Topic 4 Study Guide

Front

What does the inequality b ≤ –2 represent on a number line?

Back

It represents all numbers less than or equal to -2, including -2 itself.

Front

If Tanner scored 6 points and Zach scored 4 times as many points, how do you calculate Zach's score?

Back

Multiply Tanner's score by 4: 6 points × 4 = 24 points.

Front

What is the inverse operation of division?

Back

Multiplication.

Front

How do you solve the equation 3x = 27 for x?

Back

Divide both sides by 3: x = 27 ÷ 3 = 9.

Front

If Jeremiah has 9 video games and I have 8 times as many, how do you find the total number of video games I have?

Back

Multiply Jeremiah's games by 8: 9 games × 8 = 72 games.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol '>' mean in an inequality?

Back

It means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

It means 'less than'.

Front

What is the solution to the inequality b > –2?

Back

The solution includes all numbers greater than -2.

Front

How do you express the equation x + 5 = 12 in terms of x?

Back

Subtract 5 from both sides: x = 12 - 5 = 7.