Solve Linear Equations and Inequalities

Front

Solve for n: 2m - n = 8

Back

n = 2m - 8

Front

Solve for x: 6(2x + 1) = 18

Back

x = 1

Front

An electrician charges $42 per hour. He estimates that he will need $628 in materials for a project and the total cost of the project will be $1,384. How many hours does the electrician expect the job to take?

Back

18 hours

Front

Solve for y: 8x + 4y = 12

Back

y = -2x + 3

Front

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

Back

2 hours

Front

Definition: Linear Equation

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

Definition: Inequality

Back

A mathematical statement that indicates one quantity is larger or smaller than another, using symbols like <, >, ≤, or ≥.

Front

Definition: Slope (m) in a linear equation

Back

The rate of change of y with respect to x, representing the steepness of the line.

Front

Definition: Y-intercept (b) in a linear equation

Back

The value of y when x = 0, where the line crosses the y-axis.

Front

Solve for x: 3x + 5 = 20

Back

x = 5