Solving Equations and Inequalities

Front

What is an equation?

Back

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

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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

What does it mean to solve an inequality?

Back

To solve an inequality means to find the range of values for the variable that makes the inequality true.

Front

What is the solution to the equation: 2x - 14 = 6?

Back

x = 10.

Front

Where did Rajendra make an error in his calculation?

Back

Step 3.

Front

What is the value of y that satisfies the equation: 3y = 189?

Back

y = 63.

Front

Ainsley bought shirts for $15 each and received $50 off her total purchase. If she spent $400, which equation represents the number of shirts purchased?

Back

15x - 50 = 400.

Front

What is the solution to the inequality -2x - 4 ≤ 11?

Back

x ≥ -7.5.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or inequality.