Algebra 1st Semester Study Guide

Front

What does 'subtracted from' and 'less than' mean in algebra?

Back

These terms indicate that you need to 'turn' or 'flip' the terms around when writing an equation.

Front

Give an example of an integer.

Back

-9 is an example of an integer.

Front

Back

Multiply both sides by 4, then add 7 to both sides.

Front

Translate '8 less than the product of 4 and a number' into an algebraic expression using m.

Back

Front

Back

x = -13.

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but not a fraction or decimal.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a by each term inside the parentheses.

Front

How do you combine like terms in an expression?

Back

You add or subtract the coefficients of terms that have the same variable raised to the same power.