[latex]\color{red}{3}+7[/latex]
Add.	[latex]10[/latex]

	[latex]x+7[/latex]
Substitute.	[latex]\color{red}{12}+7[/latex]
Add.	[latex]19[/latex]

	[latex]9x-2[/latex]
Substitute [latex]\color{red}{5}[/latex] for x.	[latex]9\cdot\color{red}{5}-2[/latex]
Multiply.	[latex]45-2[/latex]
Subtract.	[latex]43[/latex]

	[latex]9x-2[/latex]
Substitute [latex]\color{red}{1}[/latex] for x.	[latex]9(\color{red}{1})-2[/latex]
Multiply.	[latex]9-2[/latex]
Subtract.	[latex]7[/latex]

Chapter 1: Integers (Signed Numbers)