Determine which property of equality would be used in order to isolate the variable. Choose the best answer. (2 points)

Addition Property of Equality
Multiplication Property of Equality
Subtraction Property of Equality
Division Property of Equality
2z =12
X - 23= 2
X/10 =2
X+1/2=9

In order to isolate the variable in "2z = 12", the multiplication property of equality would be used.

In order to isolate the variable in "X - 23 = 2", the addition property of equality would be used.
In order to isolate the variable in "X/10 = 2", the multiplication property of equality would be used.
In order to isolate the variable in "X + 1/2 = 9", the subtraction property of equality would be used.

If rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated, how many hours must have passed if there are 5 inches of rain?

Create a linear equation that is a model for the rain that has accumulated. Select the two correct answers. (1 point)
■ 0.5h+15=5
O 1.5 ÷ 0.5h = 5
■ 0.5h+5=1.5
■ 0.5+1.5h=5
0 1.5h ÷ 0.5 =

The correct linear equation models for the rain that has accumulated are:

- 0.5h + 15 = 5
- 1.5 ÷ 0.5h = 5

If rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated, how many hours must have passed if there are 5 inches of rain?

Create a linear equation that is a model for the rain that has accumulated. Select the two correct answers. (1 point)
0.5h + 1.5 = 5
1.5 + 0.5h = 5
0.5h + 5 =1.5
0.5+1.5h=5
1.5h + 0.5 - 5

The correct linear equation models for the rain that has accumulated are:

- 0.5h + 1.5 = 5
- 1.5 + 0.5h = 5

Given the linear equation, 2r + 4 = 6, find the rate, initial value, and specific value. (1 point)

• The rate is 2, the initial value is 6, and the specific value iS x.
• The rate is 4, the initial value is 2, and the specific value is X.
C The rate 15 x, the initial value is 2, and the specific value is 6
• The rate is 2, the initial value is 4, and the specific value is 6.

The correct answer is: The rate is 2, the initial value is 4, and the specific value is 6.

Which of the following equations can be used to model the number of meals someone will eat over a period of time if they eat 3 meals a day.

Select the two correct answers. (1 point)

3t+ 2= 20
3t+ 5-=30
2+ 6t= 8
(2t + 2 =6
4-3t=6

The two correct equations that can be used to model the number of meals someone will eat over a period of time if they eat 3 meals a day are:

- 3t + 2 = 20
- 2 + 6t = 8

Every time Jacob mows his neighbor's lawn he gets 20 dollars. He has 70 dollars in his bank account and needs 190 dollars to buy a used video

game console. Set up an equation, then solve it, to determine how many times he needs to mow his neighbor's lawn to have enough money to
purchase the game console. (1 point)
O He needs to mow the lawn 13 times
© He needs to mow the lawn 4 times
• He needs to mow the lawn 8 times
O He needs to mow the lawn 6 times

To determine how many times Jacob needs to mow his neighbor's lawn to have enough money to purchase the game console, we can set up the equation:

20x + 70 = 190
where x represents the number of times he needs to mow the lawn.

Solving this equation:
20x = 190 - 70
20x = 120
x = 120/20
x = 6

Therefore, Jacob needs to mow the lawn 6 times to have enough money to buy the used video game console.

Determine whether the units are commensurable or incommensurable with grams. (2 points)

Commensurable
Incommensurable
Acres
Hours
Kilometers
Kilograms

- Acres: Incommensurable with grams. Acres measure area, while grams measure mass.

- Hours: Incommensurable with grams. Hours measure time, while grams measure mass.
- Kilometers: Incommensurable with grams. Kilometers measure distance, while grams measure mass.
- Kilograms: Commensurable with grams. Kilograms also measure mass and are in the same unit of measure as grams.

Which of the following units is incommensurable with miles? Select the two correct answers. (1 point)

] grams
© vards
] inches
[ acres
L meters

The two units that are incommensurable with miles are:

- grams: Grams measure mass, while miles measure distance.
- acres: Acres measure area, while miles measure distance.

Therefore, grams and acres are the answers.

What units of measure would be most descriptive for a cell phone manufacturer to use for the depth of its newest phone? (Depth is the vertical height of a phone that is resting on a table on its front or back). (1 point)

O micrometers
O millimeters
O inches
O centimeters

The most descriptive units of measure for the depth of a cell phone would be millimeters or inches. Both millimeters and inches provide a more precise measurement for the depth compared to micrometers or centimeters.

What units of measure would be most descriptive for a cell phone manufacturer to use for the depth of its newest phone? (Depth is the vertical height of a phone that is resting on a table on its front or back). (1 point)

millimeters
inches

The most descriptive units of measure for the depth of a cell phone would be millimeters or inches. Both millimeters and inches provide a precise measurement for the vertical height of the phone.

Which are valid rearrangements of F = §C + 32? Select the two correct answers. (1 point)

9/5 C-F=32
C= 5/9 (F-32)
C= 9/5 (F-32)
F-32= 9/5C
F+ 9/5C+32=0

The two valid rearrangements of F = (5/9)C + 32 are:

- C = (5/9)(F - 32)
- F - 32 = (9/5)C