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Question : 1) The perimeter of the rectangle with width x and length x + 11 : 2151553

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Write the following as an algebraic expression. Then simplify.

1) The perimeter of the rectangle with width x and length x + 11.

A) 2x + 11

B) x^{2} + 11x

C) 4x + 22

D) 4x + 11

2) The sum of three even consecutive integers if the first integer is y.

A) 3y + 6

B) 3y

C) 6

D) 3y + 3

3) The perimeter of a triangle whose sides are of lengths 6x, 6x - 5, and x.

A) 13x - 5

B) 36x^{2} - 30x

C) 7x

D) 12x - 5

4) The sum of three consecutive integers if the last integer is z.

A) 3z - 3

B) 3z

C) 3z + 3

D) 3z + 6

5) The perimeter of a square with sides of length x - 2.

A) x^{2} + -4x + 4

B) 4x - 8

C) x - 8

D) 4x - 2

6) The total value of money (in cents) of (7x - 2) nickels, 3x dimes, and x quarters.

A) (65x - 10) cents

B) (90x + 10) cents

C) (90x - 10) cents

D) (90x - 2) cents

7) The perimeter of the floor plan shown.

A) 2x

B) 2x + 52

C) 52

D) 2x + 18

Solve.

8) Three times the sum of some number plus 2 is equal to 6 times the number minus 15.

A) 21

B) 7

C) -7

D) -21

9) The difference of a number and 9 is the same as 47 less the number. Find the number.

A) 28

B) -28

C) -19

D) 19

10) Six times some number added to 4 amounts to 10 added to the product of 4 and the number.

A) -6

B) 3

C) 6

D) -3

11) Find 50% of 134.

A) 670

B) 6700

C) 67

D) 1340

12) Find 11% of 2000.

A) 22

B) 220

C) 22,000

D) 2200

13) Find 36% of 34.

A) 12.24

B) 1224

C) 122.4

D) 1.224

14) A region consists of 2545 thousand acres of farm land. If 32% of this land is privately owned, find how may acres are not privately owned.

A) 814.4 acres

B) 1730.6 thousand acres

C) 814.4 thousand acres

D) 1730.6 acres

15) A diamond ring sold for $2234.40 including tax. If the tax rate where the diamond was purchased is 6.4%, find the price of the ring before the tax was added. (Round to the nearest cent, if necessary.)

A) $143.00

B) $2091.40

C) $2100.00

D) $2377.40

16) The three most prominent buildings in a city, Washington Center, Lincoln Galleria, and Jefferson Square Tower, have a total height of 1800 feet. Find the height of each building if Jefferson Square Tower is three times as tall as Lincoln Galleria and Washington Center is 350 feet taller than Lincoln Galleria.

A) Washington Center: 640 feet

Lincoln Galleria: 290 feet

Jefferson Square Tower: 870 feet

B) Washington Center: 430 feet

Lincoln Galleria: 80 feet

Jefferson Square Tower: 1290 feet

C) Washington Center: 630 feet

Lincoln Galleria: 210 feet

Jefferson Square Tower: 960 feet

D) Washington Center: 240 feet

Lincoln Galleria: 80 feet

Jefferson Square Tower: 1480 feet

17) The sum of three consecutive even integers is 336. Find the integers.

A) 108, 110, 112

B) 111, 112, 113

C) 110, 112, 114

D) 112, 114, 116

18) The population of a town increased by 80% in 5 years. If the population is currently32,000, find the population of this town 5 years ago. (Round to the nearest whole, if necessary.)

A) 25,600

B) 6400

C) 40,000

D) 17,778

19) Find the measures of the angles of a triangle if the measure of the first angle is three times the measure of the second angle and the third angle is 20° more than the second angle.

A) 69°, 23°, 88°

B) 40°, 20°, 120°

C) 52°, 32°, 96°

D) 60°, 20°, 100°

20) A publisher printed 55 million pages in its production process last year. If this represents a 125% over the number of pages printed the previous year, how many pages were printed the previous year? (Round to the nearest hundredth million, if necessary.)

A) 44 million pages

B) 15,625 million pages

C) 440 million pages

D) 156.25 million pages

21) Angle A and angle B are complementary angles and angle A is 6° more than three times angle B. Find the measures of angle A and angle B.

A) A = 36°, B = 54°

B) A = 54°, B = 36°

C) A = 69°, B = 21°

D) A = 21°, B = 69°

22) Angle A and angle B are supplementary angles and angle A is 5° less than four times angle B. Find the measures of angle A and angle B.

A) A = 145°, B = 35°

B) A = 121.7°, B = 58.3°

C) A = 148°, B = 32°

D) A = 143°, B = 37°

23) The cost C to produce x number of tennis rackets is C = 180 + 15x. The tennis rackets are sold wholesale for $20 each, so revenue R is given by R = 20x. Find how many tennis rackets the manufacturer needs to produce and sell to break even.

A) 18 tennis rackets

B) 31 tennis rackets

C) 41 tennis rackets

D) 36 tennis rackets