Equations and Inequalities

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, greater than or equal to, or less than or equal to the other.

Front

Solve the inequality: x/4 ≤ 8

Back

x ≤ 32

Front

What is the solution to the equation: 4x + 7 = 23?

Back

x = 4

Front

Solve for x: x/2 - 5 = 3

Back

x = 16

Front

What is the expression for 5(a + 6)?

Back

5a + 30

Front

Solve the equation: 3c + 5 = 23

Back

c = 6

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 opposite side.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

How do you solve an equation with variables on both sides?

Back

You can solve it by moving all terms involving the variable to one side and constant terms to the other side.

Front

What is the first step in solving the equation: 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.