SAT2-MATHEMATICS Real Exam Questions and Verified Answers

Question 1 Single choice

What two values are not in the domain of

A
-3, 12
B
3, -12
C
-6, 6
D
-6, 36
E
9, 36

Show answer and explanation

Correct answer: A

Question 2 Single choice

In a restaurant, the ratio of four-person booths to two-person booths is 3:5.
If 154 people can be seated in the restaurant, how many two-person booths are in the restaurant?

A
14
B
21
C
35
D
57
E
70

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Correct answer: C

Explanation

Let 3x equal the number of four-person booths and let 5x equal the number of two-person booths. Each four-person booth holds four people and each two-person booth holds two people. Therefore,

There are (7)(3) = 21 four-person booths and (7)(5) = 35 two person booths.

Question 3 Single choice

In the diagram above, ABDE is a square and BCD is an equilateral triangle.
If cm, what is the perimeter of ABCDE?

A
Option A
B
Option B
C
Option C
D
Option D
E
Option E

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Correct answer: C

Explanation

Since BCD is an equilateral triangle, angles CBD, BDC, and BCD all measure 60 degrees. FCD and BCF are both 30-60-90 right triangles that are congruent to each other. The side opposite the 60-degree angle of triangle BCF, side FC, is equal to times the length of the side opposite the 30-degree angle, side BF.
Therefore, BF is equal to = 6 cm. The hypotenuse, BC, is equal to twice the length of side BF. The length of BC is 2(6) = 12 cm. Since BC= 12 cm, CD and BD are also 12 cm. BD is one side of square ABDE;
therefore, each side of ABDE is equal to 12 cm. The perimeter of ABCDE = 12 cm + 12 cm + 12 cm + 12 cm + 12 cm = 60 cm.

Question 4 Single choice

In the diagram above, if line AB is parallel to line CD, and line EF is perpendicular to lines AB and CD, all of the following are true EXCEPT

A
Option A
B
Option B
C
Option C
D
Option D
E
Option E

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Correct answer: E

Explanation

Since AB and CD are parallel lines cut by a transversal, angle f is equal to the sum of angles c and b.
However, angle f and angle g are not equal -- they are supplementary. Therefore, the sum of angles c and b is also supplementary -- and not equal -- tog.

Question 5 Single choice

If 40% of j is equal to 50% of k, then j is

A
10% larger than k.
B
15% larger than k.
C
20% larger than k.
D
25% larger than k.
E
80% larger than k.

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Correct answer: D

Explanation

40% of j= 0.4j, 50% of k = 0.5k. If 0.4j= 0.5k, = 1.25kis equal to 125% of k, which means that j is 25% larger thank.

Question 6 Single choice

What is the slope of the line -3y = 12x - 3?

A
-4
B
-3
C
1
D
4
E
12

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Correct answer: A

Explanation

First, convert the equation to slope-intercept for m:y= m x+b Divide both sides of the equation by -3:

The slope of a line written in this form is equal to the coefficient of the x term. The coefficient of the term is -4, so the slope of the line is -4

Question 7 Lab simulation

Simulation

There are seven students on the trivia team. Mr. Randall must choose four students to participate in the trivia challenge. How many different groups of four students can Mr.
Randall form?

A. 35

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The order of the four students chosen does not matter. This is a "seven-choose-four" combination problem
-- be sure to divide to avoid counting duplicates:

.

There are 35 different groups of four students that Mr. Randall could form.

Question 8 Single choice

Eggs Found in a Hunt Over Time

The scatter plot above shows how many eggs were found in a hunt over time.

Which of the labeled points represents a number of eggs found that is greater than the number of minutes that has elapsed?

A
A
B
B
C
C
D
D
E
E

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Correct answer: E

Explanation

The point that represents a number of eggs found that is greater than the number of minutes that has elapsed is the point that has a y value that is greater than its x value. Only point E lies farther from the horizontal axis than it lies from the vertical axis. At point E, more eggs have been found than the number of minutes that has elapsed.

Question 9 Single choice

If set M contains only the positive factors of 8 and set N contains only the positive factors of 16, then the union of sets M and N

A
contains exactly the same elements that are in set N.
B
contains only the elements that are in both sets M and N.
C
contains nine elements.
D
contains four elements.
E
contains only even elements.

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Correct answer: A

Explanation

Set M contains the positive factors of 8: 1, 2, 4, and 8. Set N contains the positive factors of 16: 1, 2, 4, 8, and 16. The union of these sets is equal to all of the elements that are in either set. Since every element in set M is in set N, the union of N and M is the same as set N: {1, 2, 4, 8, 16}.

Question 10 Single choice

If , then when a = 8, b could be equal to

A
-2
B
4
C
6
D
7
E
8

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Correct answer: C

Explanation

Substitute 8 for Rewrite 1 as 8/8 and add it to 4b/8 then cross multiply: