Solving Linear Equations and Inequalities

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What is the solution to the equation 5x = 45?

Back

x = 9

Front

What is an inequality?

Back

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

Front

What does the inequality x - 2 < 5 mean?

Back

It means that the value of x must be less than 7.

Front

What is the solution to the inequality x - 2 < 5?

Back

x = 6

Front

How do you solve the equation 2(x + 3) = 14?

Back

First, distribute: 2x + 6 = 14. Then, subtract 6 from both sides: 2x = 8. Finally, divide by 2: x = 4.

Front

What is the solution to the equation 4x - 8 = 16?

Back

x = 6

Front

What does the point (-3, 4) represent on the coordinate plane?

Back

Left 3, Up 4

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.