1st Semester Algebra I Final Study Guide

Front

Translate this phrase into an algebraic expression: The difference of 3 times a number and 7. Use the variable n to represent the unknown number.

Back

3n - 7

Front

Solve for z: z + 5 = 8

Back

z = 3

Front

Solve the equation: 3x - x + 4 = 4(2x +1)

Back

x = 0

Front

Evaluate h(x) = 2(x-5), if given h(3)

Back

h(3) = -4

Front

Solve for the variable a: 4(a + 3) = -32

Back

a = -11

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols.

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 distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression does not include an equality sign.