Algebraic Equations & Inequalities Review

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, typically involving variables, constants, and operations.

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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation -3(4x - 10) = 42?

Back

x = -1

Front

Write an equation for the total cost of a service that includes a base fee and a tip. Example: Natalie charges $11 per hour plus a $6 tip for a total of $39.

Back

11x + 6 = 39

Front

What is the combined age equation for Margaret (x + 5) and her brother (2x) if their total age is 29?

Back

(x + 5) + (2x) = 29

Front

What is the solution to the equation 5 - a = 15?

Back

a = -10

Front

If Margaret's age is (x + 5) and her brother's age is (2x), what is her brother's age when their combined age is 29?

Back

16

Front

What is the first step to solve the equation 11x + 6 = 39?

Back

Subtract 6 from both sides to get 11x = 33.