Equation and Inequality Review

Front

What is the distributive property?

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

Solve the equation: -(3d + 5) = 16

Back

d = -7

Front

Simplify: -3(2c - 5)

Back

-6c + 15

Front

What is the solution to the equation 3(2x - 5) + x = 10?

Back

x = 5

Front

Solve the inequality: n - 3(2n + 4) + 17 > 0

Back

n < 1

Front

Simplify: 2(4 + 9w)

Back

8 + 18w

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 an inequality?

Back

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

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

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 it can be written in the form ax + b = c.