Equations and Inequalities Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the solution to the inequality: x + 5 < 10?

Back

x < 5

Front

How do you graph the inequality x > 3?

Back

Draw a number line, place an open circle at 3, and shade to the right.

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.

Front

Convert the equation 8x + 4y = 16 to slope-intercept form.

Back

y = -2x + 4

Front

What is the greatest integer solution for the inequality 0.20x + 5 ≤ 12?

Back

x ≤ 35

Front

What does the graph of x ≤ -2 look like?

Back

A number line with a closed circle at -2 and shading to the left.