Question

Math 100 POINTS

1. (01.01 LC)


Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression shows the depreciated sales value of the gadget:


2,020 − 22m


What does the coefficient of the expression represent? (1 point)


The number of months Megan will wait to sell the gadget


The monthly depreciation value of the gadget


The amount of money Megan will get when she sells the gadget


The original value of the gadget

2.

(01.02 LC)


Which of the following is the missing reason? (1 point)


Statements

Reasons

five thirds times x plus 2 equals negative 3

Given

5x + 6 = −9

?

5x = −15

Subtraction Property of Equality

x = −15

Division Property of Equality



Addition Property of Equality


Subtraction Property of Equality


Division Property of Equality


Multiplication Property of Equality

3.

(01.02 MC)


Solve the equation 3(2x + 2) = 3x − 15. (1 point)


x = −7


x equals negative seventeen thirds


x = 3


x = 7

4.

(01.03 MC)


A pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 16 minutes. Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination. (1 point)


y equals one fourth times x minus 16


y = 4x − 16


y equals one fourth times x plus 16


y = 4x + 16

5.

(01.05 MC)


A zookeeper is monitoring the population of gazelles. The herd needs to have exactly three times more males than females to thrive. The zoo only has room for a maximum of 12 female gazelles. Let x represent the number of female gazelles and y represent the number of male gazelles. Write the constraints that represent the possible number of male and female gazelles that can live in a thriving population at the zoo. (1 point)


x > 0 and y > 0


0 < x ≤ 12 and 0 < y ≤ 36


0 < x ≤ 12 and y > 36


x > 0 and y < 23

6.

(01.04 LC)


Solve for x: 3x − 2 > 5x + 10. (1 point)


x > 6


x < 6


x < −6


x > −6

7.

(01.04 MC)


An inequality is shown:


−np − 5 ≤ 4(c − 2)


Which of the following solves for n? (1 point)


n ≥ the quantity 4 times c minus 3 all over negative p



n ≥ the quantity 4 times c minus 13 all over negative p



n ≤ the quantity 4 times c minus 3 all over negative p



n ≤ the quantity 4 times c minus 13 all over negative p

Answer 1

The coefficient of the expression, -22, represents the monthly depreciation value of the gadget.

Multiplication Property of Equality is the missing reason.

x = −7

y = 0.25x + 44

0 < x ≤ 12 and y > 3x

x < −6

n ≥ the quantity 4 times c minus 13 all over negative p