Equations and Inequalities Benchmark 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 and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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 solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation and the constant on the other.

Front

What is the first step in solving the equation 5x + 15 = 35?

Back

The first step is to subtract 15 from both sides of the equation.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for '<' or '>' and a closed circle for '≤' or '≥', then shade the appropriate direction.

Front

What is the solution to the equation 8x - 10 = -34?

Back

The solution is x = -3.

Front

What is the second step in solving the equation 3x - 1 < -13?

Back

The second step is to add 1 to both sides of the inequality.