7. Ch. 1 Review

Front

What does the absolute value of a number represent?

Back

The absolute value of a number represents its distance from zero on the number line, regardless of direction.

Front

Solve the equation: ∣ 3x - 7 ∣ = 11. What are the possible values of x?

Back

x = 6 or x = -2/3.

Front

What is the first step to solve the equation 8 = 4x - 12?

Back

Add 12 to both sides of the equation.

Front

Solve the equation: 3 - 5n = -22. What is the value of n?

Back

n = 5.

Front

Solve the inequality: 5z + 4 > 19. What is the value of z?

Back

z > 3.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the solution set of an absolute value equation?

Back

The solution set of an absolute value equation can have two solutions, one for the positive case and one for the negative case.

Front

Back

Front

What is the general form of a linear inequality?

Back

The general form of a linear inequality is similar to a linear equation but uses inequality symbols (>, <, ≥, ≤) instead of an equal sign.