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Mod1 DBA Guide

Tara Adams

Created on August 21, 2024

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Module 1 DBA Prep

Here are some examples of what you should know.

Literal Equations

Solving One-Variable Equations

Creating One-Variable Equations

One-Variable Inequalities

Solving One-Variable Equations

When solving equations sometime you have one solution, no solution, or the solution is all real numbers. Be able to explain when an equations would give those different types of solutions.

Solve the equation

5(3x − 4) + 1 = 8x − 5

Creating One-Variable Equations

The Olympic training camp wants to have a total of 200 minutes of track and field practice. They’ve already done 110 minutes of sprint practice. The rest of the time will be used for relay race practice, where each session is 15 minutes long.

Create an equation to represent the total practice minutes, where 𝑥 is the number of relay practice sessions. Solve the equation to find out how many relay practice sessions are needed to reach 200 total practice minutes.

One-Variable Inequalities

When working with inequalities:

Solve the inequality

  • Know when you need to flip the inequality sign.
  • What a compound inequality is.
  • When to use an open or closed circle for graphing inequalities.

3 − (x + 6) > − 4 (x + 3)

Literal Equations

The formula 𝑃= 2𝐿 + 2𝑊 calculates the perimeter of a rectangle, where 𝑃 is the perimeter, 𝐿 is the length, and 𝑊 is the width. Solve this formula for 𝐿.