QUESTION: 61

If the volume of a cube is x3 cubic units, what is the number of square units in the surface area of the cube?

x2
x3
x6
6x2
6x3

Answer(s): D

Explanation:

If the volume of the cube is x3, then one edge of the cube is x. The surface area of a cube is six times the area of one face, which is x times x. The total surface area is 6x2.

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QUESTION: 62

If x – 3 is a multiple of two, what is the next larger multiple of two?

2x
x – 2
x – 1
x – 5
x + 2

Answer(s): C

Explanation:

The next larger multiple of two would be x – 3 + 2, which is x – 1. In this case, remember that any even number is a multiple of two and all evens are two numbers apart. If x – 3 is a multiple of two, you can assume that it is also an even number. This number plus two would also produce an even number.

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QUESTION: 63

If 3x + 1 = 81, then x – 1 =

2
3
4
9
27

Answer(s): A

Explanation:

Solve for x first. Since 3x+1 = 81, and 81 is 34, make an easier equation just based on the exponents. This would be x + 1 = 4. x = 3. Therefore, x – 1 = 3 – 1 = 2.

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QUESTION: 64

For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?

x + y + z + 1
xyz + xz
xy + z + 1
xyz + 1
xyz + 1/2

Answer(s): B

Explanation:

Use the counting principle: Take the number of choices you have for each course and multiply them together to get the total possible combinations. x × (y + 1) × z. Use the distributive property to simplify to xyz + xz.

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QUESTION: 61

Explanation:

QUESTION: 62

Explanation:

QUESTION: 63

Explanation:

QUESTION: 64

Explanation:

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