Keystone National High School Placement Exam Math Level I - K12

嚜熾eystone National High School Placement Exam

Math Level I

1.

2.

Find the seventh term in the following

sequence: 2, 6, 18, 54 ＃

Write a numerical expression for the

verbal phrase.

※sixteen minus the quotient of twelve

and six§

a)

b)

c)

d)

162

1458

108

486

a)

b)

c)

d)

16 每 6 ‾ 12

12 ‾ 6 每 16

16 ‾ 12 每 6

16 每 12 ‾ 6

3.

4.

Evaluate the expression:

6a + 2b 每 6c + 4, if a=3, b=5 and c= -1.

Rewrite the expression (6 ? c) ? 12

using the Associative Property.

a)

b)

c)

d)

38

26

34

22

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Keystone National High School Placement Exam

Math Level I

5.

6.

Simplify the following using proper

order of operations:

Put the following integers in order from

greatest to least:

5 (16 + 3) ? 6 ℅ 2 + 1

a)

b)

c)

d)

-3, 12, 9, -8, 13

179

84

155

267

7.

8.

Evaluate the following expression:

Simplify the following expression:

6(3x) 每 2y + 3z + 12(4x) 每 9y

| -4 | + | 12 | - | -9 |

a)

b)

c)

d)

-17

25

1

7

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a)

b)

c)

d)

66x 每 11y + 3z

30x + 11y + 3z

25x 每 11y + 3z

cannot be simplified

Keystone National High School Placement Exam

Math Level I

9.

10.

In which quadrant would the point

(9, -10) be located?

Simplify the following:

3( x + 1 ) 每 4( 2x 每 5 ) + 10x

a)

b)

c)

d)

a)

b)

c)

d)

Quadrant 1

Quadrant 2

Quadrant 3

Quadrant 4

5x 每 32

21x + 23

5x + 23

5x 每 17

11.

12.

Write and solve the equation to find the

value of x.

Write and solve the equation to find the

value of x.

※The difference of a number x and ten

is negative four.§

※The quotient of negative sixty and a

number x is four.§

a)

b)

c)

d)

a)

b)

c)

d)

x + 10 = -4;

x 每 10 = -4;

x 每 10 = -4;

x + 10 = -4;

x=5

x=6

x = -6

x = -5

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-60 * x = 4;

-60 / x = 4;

-60 * x = 4;

-60 / x = 4;

x = 15

x = -15

x = -15

x = 15

Keystone National High School Placement Exam

Math Level I

14.

13.

Translate the following sentence into an Find the perimeter of a rectangle with a

width of (2x + 3) and a length of 2x.

equation. Then, find its solution.

※If six is decreased by four times a

number n, the result is twelve.§

15.

16.

Simplify the following:

Write the expression using exponents.

Then solve using x=2 and y= -5.

x4 ? x3 ? x

2 2 y y y x x

a)

b)

c)

d)

x12

x7

x13

x8

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a)

b)

c)

d)

22x2y3;

22x3y2;

23x2y2;

22x2y3;

-2000

2000

800

2000

Keystone National High School Placement Exam

Math Level I

17.

18.

Find the GCF of the following set of

numbers:

Which of the following numbers is

divisible by 3 and 9?

260, 80, 50

a)

b)

c)

d)

a)

b)

c)

d)

10

5

2

15

231

729

691

654

19.

20.

Write the following using negative

exponents:

Write the following number in scientific

notation:

1

----x5

Page 5 of 15

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.00098

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