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 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

Solve: 6(5x - 3) + 2 = 14

Back

x = 1

Front

Combine like terms: 2x - 3 + 4x

Back

6x - 3

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What is the first step in solving the equation 7(2x - 4) = 42?

Back

Distribute the 7 to both terms inside the parentheses: 14x - 28 = 42.

Front

Solve: 2x - 3 + 4x = 27

Back

x = 5

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

Front

What is the formula for the total cost of hiring a mechanic who charges a flat fee and an hourly rate?

Back

y = 65x + 15, where y is the total cost, x is the number of hours, 65 is the hourly rate, and 15 is the flat fee.