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