Math Chapter 2

Question 1

Give an example of the Distributive Property in Action

Answer 1

a(b+c) = ab +bc
(b+c)a = ba+ca
a(a-b) = ab-ac

2-2

Question 2

Use distributive method to multiply

7(t-5)

Answer 2

7t-35

2-2

Question 3

Use distributive method to multiply

(b+5)4

Answer 3

4b+20

2-2

Question 4

Name the property shown

m[t+(-t)] = mt + m(-t)

Answer 4

Distributive Property

2-3

Question 5

Name the property shown

mx = xm

Answer 5

Communitive Property

2-3

Question 6

Name the coeffecents, like terms and constants

3x + 5y - 3

Answer 6

coeffecents: 3 & 5
like terms: none
constants: -3

2-4

Question 7

Name the coeffecents, like terms and constants

4x - 7x + 3x

Answer 7

coeffecents: 7, 4 & 3
like terms: 4x, 7x & 3x
constants: none

2-4

Question 8

What is the definition of a “like term”

Answer 8

terms that have identical variables like 3x, 5x, and -4x

2-4

Question 9

What is the definition of a coeffecent?

Answer 9

A number that multiplies a variable like 7 in 7x or 7y

2-4

Question 10

Which of the following is an “open sentance” and why?

a. 6 + 12 = 23
b. 3 x 4 = 12
c . 6y = 19

Answer 10

C. It has a variable and can’t be said to be true or false.

2-4

Question 11

Is the following true, false or open sentance?

4 + d = 6; 2

Answer 11

True
4 + 2 does equal 6

2-4

Question 12

Solve for e

e + (-43) = -45

Answer 12

e = -2

2-5

Question 13

Solve for m

m/4 = 13

Answer 13

52

2-6

Question 14

-45 = 9a

Answer 14

-5

2-6

Question 15

graph the inequality on a number line

x < 7

Answer 15

open cirle on 7, going left

2-8

Question 16

graph the inequality on a number line

x > -9

Answer 16

closed circle on -9, going right

2-8

Question 17

Solve and graph the inequality on a number line

n-12 <= 3

Answer 17

Closed circle on 15, going left

2-9

Question 18

Solve and graph the inequality on a number line

y/4 > 3

Answer 18

Open cirecle on 12 going right

2-10