Algebra Basics

Question 1

Combining Like Terms: Write the following expression in the simplest form

Accepted Answer

10m -7n + 7

Question 2

Match the following Expression: a/2 - 30

Accepted Answer

A number divided by two minus thirty.

Question 3

Factor the following problem: 6a - 27b

Accepted Answer

3 (2a - 9b)

Question 4

Using the Distributive Property simplify the following expression: -2(x+7)

Accepted Answer

-2x - 14

Question 5

True or False: Constant terms are terms WITHOUT a variable.

Accepted Answer

True

Question 6

Translate the expression: " A number decreased by 7".

Accepted Answer

x - 7

Question 7

True or False: The Distributive Property is the process of multiplying a term to everything within a set of parentheses

Accepted Answer

True

Question 8

Using the Distributive Property simplify the following expression: -4(3x+5)

Accepted Answer

-12x - 20

Question 9

Factor the following problem: 4p - 15

Accepted Answer

Prime

Question 10

Parts of an Expression: What parts does the following expression contain?

Accepted Answer

Variable Terms with Coefficients

Question 11

If we use terms like "increased by", "all together", or "total", we are referring to this operation

Accepted Answer

Addition

Question 12

True or False: Given the problem below, the first thing you would do is to combine your like terms

Accepted Answer

False

Question 13

I ask a student to simplify the expression 7 - 3k + 9k - 25. They answer with 2(3k-8). Are they correct?

Accepted Answer

False

Question 14

Factor the following problem: 3k - 33

Accepted Answer

3 (k - 11)

Question 15

Combining Like Terms: Given the following problem, identify all the terms you CAN combine.

Accepted Answer

-12m + 4m AND -3 + 16

Question 16

True or False: The word "Quotient" refers to the answer of a multiplication problem.

Accepted Answer

False

Question 17

Words like "less than" and "subtracted from" can refer to subtraction, but they are also known as...

Accepted Answer

Turn-around Phrases

Question 18

Combining Like Terms: Write the following expression in the simplest form -6 + 8a - 16

Accepted Answer

8a - 22

Question 19

What are the Coefficients within the following problem

Accepted Answer

-9, +10, -4, and -5

Question 20

Using the Distributive Property simplify the following expression: 3(-2x-2)

Accepted Answer

-6x - 6

Questions 20