Unit 3 Test: Linear Equations and Inequalities

Front

Solve for c: 3c + 5 = 23

Back

c = 6

Front

Solve for b: -11 + 3(b + 5) = 7

Back

b = 1

Front

Solve for x: ax + c = r

Back

x = (r - c) / a

Front

Graph: y ≤ -2x + 5 and y > 2x + 7. Which of the following is NOT a solution? (-4, 2), (-10, 7), (-3, 0), (-2, 6)

Back

(-3, 0)

Front

Write the equation in slope-intercept form: -3y + 5x = 12

Back

y = (5/3)x - 4

Front

What is a linear equation?

Back

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

Front

What does 'slope' represent in a linear equation?

Back

The rate of change of y with respect to x, represented by 'm' in the equation y = mx + b.

Front

What is the y-intercept in a linear equation?

Back

The value of y when x = 0, represented by 'b' in the equation y = mx + b.

Front

What is an inequality?

Back

A mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you graph a linear inequality?

Back

Graph the corresponding linear equation as a boundary line, then shade the appropriate region based on the inequality.