placement test practice

10. 20 - 4/5 x ≥ 16 Which of the following inequalities is equivalent to the inequality shown above? A. x ≤ 5 B. x ≥ 5 C. x ≤ 65/2 D. x ≥ 65/2

A

15. If an equation of the linear function in the figure above is y=mx+b, then m= A. - r/s B. r/s C. rs D. r E. −s

A

16. 2x + 6y = 5 x + 3y = 2 How many solutions (x, y) are there to the system of equations above? A. None B. One C. Two D. More than two

A

17. Which of the following is a factor of both x^2 - x - 6 and x^2 - 5x + 6? A. x - 3 B. x - 2 C. x + 2 D. x + 3

A

19. A rectangular yard has area 96 square feet. If the width of the yard is 4 feet less than the length, what is the perimeter, in feet, of the yard? A. 40 B. 44 C. 48 D. 52

A

2. 7.86 × 4.6 = A. 36.156 B. 36.216 C. 351.56 D. 361.56

A

19. From 5 employees at a company, a group of 3 employees will be chosen to work on a project. How many different groups of 3 employees can be chosen? A. 3 B. 5 C. 6 D. 10 E. 15

D

6. An apartment building contains 12 units consisting of one- and two-bedroom apartments that rent for $360 and $450 per month, respectively. When all units are rented, the total monthly rental is $4,950. What is the number of two-bedroom apartments? A. 3 B. 4 C. 5 D. 6 E. 7

E

3. What is the value of the expression 2x^2 + 3xy - 4y^2 when x = 2 and y = -4? A. -80 B. -32 C. 32 D. 80

A

5. An equation of the line that contains the origin and the point (1, 2) is A. y = 2x B. 2y=x C. y=x-1 D. y = 2x + 1 E. y/2 = x-1

A

6. Which of the following is closest to 27.8 × 9.6? A. 280 B. 300 C. 2,800 D. 3,000

A

7. 4 - (-6) / -5 = A. -2 B. -2/5 C. 2/5 D. 2

A

9. If f(x) = 2x+1 and g(x) = (x-1)/2 , then f(g(x)) = A. x B. x-1 / 4x+2 C. 4x+2/ x-1 D. 5x+1/2 E. ((2x+1)(x-1))/2

A

1. 2.75 + 0.003 + 0.158 = A. 0.436 B. 2.911 C. 2.938 D. 4.36

B

10. 3 1/3 - 2 2/5 = A. 1/15 B. 14/15 C. 1 1/15 D. 1 1/2

B

11. 5y(2y - 3) + (2y - 3) = A. (5y + 1) (2y + 3) B. (5y + 1) (2y - 3) C. (5y - 1) (2y + 3) D. (5y - 1) (2y - 3) E. 10y(2y-3)

B

11. Which of the following lists of numbers is ordered from least to greatest? A. -1/3. -3/5, 2/3, 3/5 B. -3/5, -1/3, 3/5, 2/3 C. -1/3, -3/5, 3/5, 2/3 D. -3/5, -1/3, 2/3, 3/5

B

13. For which of the following equations are x = 5 and x = -5 both solutions? A. x^2 + 25 = 0 B. x^2 - 25 = 0 C. x^2 + 10x - 25 = 0 D. x^2 - 5x - 25 = 0

B

14. 46.2 × 10^-2 = A. 0.0462 B. 0.462 C. 4.62 D. 462

B

16. What is 12% of 120? A. 10 B. 14.4 C. 18.4 D. 28.8

B

17. A box in a college bookstore contains books, and each book in the box is a history book, an English book or a science book. if 1/3 of these books are history books and 1/6 are English books, what fraction of the books are science books? a. 1/3 b. 1/2 c. 2/3 d. 3/4

B

18. The measures of two angles of a triangle are 35° and 45°. What is the measure of the third angle of the triangle? A. 95° B. 100° C. 105° D. 110°

B

2. √ 2× √ 15 = ? A. √17 B. √30 C. 17 D. 30

B

3. 7 / 20 A. 0.035 B. 0.35 C. 0.858 D. 3.5

B

6. If x > 2, then (x2-x-6) / (x^2 - 4) A. x - 3 / 2 B. x - 3 / x- 2 C. x - 3 / x+ 2 D. 3 / 2

B

7. A soccer team played 160 games and won 65 percent of them. How many games did the team win? A. 94 B. 104 C. 114 D. 124

B

8. If 2x - 3(x + 4) = -5, then x = A. -17 B. -7 C. 7 D. 17

B

8. If log10x = 3, then x = A. 3^10 B. 1,000 C. 30 D. 10 E. 3 / 10

B

8. There are 3 people who work full-time and are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full-time. if one of the people is budgeted for 1/2 of his time to the project and a second person for 1/3 of her time, what part of the third worker's time should be budgeted for this project? a. 1/8 B. 1/6 C. 1/3 D. 3.5

B

1. 2^(5/2) - 2^(3/2) = A. 2^(1/2) B. 2 C. 2^(3/2) D. 2^(5/3) E. 2^2

C

11. 2 1/2 + 4 2/3 = a. 6 1/6 b. 6 5/6 c. 7 1/6 d. 7 5/6

C

12. If 5t + 2 = 6, then t = A. 8 5 B. 4 4 C. 5 D. -8

C

12. What is 1,345/99 rounded to the nearest integer? A. 12 B. 13 C. 14 D. 15

C

14. If x≠0, then u/x +5u/x - u/5x = A. 7x/5u B. 5u/7x C. 29u/5x D. 31u/5x

C

14. In the xy-plane, the graph of y = x2 and the circle with center (0, 1) and radius 3 have how many points of intersection? A. None B. One C. Two D. Three E. More than three

C

15. If 3/2 ÷ 1/4 =n, then n is between A. 1 and 3 B. 3 and 5 C. 5 and 7 D. 7 and 9

C

15. The solution set of which of the following inequalities is graphed on the number line above? A. 2x − 4 ≥ −3 B. 2x + 5 ≤ 6 C. 3x − 1 ≤ 5 D. 4x − 1 ≥ 7

C

18. (10x^6 + 8x^4) / 2x^2 = A. 9x^12 B. 14x^4 C. 5x^4 + 4x^2 D. 5x^3 + 2x^2

C

19. Erica bought 3 1/2 yards of fabric. If she uses 2/3 of the fabric to make a curtain, how much will she have left? A. 1/6 yard B. 1/3 yard C. 1 1/6 yards D. 2 1/3 yards

C

4. The graph of which of the following equations is a straight line parallel to the graph of y=2x? A. 4x - y = 4 B. 2x - 2y = 2 C. 2x - y = 4 D. 2x + y = 2 E. x - 2y = 4

C

4. Which of the following is the least? A. 0.105 B. 0.501 C. 0.015 D. 0.15

C

7. If the two square regions in the figures below have the respective areas indicated in square yards, how many yards of fencing are needed to enclose the two regions? (Assume the regions are fenced separately.) A. 4√130 B. 20√10 C. 24√5 D. 100 E. 104√5

C

9. 32 is 40% of what number? A. 12.8 B. 128 C. 80 D. 800

C

1. IfA represents the number of apples purchased at 15 cents each, and B represents the number of bananas purchased at 10 cents each, which of the following represents the total value of the purchases in cents? A. A+B B. 25(A + B) C. 10A + 15B D. 15A+10B

D

10. If θ is an acute angle and sin θ = 1/2 , then cos θ = A. -1 B. 0 C. 1 2 D. √3/2 E. 2

D

13. Three of four numbers have a sum of 22. if the average of the four numbers is 8, what is the fourth number? a. 4 b. 6 c. 8 d. 10

D

20. Jen wants to tile the floor of her kitchen. The floor is rectangular and measures 12 feet by 8 feet. If it costs $2.50 per square foot for the materials, what is the total cost of the materials for tiling the kitchen floor? A. $160 B. $200 C. $220 D. $240

D

20. On Monday, it took Helen 3 hours to do a page of science homework exercises. the next day she did the same number of exercises in 2 hours. if her average rate on monday was p exercises per hour, what was her average rate the next day, in terms of p? a. 2(p+1) exercises per hour b. 3(p-1) exercises per hour c. 2/3 exercises per hour d. 3/2 exercises per hour

D

4. In the figure below, both circles have the same center, and the radius of the larger circle is R. If the radius of the smaller circle is 3 units less than R, which of the following represents the area of the shaded region? (REFER TO TEXT FOR PIC) A. πR2 B. π(R - 3)2 C. πR2 - π × 32 D. πR2 -π(R-3)2

D

5. (3x - 2y)^2 = A. 9x^2 - 4y^2 B. 9x^2 + 4y^2 C. 9x^2 - 6xy + 4y^2 D. 9x^2 - 12xy + 4y^2

D

5. All of the following are ways to write 25 percent of N EXCEPT A. (0.25)N B. 25 N 100 C. 1 N 4 D. 25N

D

9. -3(5-6)-4(2-3)= A. -7 B. -1 C. 1 D. 7

D

12. For what real numbers x is the value of x^2- 6x + 9 negative? A. -3 < x < 3 B. x < -3 or x > 3 C. x = -3 or x = 3 D. 0 <x< 6 E. For no real numbers x

E

13. A root of x2 - 5x - 1 = 0 is a. (1− √29)/2 b. (5-√17)/2 c. (1+√29)/2 d. (5+√17)/2 e. (5+√29)/2

E

16. One ordering of the letters T, U, V, and W from left to right is UTVW. What is the total number of orderings of these letters from left to right, including UTVW? A. 8 B. 12 C. 16 D. 20 E. 24

E

17. if f(x)=(3x-1)/2 and f^-1 is the inverse of f, what is the value of f^-1(3)? a. 1/3 b. 2/3 c. 1 d. 2 e. 7/3

E

18. The sequence {a>n} is defined by a>o = 1 and a>(n+1) = 2a>n + 2 for n = 0, 1, 2, ... What is the value of a>3? A. 8 B. 10 C. 16 D. 20 E. 22

E

2. If a ≠ b and 1/x + 1/a = 1/b, then x= a. 1/b - 1-a b. b-a c. 1/ab d. 1-b/ab e. ab/1-b

E

20. if f(x) = (1/3)^x and a<b, which of the following must be true? a. f(a) + f(b) =3 b. f(a) + 1/3 = f(b) c. f(a) = f(b) d. f(a) < f(b) e. f(a) > f(b)

E

3. If 3x^2 - 2x + 7 = 0, then (x - 1/3)^2 = a. 20/9 b. 7/9 c. -7/9 d. -8/9 e. -20/9

E