Question : Evaluate. 1) (13 - 3)^2 ÷ 5 × 4 : 2151879

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

Evaluate.

1) (13 - 3)² ÷ 5 × 4

A) 125

B) 5

C) 80

D) 8

2) 15⋅2 + 5⋅4

A) 330

B) 140

C) 50

D) 420

3) 3 + 75 ÷ 75⋅5²

A) 4 

B) 28

C) (10/3)

D) 650

4) 80 - 4⋅7 + 70 ÷ (-5)

A) -1170

B) -31

C) 518

D) 38

5) (-5 - 8)(-5 + 8) - 52

A) -64

B) 25

C) -14

D) 3

6) 7⋅10 - 2(3)³ ÷ (-3)

A) - (16/3)

B) -612

C) 142

D) 88

7) 10⋅8 - 6(3 - 5)²

A) 37

B) 56

C) 296

D) -64

8) (2/3) ÷ (1/2) - 6⋅((1/2))²

A) - (7/6)

B) - (1/6)

C) - (1/12)

D) - (23/3)

9) (1/5) + (1/4) ÷ (- (2/3))⋅(1/2)

A) - (27/20)

B) - (11/20)

C) - (27/80)

D) (1/80)

10) 4.7 - 7.6 ÷ 2.5⋅(7.2 - 9.7)²

A) -7.25

B) -14.3

C) -0.1856

D) 4.2136

Solve the problem.

11) Scores in golf can be positive or negative integers. For example, a score of 5 over par can be represented by +5 and a score of 3 under par can be represented by -3. If Donna had scores of 4 over par, 6 under par, and 3 under par for three games of golf, what was her total score?

A) -13 or 13 under par

B) -5 or 5 under par

C) 5 or 5 over par

D) 13 or 13 over par

Use the distributive property to simplify.

12) - (-7m + 5n - 2p)

A) 7m - 5n - 2p

B) 7m - 5n + 2p

C) -7m + 5n - 2p

D) -7m + 5n + 2p

13) 6(x + 5y)

A) 6x - 30y

B) 6x + 5y

C) 6 + 30y

D) 6x + 30y

14) 3(8a - 11b)

A) 24a - 33b

B) 24a - 11b

C) 8a - 33b

D) -9ab

15) 7(-3a - 6b + 3)

A) -21a - 6b + 3

B) -21a - 42b + 21

C) -21a - 42b

D) -21a - 42b - 21

16) -7x(x + 2y + 8z)

A) -7x² + 2y + 8z

B) -7x² + 14xy + 56xz

C) -7x² - 14xy - 56xz

D) -7x - 14y - 56z

17) (5x - 7y - 6)(5x)

A) 25x² - 35xy - 30x

B) 5x - 7y - 30x

C) 25x² - 7y - 6

D) 25x - 35y - 30

18) (2/3)(9x² - 9x + 6)

A) 6x² - 6x + 4

B) 6x² - 18x + 12

C) 6x² - 9x + 6

D) 6x² + 6x - 4

19) (3x + 5y - 5)(-3xy)

A) -9x² - 15y² + 15xy

B) 3x + 5y + 15xy

C) -9x²y - 15xy² + 15xy

D) -9x²y + 15xy² - 15xy

20) -2.5(0.5x² - 4.5x - 3.6)

A) -1.25x² + 11.25x - 3.6

B) -1.25x² - 4.5x - 3.6

C) -1.25x² + 11.25x + 9

D) -1.25x² - 11.25x - 9

21) (y/3)(10y - x + 6)

A) (10/3)y² - x + 6

B) (10/3)y² - (x/3) + 2

C) (10/3)y² - (xy/3) + 2y

D) (10/3)y² + (xy/3) - 2y

Solve the problem.

22) A living room is 19 feet wide. The carpeted portion of the room is 2x feet long and the adjacent tiled portion of the room is 7y feet long. Use the distributive property to find an expression for the total area of the living room.

A) 38x + 133y square feet

B) 171(x + y) square feet

C) 21x + 26y square feet

D) 38x + 7y square feet

23) The quad at State University is 7x feet wide. Initially, it was 1500 feet long. However, due to the construction of a new science building, the original length was decreased by 2y feet. Use the distributive property to find an expression for the area of the new quad.

A) 10,500x - 14xy square feet

B) 10,500x + 14xy square feet

C) 10,500x + 3000y square feet

D) 10,500x - 3000y square feet

24) The price of a desk was 4y. During a sale, the price was reduced by $80. The store sold 2x desks during the first week of the sale. Write an expression with parentheses to represent the value of the desks sold during the first week. Then use the distributive property to write the expression without parentheses.

A) 4y(2x - 80) = 8xy - 320y dollars

B) 2x(4y - 80) = 8xy - 160 dollars

C) 2x(4y - 80) = 8xy - 80 dollars

D) 2x(4y - 80) = 8xy - 160x dollars

25) Sara is in charge of painting a mural on the side of a building. The wall is 33 meters long. The wall is 2x meters high up to the window ledge and it is 6y meters from the window ledge to the top. Write an expression with parentheses for the area of the wall. Then use the distributive property to write the expression without parentheses.

A) 33(2x + 6y) = 66x + 198y square meters

B) 33(2x + 6y) = 66x + 6y square meters

C) 2x(6y + 33) = 12xy + 33 square meters

D) 2x(6y + 33) = 12xy + 66x square meters