Algebraic Equations and Inequalities

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that asserts the equality of two expressions, typically containing variables, constants, and operators.

Front

What is an inequality?

Back

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

Front

Solve the inequality: -2x + 3(-4x + 6) ≤ 116

Back

x ≥ -7

Front

Solve the compound inequality: -3 ≤ 2x - 1 ≤ 5

Back

-1 ≤ x ≤ 3

Front

Solve the inequality: 3(x - 3) ≤ 2(x + 2)

Back

x ≤ 13

Front

What does the number line graph representing x < 2 indicate?

Back

It indicates that all values of x are less than 2.

Front

What is the solution type for the equation 2x + 3 = 2x + 5?

Back

no solution

Front

What is the solution type for the equation x + 4 = x + 4?

Back

infinite solutions

Front

What is the first step in solving the inequality 5x - 3 < 2?

Back

Add 3 to both sides to isolate the term with x.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values of the variable that can satisfy the inequality.