and r = ( x + 2 ), we substitute r into the equation for A and

Transcription

1 Elementary Algebra Accuplacer Review Problem Solutions 1. The correct answer is C. We can substitute 2 in for k in the expression and follow order of operations: 2. The correct answer is D. Since distribute. and r = ( x + 2 ), we substitute r into the equation for A and 3. The correct answer is D. If we want the least possible value of y, we need to have the largest possible value of x. Since, the largest possible value for x is 20. To find the value for y, we substitute x = 20 into the equation and solve for y.

2 4. The correct answer is A. If we separate the fraction into two different fractions, it shows that they are not equivalent. 5. The correct answer is C. We can simplify the equation changing it back into two separate fractions from a combined fraction. 6. The correct answer is A. Since the formula is given to us, we simply substitute in the values given into the formula solve for the missing variable. We know times cannot be negative so the answer must be 3 seconds.

3 7. The correct answer is A. Following the order of operations we do the inner most parentheses first and work our way out from there The correct answer is C. The formula for the volume of a rectangle is. We are given the volume that we can plug in, and also the width and length which then leads us to algebraically solve for the height. Now using answer C and distributing, we can see that both sides will then be equal 9. The correct answer is A. If the length = L, then the width. The area of a rectangle is length*width and was given as 390. So using substitution, we get the answer. 10. The correct answer is B.

4 11. The correct answer is D. We use the formula d = r t and we plug in values for r and t and solve for d. d = 12. The correct answer is B. To find the perimeter we just have to add up all of the sides of the triangle. Therefore: P = 13. The correct answer is A. Using the rules for division of fractions, we multiply the top fraction by the reciprocal of the bottom (otherwise known as copy dot flop) and then simplify. 14. The correct answer is B. which means or. Solving each gives us only one solution less than zero. The correct answer is then.

5 15. The correct answer is A. The first thing we want to do is reduce the fraction by dividing the like terms. Now we have. 16. The correct answer is B. First we need to simplify the denomenator denominator and then combining into one fraction. by finding the least common Then we need to use division of fraction rules as in problem The correct answer is D. can be simplified by cancelling one of the k s from each term giving and there is no way can be simplified into the same thing.

6 18. The correct answer is C. The problem gives us the radius and its height as r = p and h = 2 p. Substituting those into the volume formula we get the answer. 19. The correct answer is B. Solving for S, first add Z to both sides. Then factor out the Z and divide by what s left to solve for Z. 20. The correct answer is B. Let P be the price of the shoes. The sale price then will be: The Final price then will be: 21. The correct answer is A.

7 22. The correct answer is D. Start by using copy dot flop to divide the fractions. Then find a common denominator and simplify if possible to find the denominator. 23. The correct answer is B. We know that: Suzy made Ron made Sam made since Sam makes as much as Suzy. Adding these all together we get: Now we find a common denominator, add, then simplify.

8 24. The correct answer is D. Following the order of operations we simplify each parenthesis. Adding the two terms together we get the following: 25. The correct answer is C. We begin with the numerator and simplify into one fraction. Then do the same with the denominator Now we can apply rules for division of fractions and simplify

9 26. The correct answer is A. We factor out the 10 which is the greatest common factor to get: 27. The correct answer is A. We add p to both sides of the equation to get the following: Now we can combine the fraction on the right hand side by finding the common denominator. Now multiply both sides by n. Multiply both sides by x Now divide by what is attached to x. 28. The correct answer is D. Add 10x to both sides and add 2 to both sides. Divide by 4 on both sides If you need further assistance with your Math Accuplacer, please contact the MSU Denver Tutoring Center at , or tutoring@msudenver.edu; or visit us in the Student Success Building, room 220.