Basics of Algebra

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 solution to the equation x + 5 = 5?

Back

0

Front

What is the process of isolating a variable in an equation?

Back

Isolating a variable involves rearranging the equation to get the variable on one side and the constants on the other.

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

How do you solve the equation 7x - 3x - 8 = 24?

Back

Combine like terms to get 4x - 8 = 24, then add 8 to both sides to get 4x = 32, and finally divide by 4 to find x = 8.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides to get x ≤ 8.

Front

What does it mean for a solution to be valid in an inequality?

Back

A valid solution in an inequality is a value that satisfies the inequality when substituted back into it.

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 parenthesis.