Solving Equations and Inequalities Review

Front

What is an equation?

Back

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

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 solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging an equation so that the variable is on one side and all other terms are on the other side.

Front

What is the solution to the equation -5 - 7y = -20y + 34?

Back

y = 3

Front

How do you find the number of weeks for Sophie and Anna to have the same amount of money?

Back

Set up an equation based on their savings and solve for the number of weeks.

Front

What is the cost of one cookie if 6 cookies and a $1.50 tip equals the same total as 3 cookies and a $9.00 tip?

Back

The cost of one cookie is $2.50.

Front

What is the first step in solving the equation 2x + 4 = 10?

Back

Subtract 4 from both sides to isolate the term with the variable.

Front

What is the solution to the equation m - 1 = 9m + 15?

Back

m = -2

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set.