1. Determine the area of a rectangle with a length of 7 feet and a height

of 9 feet.

(A) 81 ft._{2}

(B) 63 ft._{2}

(C) 32 ft._{2}

(D) 31.5 ft._{2}

(E) 16 ft._{2}

2. Determine the perimeter of a rectangle with a length of 5 inches and a

height of 7

inches.

(A) 49 in.

(B) 35 in.

(C) 24 in.

(D) 17.5 in.

(E) 12 in.

3. Determine which figure has a greater area: Figure *A*, which is a

circle with a diameter of 9 inches, or Figure *B*, which is a circle

with a radius of 5 inches.

(A) Figure *A* has a greater area than figure *B*.

(B) Figure B has a greater area than figure *A*.

(C) Figure *A* and Figure *B* have the same area.

(D) It is impossible to compare the two figures.

(E) There is not enough information to answer the question.

4. Determine the volume of a rectangular box with a length of 5 inches, a

height of 7 inches, and a width of 9 inches.

(A) 445.095 in._{3}

(B) 315 in._{3}

(C) 45 in._{3}

(D) 35 in._{3}

(E) 21 in._{3}

5. Determine the volume of a cylinder with a diameter of 9 inches and a

height of 7 inches.

(A) 445.095 in._{3}

(B) 315 in._{3}

(C) 197.82 in._{3}

(D) 63 in._{3}

(E) 16 in._{3}

6. Determine the value of *x* if 6x – 7 = 11 and 4*x* – 8 + 2

= 6.

7. Determine the value of *x* if |4*x* – 3| = 7 and |2*x* + 2| = 0.

8. A major automotive manufacturing plant has designed a formula to

estimate the number of parts they will need to purchase in order to fill

their orders for a specific period of time. Using their formula,

*F*(*x*) = x * 2*p* – (*b* – *x* *

*d*), where F is the number of parts required to fill the orders,

*x* is the number of days in the period, *p* is the number of

parts that the plant uses on average per day, *b* is the number of

parts that the plant currently has on hand, and *d* is the number of

defective parts the plant expects to have each day, determine the number of

parts that the plant will have to order for a 5-day period in which they

use 15 parts per day, have 50 parts on hand, and expect to have 5 defective

parts each day.

9. A standard deck of playing cards consists of 52 cards separated evenly

into four different suits, which includes hearts, diamonds, spades, and

clubs. Each card is identified by its suit and by a number from 2 – 10, or

a *J* for jack, a *Q* for queen, a *K* for king, and

an *A* for ace. Using this information, determine the probability of

drawing an ace on the first card drawn and the probability of drawing the

ace of spades on the first card drawn.

(A) 4/13, 1/13

(B) 1/52, 3/52

(C) 1/4, 3/4

(D) 1/13, 1/52

(E) 1/13, 1/1352

10. A standard deck of playing cards consists of 52 cards separated evenly

into four different suits, which includes hearts, diamonds, spades, and

clubs. Each card is identified by its suit and by a number from 2 – 10, or

a *J* for jack, a *Q* for queen, a *K* for king, and

an *A* for ace. Using this information, determine the probability

that an individual will draw two aces if he or she draws two cards from the

deck without replacing the first card that he or she draws.

(A) 1/13

(B) 1/52

(C) 1/17

(D) 1/221

(E) 1/1352

**SAT Prep Help Mathematics Answers & Explanations**