Quiz about ACT/SAT Math Practice #9

Question 1

$$\frac{9.1\ X\ 10^{-7}}{1.3\ X\ 10^3}=?$$

Accepted Answer

$$7.0\ X\ \ 10^{-10}$$

Answer

$$7.0\ X\ 10^{-4}$$

Answer

$$7.0\ X\ 10^4$$

Answer

$$7.8\ X\ 10^{-10}$$

Answer

$$7.8\ X\ 10^{-4}$$

Question 2

John has x red pencils and three times as many red pencils as blue pencils. If he has four more yellow pencils than blue pencils, then in terms of x, how may yellow pencils does John have?

Accepted Answer

$$\frac{x+12}{3}$$

Answer

$$x+4$$

Answer

$$x+7$$

Answer

$$\frac{x}{6}$$

Answer

$$\frac{x+12}{6}$$

Question 3

For all $$x e3,$$ which of the following is equivalent to the expression $$\frac{3x^2-7x-6}{x-3}$$

Accepted Answer

$$3x+2$$

Answer

$$3x-2$$

Answer

$$3\left(x-2\right)$$

Answer

$$3\left(x+2\right)$$

Answer

$$x^2-2$$

Question 4

In my dear Aunt Sally's math class, there are four exams. The first three exam scores are averaged, and the resulting score is averaged with the final exam score. If $$a,\ b,\ and\ c$$ are the first three exam scores, and f is the final exam score, which of the following gives a student's final score in the class?

Accepted Answer

$$\frac{a+b+c+3f}{6}$$

Answer

$$\frac{a+b+c}{3}+f$$

Answer

$$\frac{a+b+c+f}{4}$$

Answer

$$\frac{a+b+c+3f}{4}$$

Answer

$$a+b+c+f$$

Question 5

If $$x-z=6$$ and $$y=3x-2-3z,$$ then y =?

Accepted Answer

16

Answer

2

Answer

4

Answer

14

Answer

18

Question 6

In the equation, $$a=\frac{3}{b,}$$ b is a positive, real number. As the value of b is increased so it becomes closer and closer to infinity, what happens to the value of a?

Accepted Answer

It gets closer and closer to zero

Answer

It remains constant

Answer

It gets closer and closer to one

Answer

It gets closer and closer to three

Answer

It gets closer and closer to infinity

Question 7

In the figure O, N, and M are collinear. If the lengths of ON and NL are the same, the measure of angle LON is 30 and angle LMN is 40, what is the measure of angle NLM?

Accepted Answer

80

Answer

30

Answer

90

Answer

110

Answer

120

Question 8

In the figure, if AB = 27 and CD = 20, and the area of triangle ADC = 240, what is the area of polygon ABCD?

Accepted Answer

564

Answer

420

Answer

480

Answer

540

Answer

1128

Question 9

In the figure, line L is parallel to line M. Line N intersects both L and M, with angles, a,b,c,d,e,f,g and h as shown. Which of the following includes all the angles that are supplementary to angle a?

Accepted Answer

Angles, b, d, f, and h

Answer

Angles c, e, and g

Answer

Angles b, d, and c

Answer

Angles e, f, g, h

Answer

Angles d, c, h, g

Question 10

In the figure, square ABCD is attached to $$\Delta ADE$$ If $$\angle EAD\ =\ 30\ $$ and $$AE\ =\ 4\sqrt[]{3}$$ then what is the area of square ABCD?

Accepted Answer

64

Answer

$$8\sqrt[]{3}$$

Answer

16

Answer

72

Answer

$$64\sqrt[]{2}$$

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