Solving equations

Front

What is an equation?

Back

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

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 first step in solving the equation (3h + 5) 2 = -8?

Back

Distribute the 2 to both terms inside the parentheses: 6h + 10 = -8.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 6p + 10 - 3p = 37?

Back

p = 9.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you apply the distributive property to -10(2m + 1)?

Back

You multiply -10 by both 2m and 1, resulting in -20m - 10.

Front

What is the solution to the equation -10(2m + 1) = -50?

Back

m = 2.

Front

What does it mean to have a negative coefficient in an equation?

Back

A negative coefficient indicates that the variable's contribution to the equation is subtracted.

Front

What is the solution to the equation -9(w - 4) = 54?

Back

w = -2.