Test: 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 and constants.

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 for a variable in an equation?

Back

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

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves representing the solutions of the inequality on a number line or coordinate plane, often using a shaded region.

Front

What is the difference between '≤' and '≥'?

Back

'≤' means 'less than or equal to', while '≥' means 'greater than or equal to'.

Front

How do you write an inequality for a maximum value?

Back

If a quantity cannot exceed a certain value, you write it as 'x ≤ maximum value'.

Front

If a box of macaroni and cheese costs $1.50, how much do 12 boxes cost?

Back

12 boxes cost $18.00 (1.50 x 12 = 18).

Front

What is the solution to the inequality x ≤ 50?

Back

The solution includes all values of x that are less than or equal to 50.

Front

How do you match an inequality to its graph?

Back

Identify the boundary line and the direction of shading that represents the solutions of the inequality.

Front

What is the first step in solving the equation 2m + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with the variable.