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PRACTICE PROBLEMS – Remember, calculators may not be used. After you have prepared by reviewing the math you already know, do as many problems as you know. You do not have to know how to do all of them. • If you are able to answer 25 to 35 questions, we recommend you take the Intermediate Algebra Placement Test. • If you are able to answer 15 to 24 questions, we recommend you take the Elementary Algebra Placement Test. • If you are able to answer 1 to 14 of the questions, we recommend you take the Algebra Readiness Placement Test. You must bring this package with your completed problems when you come to the Assessment Center in LR 141. Please show your work neatly and circle your answer. 1) .29 can be written as (A) 2 9/100 (B) 29/100 (C) 29/10 (D) 2 9/10
3) 6/7 ÷ 2/9 = (A) 4/21 (B) 15/14 (C) 3/7 (D) 27/7
5) 4 2 6 = (A) .36 (B) 16 (C) 12 (D) 48 7) 37 ∙ 33
(A) 310 (B) 321 (C) 910 (D) 921 9) If x = 2, then 2 + 5x = 2 + x (A) 3 (B) 11/3 (C) 5 (D) 7/2
2) .111 + 12.2 + 3.12 = (A) 15.431 (B) 16.43 (C) 435.2 (D) 43.511 4) 4 3/5 + 1 4/15 = (A) 5 7/15 (B) 5 7/20 (C) 5 13/15 (D) 5 4/25
6) (‐3) – [3(‐4) + 7] = (A) ‐22 (B) 16 (C) 2 (D) ‐8 8) 16 is 8% of what number? (A) 80 (B) 20 (C) 4.8 (D) 200 10) The area of the figure is 3 (A) 5 4 (B) 6 (C) 12 (D) 15 11) If x = ‐3 and y = 2/3 , evaluate ‐5x2 + 3y – x (A) 50 (B) ‐48 (C) 230 (D) ‐40 13) If 3x + 2y = 8 and y = x – 1, then x = (A) ‐6 (B) ‐4/3
(C) ‐3/4
(D) 2 15) One solution of x2 ‐4x = 12 is (A) 2 (B) 6 (C) 12 (D) 16 17) c/d + 2 = (A) c+2d/d
(B) c +d/d +2
(C) c+d/d
(D) c + 2d 19) √3 + √27 (A) 6 (B) 3√3 (C) 4√3 (D) √30 21) An equation of the line on the drawing is 1 (A) y = ‐½ x + 1 2 (B) y = 2x + 1 (C) y = x + 2 (D) y = ½ x + 1 23) One of the solutions of the equation 3x2 – 2x – 8 = 0 is (A) ‐4/3
(B) ‐2 (C) 2/3
(D) ‐4 25) x6nx2
x2n
(A) x5
(B) x4n+2
(C) x6
(D) x16n 12) Solve for x: ‐3x + 10 = ‐41 (A) ‐17 (B) ‐48 (C) 17 (D) ‐31/3
14) The inequality 7 – 2x < 1 is equivalent to (A) x < 3 (B) x < ‐4 (C) x > 3 (D) x> ‐4 16) (x3 + 3y)(2x3 + 3y) = (A) 2x6 + 9y2
(B) 2x9+ 9x3y + 9y (C) 20x9y2
(D) 2x6 + 9x3y +9y2
18) 1/x + 2/x + 1 = (A) 3/2x+1
(B) x + 3/x(x+1)
(C) 3x+1/x(x+1)
(D) 4/x+1
20) A student who correctly answered 72 questions on a test received a score of 75%. How many questions were on the test? (A) 54 (C) 96 (B) 75 (D) 104 22) In the triangle at the right, x = 3a 5a (A) 2a x (B) √34 a (C) 16a2
(D) 4a 24) x4y9
‐3
xy
(A) x4y6
(B) x3y6
(C) x3y12
(D) x4y12
26) If 2x + y = 8 and x – y = 1, then y = (A) 3 (B) 5 (C) 2 (D) No solution for y 27) The solutions to y2 – 2y + 3 = 0 are (A) 1 ± i 2 (B) 3 and ‐1 (C) ±2i 2 (D) 1 ± 2 2 29) 3 4 3 12 (A) 4 3 3 (B) 2 3 6 (C) 6
48 28. 2x – 3[2x – (3 – 4x)] = (A) 8x – 9 (B) ‐8x + 3 (C) 9 – 16x (D) 12x2 – 24x + 9 30) x2 + 4x ∙ (x + 2)2
x2 + 4 x2
(A) (x+2)2/x (B) (x+4)/x (C) 4x (D) (x+4)(x+2)2/(x3 + 4x) (D) 2 3 2 32) If log2 x = 3 , then x = 31) If f(x) = x2 + 5 , then f(‐3) = x – 1 (A) ‐7/2 (A) 3√2 (B) 1 (B) 6 (C) ‐7 (C) 8 (D) 14/3 (D) 9 34) The point (?,‐3) is on the graph of 33) If ⅔ is ½ of ⅘ of a certain number, then that 5x – y = 3x – 5 . number is (A) (‐1, ‐3) (A) 15/4 (B) (5, ‐3) (B) 5/3 (C) (29, ‐3) (C) 5/6 (D) 5/12 (D) (‐4, ‐3) 35) Which of the following could be a part of the graph of 2x – 3y = 6 ? (A) (B) (C) (D) 3 3 2 4 ‐2 ‐2 3 ‐ 6 Answers: 1) B 2) A 3) D 4) C 5) C 6) C 7) A 8) D 9) A 10) B 11) D 12) C 13) D 14) C 15) B 16) D 17) A 18) C 19) C 20) C 21) A 22) D 23) A 24) C 25) B 26) C 27) A 28) C 29) B 30) D 31) A 32) C 33) B 34) D 35) B