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 2c - 12 = 9c + 2?

Back

The first step is to isolate the variable on one side of the equation by moving all terms involving the variable to one side and constant terms to the other.

Front

Solve for c: 2c - 12 = 9c + 2

Back

c = -2.

Front

What is the solution to the equation 2x = x + 3?

Back

x = 3.

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

Use the distributive property to solve: 4(1-x)+3x=-2(x+1)

Back

x = -6.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

Solve for y: 2y + 7 = 11

Back

y = 2.

Front

What is the solution to the equation 5y + 34 = -2(-7y + 1)?

Back

y = 4.