Expressions, Equations, & Inequalities

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

Write an inequality for a situation where a person has $500 and wants to keep at least $200 after spending $25 each week.

Back

500 - 25w ≥ 200

Front

What does the variable 'w' represent in the inequality 500 - 25w ≥ 200?

Back

The variable 'w' represents the number of weeks that the person withdraws $25.

Front

How do you solve the equation -3x + 5 = -13?

Back

Add 3x to both sides and subtract 5 from both sides to isolate x: 3x = -18, then x = 6.

Front

What is the solution to the equation 6x + 7 = 331?

Back

To solve for x, subtract 7 from both sides to get 6x = 324, then divide by 6 to find x = 54.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

Factor the expression 4x + 30y.

Back

2(2x + 15y)

Front

What is an equivalent expression?

Back

An equivalent expression is a different expression that has the same value for all values of the variable(s) involved.

Front

Simplify the expression 15 + 4(5y + 10).

Back

20y + 55

Front

What is the first step in solving an equation?

Back

The first step is to isolate the variable on one side of the equation, often by using inverse operations.