Multi-Subject: Teachers of Childhood (Grade 1-Grade 6) Part Two: Mathematics Practice Quiz

Please complete questions 1-20. You may need to use the Definitions and Formulas for Multi-Subject: Teachers of Childhood
(Grade 1–Grade 6) Part Two: Mathematics to answer some of the questions. You may wish to save a copy of the quiz as a web page in order to be able to review after scoring. Once you have completed all of the questions, click on "SCORE" to grade your practice quiz and find links to additional resources.

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A landscaper is designing a patio with gray and white stones. A diagram of the design is shown below.

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* 1. Which equation can be used to find the total area, in square feet, of the patio?

(8 X 7) + (8 X 3) = total area

(8 + 7) X (8 + 3) = total area

(10 X 7) + (10 X 3) = total area

(10 + 7) X (10 + 3) = total area

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* 2. A student uses instant lemonade mix to make 7 pitchers of lemonade for a school function. The student uses 2/8 cups of mix for each pitcher. What is the total amount of mix that the student uses?

2/56 cups

14/56 cups

9/8 cups

14/8 cups

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* 3. Which expression is equivalent to 32?

(30 + 6) / 3

2 X (9 + 7)

9 X (3 + 5)

6 + 2 X 4

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The graph of a system of linear equations is shown below.

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* 4. Which ordered pair is the best estimate for the solution of this system of linear equations?

(-6, -2)

(-3, 2)

(4, -4)

(6, 8)

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* 5. Which expression represents a factorization of 32m + 56mp?

8(4m + 7p)

8(4 +7)mp

8p(4 + 7m)

8m(4 + 7p)

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* 6. The mean radius of Earth is 6,371.0 kilometers and the mean radius of Earth's Moon is 1,737.5 kilometers. What is the approximate difference between the mean circumferences, in kilometers, of the Earth and Earth's Moon?

40, 030.2

29,113.1

14,556.6

10,917.0

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* 7. A sales associate at an electronics store has the choice of two salary options shown below.

$115 per week plus 9.5% commission on the sales associate's total sales

$450 per week with no commissions

The average total sales for a sales associate last year was $125,000. Based on lasts years average, what is the difference between the two salary options?

$4,262.11

$5,545.00

$10,956.90

$11,525.00

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An expression and four possible values for that expression are shown below.

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* 8. What is the best value for the expression?

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* 9. An athlete's workout consists of 10 minutes of warm-up exercises, 25 minutes of lifting weights, and 15 minutes of running on the treadmill. What is the ratio of the number of minutes that the athlete lifts weights to the to the total number of minutes in the workout?

1 : 1

1 : 2

3 : 10

5 : 8

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The graph below shows the relationship between the number of people in a group and the total cost of the tickets for admission to a sporting event.

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* 10. Which point on the graph represents the unit rate?

(0, 0)

(1, 15)

(15, 1)

(8, 120)

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A cereal company randomly puts one colored prize ring in each box of cereal. There are 6 different colored rings. The colors of the rings in each of 50 cereal boxes are shown in the table below.

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* 11. Based on the data, what is the probability that the next cereal box will contain a blue or a yellow ring?

1/6

2/5

3/5

2/3

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* 12. In a shipment of new books for a library, 5/12 of the books were poetry and 2/5 were biographies. The remainder of the books in the shipment were mysteries. What fraction of the books in the shipment were mysteries?

2/12

7/17

11/60

49/60

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A parallelogram and four expressions are shown below.

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* 13. Which expression could be used to find the area of the parallelogram?

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A student uses 1 cubic inch blocks to make the right rectangular prism shown below.

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* 14. The student then makes a smaller right rectangular prism by using 1/4 of the blocks. What is the volume, in cubic inches, of the smaller right rectangular prism?

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Four exponential expressions are shown below.

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* 15. Which exponential expression is equal to 2^-5 X 2⁸?

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The speed of light in a vacuum is 299,792,458 meters per second. A question on a quiz asks students to write the best approximation of the speed of light, in scientific notation. Four students' answers are shown below.

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* 16. Which answer is the best approximation of the speed of light, written in scientific notation?

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The height of a rocket, at selected times, is shown in the table below.

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* 17. Based on these data, which statement is not a valid conclusion?

The rocket was launched from a height of 180 feet.

The maximum height of the rocket occurred 3 seconds after launch.

The rocket was in the air for approximately 6 seconds before hitting the ground.

The rocket was above 300 feet for approximately 2 seconds.

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Four possible functions are shown below.

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* 18. Which function is the vertex form of f(x) = 3x² + 12x + 11?

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Four functions are shown below.

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* 19. As x increases beyond 25, which function will have the largest value?

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A student is testing values that would make KLM a right triangle when line segment LN is an altitude and KM = 16, as shown below.

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* 20. Which lengths would make triangle KLM a right triangle?

LM = 13 and KN = 6

LM = 12 and NM = 9

KL = 11 and KN = 7

LN = 8 and NM = 10

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A landscaper is designing a patio with gray and white stones. A diagram of the design is shown below.

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* 1. Which equation can be used to find the total area, in square feet, of the patio?

Question Title

* 2. A student uses instant lemonade mix to make 7 pitchers of lemonade for a school function. The student uses 2/8 cups of mix for each pitcher. What is the total amount of mix that the student uses?

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* 3. Which expression is equivalent to 32?

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The graph of a system of linear equations is shown below.

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* 4. Which ordered pair is the best estimate for the solution of this system of linear equations?

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* 5. Which expression represents a factorization of 32m + 56mp?

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* 6. The mean radius of Earth is 6,371.0 kilometers and the mean radius of Earth's Moon is 1,737.5 kilometers. What is the approximate difference between the mean circumferences, in kilometers, of the Earth and Earth's Moon?

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An expression and four possible values for that expression are shown below.

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* 8. What is the best value for the expression?

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* 9. An athlete's workout consists of 10 minutes of warm-up exercises, 25 minutes of lifting weights, and 15 minutes of running on the treadmill. What is the ratio of the number of minutes that the athlete lifts weights to the to the total number of minutes in the workout?

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The graph below shows the relationship between the number of people in a group and the total cost of the tickets for admission to a sporting event.

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* 10. Which point on the graph represents the unit rate?

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A cereal company randomly puts one colored prize ring in each box of cereal. There are 6 different colored rings. The colors of the rings in each of 50 cereal boxes are shown in the table below.

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* 11. Based on the data, what is the probability that the next cereal box will contain a blue or a yellow ring?

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* 12. In a shipment of new books for a library, 5/12 of the books were poetry and 2/5 were biographies. The remainder of the books in the shipment were mysteries. What fraction of the books in the shipment were mysteries?

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A parallelogram and four expressions are shown below.

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* 13. Which expression could be used to find the area of the parallelogram?

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A student uses 1 cubic inch blocks to make the right rectangular prism shown below.

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* 14. The student then makes a smaller right rectangular prism by using 1/4 of the blocks. What is the volume, in cubic inches, of the smaller right rectangular prism?

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Four exponential expressions are shown below.

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* 15. Which exponential expression is equal to 2-5 X 28?

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The speed of light in a vacuum is 299,792,458 meters per second. A question on a quiz asks students to write the best approximation of the speed of light, in scientific notation. Four students' answers are shown below.

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* 16. Which answer is the best approximation of the speed of light, written in scientific notation?

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The height of a rocket, at selected times, is shown in the table below.

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* 17. Based on these data, which statement is not a valid conclusion?

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Four possible functions are shown below.

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* 18. Which function is the vertex form of f(x) = 3x2 + 12x + 11?

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Four functions are shown below.

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* 19. As x increases beyond 25, which function will have the largest value?

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A student is testing values that would make KLM a right triangle when line segment LN is an altitude and KM = 16, as shown below.

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* 20. Which lengths would make triangle KLM a right triangle?

* 15. Which exponential expression is equal to 2^-5 X 2⁸?

* 18. Which function is the vertex form of f(x) = 3x² + 12x + 11?