Equations & Inequalities Study Guide

Front

What is an equation?

Back

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

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, or not equal to the other.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is alone on one side, making it easier to find its value.

Front

What is the solution to the equation 12 + m = 35?

Back

m = 23.

Front

If 7 bags of candy cost $58.31, what equation represents the cost per bag?

Back

7c = 58.31.

Front

What is the value of x in the equation x - 55 = 248?

Back

x = 303.

Front

How do you find the cost per goldfish if 6 goldfish cost $25.38?

Back

Use the equation 6g = 25.38 to find g.

Front

What equation can be used to find how many flashlights Sally has left after giving some away?

Back

11 = x + 5.

Front

What is the first step in solving the equation 7c = 58.31?

Back

Divide both sides by 7 to find the value of c.