Math Placement Guide - Pre-Algebra/Algebra I

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The purpose of this assessment is to help guide families in making the best math placement decision for their child. For accuracy, this assessment is intended to be taken by the child with NO HELP OR CALCULATOR. After a child completes the assessment, the parent/guardian can use the answer key and placement guide to see which class is most appropriate for their child.

***There is an automatic grading system for this form, but it is advised to double-check incorrect answers with the answer key.

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1. Which of these is in the order of least to greatest? *

1 point

2. What is the lowest common denominator of: *

1 point

A) 15

B) 30

C) 45

D) 90

3. What is the absolute value of 16? *

1 point

A) -4

B) 4

C) -16

D) 16

4. Evaluate to the nearest tenth. *

1 point

A) 4.2

B) 5.8

C) 6.7

D) 9.0

5. Evaluate: *

1 point

A) -41

B) -31

C) -23

D) -7

6. Express in scientific notation: 0.0052 *

1 point

7. Simplify: *

1 point

8. Simplify the expression using the distributive property: 5(3x + 7) *

1 point

A) 8x + 12

B) 15x + 7

C) 15x + 12

D) 15x + 35

9. Simplify the expression: *

1 point

10. Which inequality represents the graph? *

1 point

A) m < 60

B) m > 60

C) m ≤ 60

D) m ≥ 60

11. Evaluate the expression if a = 2, b = 3, and c = 8. *

1 point

A) 18

B) 27

C) 30

D) 67

12. Evaluate the expression if x = -2.4, y = -0.35, and z = -11.2 *

1 point

A) 8.45

B) -10.36

C) -12.04

D) 19.6

13. Evaluate the expression: *

1 point

A) 1/5

B) 3

C) 5

D) 45

14. Convert 0.00456 meters to millimeters *

1 point

A) 0.456 mm

B) 4.56 mm

C) 45.6 mm

D) 456 mm

15. The difference of a number n and the number 6 is 42. What is the value of n? *

1 point

A) -36

B) 7

C) 36

D) 48

16. Solve the equation for x. *

1 point

A) -17

B) -3

C) 3

D) 17

17. Solve the equation for x. *

1 point

A) -5

B) 5

C) 6

D) 14

18. Solve the equation for x. *

1 point

19. Which of these equations represents the table of values? *

1 point

A) y = x + 1

B) y = x + 5

C) y = 5x

D) y = 5x + 1

20. Simply the expression by combining like terms: *

1 point

21. Mrs. Nichols used 3 cups of flour to make 60 cookies. Which proportion would help her find how many cups of flour she needs to make 90 cookies? *

1 point

D) None of the Above

22. The pair of figures is similar. Find the missing side length. *

1 point

A) x = 2

B) x = 3

C) x = 5

D) x = 7

23. If 9 is P percent of 17, then P is a number between: *

1 point

A) 0 and 20

B) 20 and 40

C) 40 and 60

D) 60 and 80

24. The price of a jacket was increased from $140 to $168. What was the percent increase in the price of the jacket? *

1 point

A) 10%

B) 17%

C) 20%

D) 28%

25. In the right triangle ABC shown below, what is the length of side AC? *

1 point

A) 10

B) 13

C) 14

D) 17

26. What are the coordinates of point Q of rectangle PQRS shown in the figure below? *

1 point

A) (-1, 7)

B) (-1, 3)

C) (3, -1)

D) (7, -1)

27. What is the volume, in cubic meters, of a circular cylinder with a diameter of 6 meters and a height of 12 meters? *

1 point

A) 18π

B) 36π

C) 72π

D) 108π

28. Which of these equations has an infinite number of solutions? *

1 point

A) 6x + 3 = 3(2x + 1)

B) 3x + 9 = 4x + 4

C) x + 7 = x + 9

D) 2x + 5x + 3 = 11 - x

29. Which of the following is non-linear? *

1 point

30. What is the average (arithmetic mean) of 34, 43, 17 and 67? *

1 point

A) 40.25

B) 42.5

C) 58

D) 80.5

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