Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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 3 + (1/4)a = 31?

Back

Subtract 3 from both sides to isolate the term with the variable: (1/4)a = 28.

Front

How do you eliminate a fraction in an equation?

Back

Multiply both sides of the equation by the denominator of the fraction.

Front

What is the solution to the equation 7(1 + 2n) = -105?

Back

n = -8.

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 each term inside a parenthesis.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 4(4 + 4x) = 96?

Back

x = 5.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 4 = 2r - 10?

Back

r = 7.