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

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Solve the problem.1) Only one of the following equations does not require Step 1 of the method for completing the square. Which one is it?

1) _______

A) = 8 B)

• x = 8
• (2x - 5)(x - 8) = 0 D)
• - 5x - 8 = 0

Answer the question.2) If a rectangle is x feet long and y feet wide, which one of the following expressions is the length of its diagonal in terms of x and y?

2) _______

• x + y B)

+ C)

D)

3) To solve for the lengths of the right triangle sides, which equation is correct?

3) _______

A)

• =

B) = + C) = + D)

• =

Solve the problem.4) Which one of the following equations is set up for direct use of the zero-factor property? 4) _______ A)

• - 7x + 1 = 0
• (3x - 7)(x + 1) = 0

C) = 1 D)

• x = 1

Answer the question.5) The mat around the picture shown measures x inches across. Which one of the following equations says that the area of the picture itself is 800 square inches?

5) _______

• 2(44 - 2x) + 2(32 - 2x) = 800 B) (44 - 2x)(32 - 2x) = 800
• (44 - x)(32 - x) = 800 D)

(44)(32) - = 800

Solve the problem.6) Which one of the following equations is set up for direct use of the square root property? 6) _______ Chapter 1 (Essentials of College Algebra, 12e Margaret Lial, John Hornsby, David Schneider, Callie Daniels) (Answer at the end of each Chapter) (For Complete File, Download link at the end of this File) 1 / 4

A) = 6

• (3x - 5)(x + 6) = 0

C)

• x = 6

D)

• - 5x + 6 = 0

7) Only one of the following equations is set up so that the values of a, b, and c can be determined immediately. Which one is it?

7) _______

A) = 8 B)

• + 7x + 8 = 0

C)

• x = 8
• (3x + 7)(x + 8) = 0

Solve the equation.8)

+ = 2

8) _______

A)

B) {2, 4} C)

D)

Solve and graph the inequality. Give answer in interval notation.9) 7x - 9 ≥ 6x - 12

9) _______

A) (-∞, -3]

B) [-3, ∞)

C) (7, ∞)

D) (-∞, 7)

Solve the problem.10) Kevin invested part of his $5000 bonus in a certificate of deposit that paid 2% annual simple interest, and the remainder in a mutual fund that paid 4% annual simple interest. If his total interest for that year was $190, how much did Kevin invest in the mutual fund?

10) ______

A) $4690.00 B) $4981.00 C) $4791.00 D) $4500.00

11) A boat is 216 feet from the base of cliff. If the distance from the top of the cliff to the boat is 54 more than twice the height of the cliff. Find the height of the cliff. Round to the nearest tenth of a foot if necessary.

11) ______

• 90 ft B) 54 ft C) 120.7 ft D) 162 ft

Solve the equation.12) = 3(3x + 6) + 28

12) ______

A) {7, -4} B)

C)

D)

Solve for the indicated variable.13) V = , for m

13) ______

A) m = B) m = C) m = D) m =

Solve the equation.

14) = 0 14) ______

A) {2, -2} B) (-∞, -2) C) (2,∞) D) {-2}

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Solve the problem.15) In a chemistry class, 6 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed?

15) ______

A) 6 L B) 2 L C) 3 L D) 4 L

Find the quotient. Write the answer in standard form.16)

16) ______

• - 4 + 5i B)
• i

C)

• + 5i

D)

• i

Solve the problem.17) The difference of the squares of two positive consecutive even integers is 28. Find the integers. 17) ______

A) 4, 2 B) 6, 4 C) 8, 10 D) 6, 8

Solve the quadratic inequality. Write the solution set in interval notation.18)

≥ -9

18) ______

A)

B) (-∞, ∞) C)

∪

D) ∅

Solve the equation.19)

6 + 25 + 25 = 0

19) ______

A)

B) {3, 2}

C)

D)

Solve the rational inequality. Write the solution set in interval notation.20) ≤ 0

20) ______

A)

∪ (2, ∞)

B)

∪ [2, ∞)

C)

D)

Graph the solution set.21) |x| ≤ 3

21) ______

A)

B)

C)

• / 4

D)

Solve the problem.22) Your home state uses a linear model y= 24(x - 70) + 1274 to predict the number of vacationers (y) as compared to the average temperature for that week (x). Find the number of vacationers predicted for a week with an average temperature of 85 degrees.

22) ______

• 3244 vacationers B) 30,936 vacationers
• 4994 vacationers D) 1634 vacationers

Solve the equation.23) x + 7 = 0 23) ______ A) i

B) 7 C)

-i

D) -7

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex.24) w2 - 2w + 4 = 0 24) ______

• Two distinct rational solutions B) One rational solution (a double solution)
• Two distinct irrational solutions D) Two distinct nonreal complex solutions

Write the number as the product of a real number and i.25)

25) ______

• -4i B)

4 C) -i

• 4i

Find the quotient. Write the answer in standard form.26)

26) ______

A)

• i

B)

• i

C)

• i

D)

• i

Solve the equation.27)

• =

27) ______

A)

B)

C)

D) ∅

28) x - 11 = 0 28) ______

A) ±11 B) -11 C) 11 D)

Find the sum or difference. Write the answer in standard form.29) (-5 - 9i) - (-4 + 8i) - (8 + 5i) 29) ______

• 7 - 12i B) -9 - 22i C) -9 + 4i D) -1 + 4i

Use these equations to convert between the two systems.

C = (F - 32) F = C + 32

Round answer to the nearest tenth of a degree if necessary.

30) F = 116° 30) ______

• C = 46.7° B) C = 60.9° C) C = 151.2° D) C = 240.8°
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