Unit 1: Linear Expressions, Equations and Inequalities

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable raised to the first power.

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

How do you solve the inequality -9 > -16 + b?

Back

To solve, isolate b: Add 16 to both sides to get 7 > b, or b < 7.

Front

What does the inequality g ≥ 20 represent?

Back

It represents that there will be at least 20 guests attending the party, meaning 20 or more.

Front

What is the first step in solving the equation 8(12x + 20) = 832?

Back

The first step is to distribute 8 to both terms inside the parentheses.

Front

What is the next step after simplifying 96x + 160 = 832?

Back

Subtract 160 from both sides to isolate the term with x.

Front

What does the term 'distributing' mean in algebra?

Back

Distributing means multiplying each term inside parentheses by the factor outside the parentheses.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation 96x = 672?

Back

Divide both sides by 96 to find x = 7.

Front

What is the purpose of solving inequalities?

Back

The purpose is to find the range of values that satisfy the inequality condition.