QUESTION: 113

How many different combinations of shirts and ties are possible if you have 4 shirts and 5 ties?

Answer(s): D

Explanation:

With each of the 4 shirts you can wear one of the 5 ties, so the total number of combinations is 4 × 5 = 20

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QUESTION: 114

What is the value of (+2)( −5x + 3)( −3)?

+90
+60
−13
−3

Answer(s): A

Explanation:

To find the product of more than two numbers, work on only two numbers at a time. If both of these numbers have plus signs (+), their product has a plus sign, to both have minus signs (−), their product has a plus (not a minus) sign. Bui if their signs are different, the product has a minus sign.
(+2) (−5) (+3) (−3)
= (−10) (+3) (−3)
= (−30) (−3)
= +90

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QUESTION: 115

Solve for x:
x2 = 3x + 10.

x = 3; x = 10
x = −3; x = −10
x = −2; x = 5
x = 2; x = −5

Answer(s): C

Explanation:

To solve the equation x2 = 3x + 10, turn it into an equation equal to 0, find the two factors of the new equation, and then set each factor equal to 0, to solve for x.
Step 1: Move all expressions to one side of the equal sign. Change the signs of terms that are moved.
x2 − 3x - 10 = 0
Step 2: Find the two factors that you would multiply to produce this polynomial. Do this one expression at a time. What gives you x2? The answer is x times x. Therefore, place an x at the beginning of each factor. (x)(x)
Next find the two numbers you would multiply to get 10. The numbers could be 10 and 1, or 5 and 2, but remember that the two numbers also have to produce 3, the middle term in the polynomial. The difference between 5 and 2 is 3. Therefore 5 and 2 are the numbers that complete the factors
(x − 5)(x + 2)
Now decide the signs that belong in each factor. The appearance of −10 in the polynomial means that 5 and 2 have different signs. The -3x in the polynomial indicates that 5 (the larger number) has the minus sign, and that 2 has a plus sign. Thus
(x − 5)(x + 2)
Step 3: Set each factor equal to zero and solve the equations.
x − 5 = 0x + 2 = 0
x = 5
x = −2

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QUESTION: 116

Which of these is a cylinder?

a stick of butter
an orange
a hula hoop
a can of vegetables

Answer(s): D

Explanation:

A cylinder is a solid figure whose upper and lower bases are circles; a can of vegetables is one example of a cylinder. An orange is a sphere; a stick of butter is a rectangular solid; and a hula hoop is (for all practical purposes) a two-dimensional figure, a circle.

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Free ASVAB Section 6: Mathematics Knowledge Exam Braindumps (page: 29)

QUESTION: 113

Explanation:

QUESTION: 114

Explanation:

QUESTION: 115

Explanation:

QUESTION: 116

Explanation: