AnswersDRHS-GA-Algebra Concepts and Connections AUnit Test

Unit Test — Unit test Answers

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A coordinate plane with a line passing through (0, negative 5) and (3, 0).

Question illustration
A
3x + y = –5
B
x + 3y = –5
C
3x – 5y = –15
D
5x – 3y = 15
22
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Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Question illustration
A
y – 6 = 2(x – 10)
B
y – 2 = (x – 10)
Option B
C
y – 3 = (x – 2)
Option C
D
y – 3 = 2(x – 10)
23

Which of these values could be the slope of the line? Select two options.

A
–2
B
Option
Option B
C
0
D
Option
Option D
E
3
24

A coordinate plane from negative 8 to 8 along the x-axis and from negative 7 to 7 along the y-axis.

Question illustration
A
1. Plot the point (2, 4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
B
1. Plot the point (2, 4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.
C
1. Plot the point (–2,4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
D
1. Plot the point (–2,4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.
25

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of ?

Question illustration
A
y + 2 =(x + 3)
Option A
B
y – 2 = (x – 3)
Option B
C
y + 3 = (x + 2)
Option C
D
y – 3 = (x – 2)
Option D
26

Four cups of a salad blend containing 40% spinach is mixed with an unknown amount of a salad blend containing 55% spinach. The resulting salad contains 50% spinach.How many cups of salad are in the resulting mixture?

A
8
B
9
C
12
D
13
27

Lea and Marie are washing all the windows in their house. It would take Lea 80 minutes to wash the windows by herself, and it would take Marie 60 minutes to wash them by herself. Lea creates a table so she can find out how long it will take to wash the windows if they work together. What is the missing value in the table that represents the rate for Marie?

Question illustration
A
StartFraction 1 Over 60 EndFraction t
Option A
B
60
C
t
Option C
D
60t
28

Four ounces of oregano and 2 ounces of garlic powder are mixed to create a poultry seasoning. Oregano costs $4 per ounce and garlic powder costs $3 per ounce. The table shows the costs of the ingredients.

Question illustration
A
2
B
3
C
4
D
6
29

Working together, Rocco and Giulia can paint a room in 3 hours. It would have taken Rocco 7 hours to do the job alone. Which equation can be used to determine r, Giulia’s rate of work in parts per hour?

Question illustration
A
+ 3r = 7
Option A
B
+ 3r = 1
Option B
C
= r
Option C
D
= 3r
Option D
30

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

Question illustration
A
4.9
Option A
B
9.8
Option B
C
10.2
Option C
D
19.6
Option D
31

Which graph represents a function with direct variation?

A
Option
B
Option
C
Option
D
Option
32

Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80.

Question illustration
A
30 – g + g
B
3(30 – g)
C
30 – g(3)
D
30 – g + 3
33

Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the number of nickels in the collection?

A
0.1n + 0.05(n – 175) = 13.30
B
0.1n + 0.05(175 – n) = 13.30
C
0.1(n – 175) + 0.05 = 13.30
D
0.1(175 – n) + 0.05n = 13.30

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