Question 1

The average of 7 numbers is 24. The smallest of the numbers is 2 and the largest of the numbers is 31. What is the average of the middle 5 numbers?

Accepted Answer

27

Answer

26

Answer

28

Answer

25

Question 2

Two side lengths of a triangle are 5 and 6, which of the following CANNOT be the length of the third side?

Accepted Answer

12

Answer

6

Answer

3

Answer

9

Question 3

Eric wishes to shift the graph of the function ƒ(x) = x² four places to the right and six places down from the origin (0,0). Which equation represents this translation?

Accepted Answer

ƒ(x) = (x − 4)2 − 6

Answer

ƒ(x) = x – 42 + 6

Answer

ƒ(x) = (x2 − 4)2 − 6

Answer

ƒ(x) = x + 42 – 6

Question 4

What is the slope intercept form of (13x − 5x) + 12 − 2y = 6?

Accepted Answer

y = 4x + 3

Answer

y = 3x – 9

Answer

y = -2x + 5

Answer

y = 6x + 2

Question 5

The coordinates (−3, 5) and (3, 5) designate the diameter of a circle, what is its circumference?

Accepted Answer

6π

Answer

2π

Answer

8π

Answer

4π

Question 6

What is the solution set of  | 2(x – 1) – 15 | = 7?

Accepted Answer

{ 5,12 }

Answer

{ 5 }

Answer

{ -5,12 }

Answer

{ 12 }

Question 7

A and B are reciprocals (when multiplied together their product is 1). If A < −1, then B must be which of the following?

Accepted Answer

-1 < B < 0

Answer

B < -1

Answer

0 < B < 1

Answer

B < 0

Question 8

Which of these is true for all real numbers x and y such that x > 0 and y < 0?

Accepted Answer

x$^2$ + y$^2$ > 0

Answer

xy > 0

Answer

x + y > 0

Answer

x – y < 0

Question 9

At what point on the Cartesian plane do the following two lines intersect?
y/3 – 7/3 = x and y/3 + 4/3 = x

Accepted Answer

The lines do not intersect.

Answer

(6, 2)

Answer

(4, 3)

Answer

(5, -2)

Question 10

The slope of the line represented by the equation 2(x − 3) − 6y = 10 is equal to what?

Accepted Answer

1/3

Answer

1/2

Answer

– 1/2

Answer

2

Question 11

Jenny’s house is 2 km away from her school. One day when going to school, Jenny runs for 20 minutes and arrived 5 minutes late. How many minutes earlier would Jenny be if she would use her bicycle at a rate of one-third kilometer per minute?

Accepted Answer

9 minutes

Answer

6 minutes

Answer

5 minutes

Answer

8 minutes

Question 12

The chart below shows the monthly profits of 3 companies. What is the total profit generated by Store X and Store Z in the month of March?

Accepted Answer

180,000

Answer

120,000

Answer

200,000

Answer

140,000

Question 13

Which of the following statements is true?

Accepted Answer

Some rhombuses are rectangles.

Answer

The diagonals of a rhombus are congruent.

Answer

All rectangles are rhombuses

Answer

All rectangles are similar

Question 14

In order for the two triangles shown to be similar, what is one possible value for x?

Accepted Answer

16 in.

Answer

20 in.

Answer

8 in.

Answer

10 in

Question 15

Which coordinates satisfy the inequality: y+ 3 > −3(x − 2)

Accepted Answer

(-3, 15)

Answer

(2, -2)

Answer

(0,2)

Answer

(1,0)

Question 16

If h(x) = 3x + 4, what is h(2x − 3)?

Accepted Answer

6X – 5

Answer

-6X + 5

Answer

5X + 2

Answer

5X – 2

Question 17

If -1 < a < b < 0, then which of the following has the greatest value?

Accepted Answer

b – a

Answer

a + b

Answer

a – b

Answer

2b – a

Question 18

In the figure below, what is the length of altitude y?

Accepted Answer

8 cm.

Answer

10 cm.

Answer

7 cm

Answer

9 cm

Question 19

Which of the following sets of interior angle measures would describe an acute isosceles triangle?

Accepted Answer

60°, 60°, 60°

Answer

80°, 60°, 60°

Answer

60°, 50°, 50°

Answer

90°, 45°, 45°

Question 20

Which trigonometric function can equal or be greater than 1.000?

Accepted Answer

Tangent

Answer

Cosine

Answer

none of the above

Answer

Sine

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