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 one or more variables.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing 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, perform inverse operations to both sides of the equation until the variable is alone on one side.

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 the first step in solving the equation 3n - 4 = -2 + 2n?

Back

Subtract 2n from both sides of the equation.

Front

What is the solution to the equation 5(2x-1)=-5+10x?

Back

All real numbers.

Front

What is the solution to the equation -8(-8x - 6) = -6x - 22?

Back

x = -1.

Front

How do you represent a monthly payment in an inequality?

Back

If you want to spend at most $1200 on a laptop with a $400 down payment, the inequality is 12x + 400 < 1200.

Front

What is the solution to the equation 0.5(2x-6)=0.2(4x-10)?

Back

x = 5.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.