Solving Equations and Inequalities

Front

Solve the equation: 3(x - 1) = 2x + 9

Back

x = 12

Front

The solution to the inequality 5x − 4 > 21 is represented by which number line?

Back

x > 5

Front

Which graph represents -5 ≤ x ≤ 5?

Back

Graph 1

Front

Solve the equation: 3x - 7 = 3(x - 3) + 2

Back

infinite solutions

Front

Which graph represents -2 < x < 3?

Back

Graph 2

Front

What is an equation?

Back

A mathematical statement that asserts the equality of two expressions.

Front

What is an inequality?

Back

A mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does it mean to solve an equation?

Back

Finding the value(s) of the variable that make the equation true.

Front

What is the difference between a solution and a root of an equation?

Back

A solution is the value that satisfies the equation; a root is a specific type of solution where the equation equals zero.

Front

What is the graphical representation of an inequality?

Back

A number line or a shaded region on a graph indicating the range of values that satisfy the inequality.