Solving Equations

Front

What is the distributive property in algebra?

Back

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

Front

Simplify: 5(3x + 1)

Back

15x + 5

Front

What is the solution to the equation 27 = 5r + 2?

Back

5

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

What is the solution to the equation k - 10 = 7?

Back

17

Front

Combine like terms: y + x + y + y + x

Back

2x + 3y

Front

What does it mean for x = 2 to be a solution of an equation?

Back

It means that when you substitute 2 for x in the equation, both sides of the equation will be equal.

Front

Which equation has x = 2 as a solution? 3 + x = 10, 11 + x = 13, 4x = 32, 5x = 25

Back

11 + x = 13

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 is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations.