Algebra 2 and Trigonometry

Ann Xavier Gantert

Chapter 1 THE INTEGERS - all with Video Answers

Educators

Section 1

Whole Numbers, Integers, and the Number Line

00:34

Problem 1

Tina is three years old and knows how to count. Explain how you would show Tina that $3+2=5 .$

Aditya S.

Numerade Educator

01:27

Problem 2

Greg said that $|a-b|=|b-a| .$ Do you agree with Greg? Explain why or why not.

Yuanchun Y.

Numerade Educator

00:31

Problem 3

Find the value of each given expression.
$|6|$

Aditya S.

Numerade Educator

00:49

Problem 4

Find the value of each given expression.
$|-12|$

Yuanchun Y.

Numerade Educator

00:44

Problem 5

Find the value of each given expression.
$|8-3|$

Aditya S.

Numerade Educator

00:54

Problem 6

Find the value of each given expression.
$|3-8|$

Yuanchun Y.

Numerade Educator

00:41

Problem 7

Find the value of each given expression.
$|5+(-12)|$

Aditya S.

Numerade Educator

01:13

Problem 8

Find the value of each given expression.
$|-12+(-(-5))|$

Yuanchun Y.

Numerade Educator

01:10

Problem 9

Find the value of each given expression.
$|4-6+(-2)|$

Rithvik M.

Numerade Educator

00:44

Problem 10

Find the value of each given expression.
$|8+(10-18)|$

Yuanchun Y.

Numerade Educator

00:26

Problem 11

Find the value of each given expression.
$|3|-|3|$

Aditya S.

Numerade Educator

01:02

Problem 12

Find the value of each given expression.
$|8|-|-2|-|2|$

Yuanchun Y.

Numerade Educator

00:52

Problem 13

Find the value of each given expression.
$-(|-2|+|3|)$

Aditya S.

Numerade Educator

01:05

Problem 14

Find the value of each given expression.
$|4-3|+|-1|$

Yuanchun Y.

Numerade Educator

00:55

Problem 15

Use the definition of subtraction to write each subtraction as a sum.
$8-5=3$

Aditya S.

Numerade Educator

00:44

Problem 16

Use the definition of subtraction to write each subtraction as a sum.
$7-(-2)=9$

Yuanchun Y.

Numerade Educator

00:38

Problem 17

Use the definition of subtraction to write each subtraction as a sum.
$-2-5=-7$

Aditya S.

Numerade Educator

01:21

Problem 18

Use the definition of subtraction to write each subtraction as a sum.
$-8-(-5)=-3$

Yuanchun Y.

Numerade Educator

01:38

Problem 19

Two distinct points on the number line represent the numbers $a$ and $b$ . If $|5-a|=|5-b|=6,$ what are the values of $a$ and $b ?$

Aditya S.

Numerade Educator

00:51

Mrs. Menendez uses computer software to record her checking account balance. Each time that she makes an entry, the amount that she enters is added to her balance.
If she writes a check for $\$ 20,$ how should she enter this amount?

Yuanchun Y.

Numerade Educator

00:54

Problem 21

Mrs. Menendez uses computer software to record her checking account balance. Each time that she makes an entry, the amount that she enters is added to her balance.
Mrs. Menendez had a balance of $\$ 52$ in her checking account and wrote a check for $\$ 75 .$
a. How should she enter the $\$ 75 ?$
b. How should her new balance be recorded?

Aditya S.

Numerade Educator

01:08

Problem 22

Mrs. Menendez uses computer software to record her checking account balance. Each time that she makes an entry, the amount that she enters is added to her balance.
After writing the $\$ 75$ check, Mrs. Menendez realized that she would be overdrawn when the check was paid by the bank so she transferred $\$ 100$ from her savings account to her checking account. How should the $\$ 100$ be entered in her computer program?

Yuanchun Y.

Numerade Educator