December 2024 Algebra Semester Test 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

Use the distributive property to simplify: 5(2f + 4)

Back

10f + 20

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

Solve for x: -5(y - 1) = -3(y - 2) - 9

Back

x = 4

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

Combine like terms: (6x + 4 - 3x^2) + (7x^2 + 5 + 8x)

Back

4x^2 + 14x + 9

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

Solve the inequality: -6(n + 2) < -84

Back

n > 12

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation.