2024 Edition

# Algebra Practice Test

Test your knowledge of introductory Algebra with this Algebra practice exam. Whether you are studying for a school math test or looking to test your math skills, this free practice test will challenge your knowledge of algebra.

 1. -3ab + 4ac - 2ad = -(3ab - 4ac + 2ad) True False
 2. A father gave \$500 to his two sons. He gave X dollars to one son. Which of the following expressions correctly shows the amount he gave to the other son. a. \$500 + X b. \$500 ÷ X c. \$500 x X d. \$500 - X
 3. Solve X where 5X = 20. a. 4 b. 5 c. 10 d. 15
 4. Solve X where X - 5 = 15. a. 10 b. 15 c. 20 d. 25
 5. Solve X where 3X + 7 - 2 = 8. a. 1 b. 2 c. 3 d. 4
 6. Irene is N years old. If Tom is twice as old, which of the following algebraic statements shows his age now? a. 2N b. 2N + X c. 2 - N d. N - 2
 7. John has B bats and buys C bats more. He then gives away D bats. Which of the following algebraic statements corretly shows how many bats John has left? a. D - BC b. B - C - D c. B + C - D d. B + D + C
 8. What is the representation algebraically of the cost of L feet of lumber at Y dollars per foot? a. L + Y b. LY c. L / Y d. L - Y
 9. 3x + 6x = a. 3x b. 9 + 2 x c. 9x d. 9x + 2
 10. 5a + 2b - b + 4a = a. 9a + b b. a + b c. 7a - 3b d. 6a
 11. Find the value of 3abc, where a = 2, b = 3 and c = 4. a. 12 b. 27 c. 72 d. 82
 12. The sum of a certain number and 3 times the number is 40. What is the number? a. 8 b. 9 c. 10 d. 11
 13. Joe is lending Frank \$500 and Frank has 4 years to pay it back. Joe is charging 6% interest. Frank wants to determine how much interest he'll pay over the 4 years.  He sets up the formula, interest (i) = loan amount (l) x rate (r) x time (t).  Find i. a. \$12 b. \$120 c. \$125 d. \$1,200
 14. In V = 2m - 3, V is which of the following? a. Constant b. Dependent Variable c. Independent Variable d. Exponent
 15. In B = 3 + 4w, 3 is which of the following? a. Constant b. Dependent Variable c. Independent Variable d. Coefficient
 16. V = bdt. Solve the formula for d. a. d = b/tv b. d = t/bv c. d = vbt d. d = v/bt
 17. B = 1hm.  Solve the formula for h.         2 a. h = 1/2Bm b. h = 2B/m c. h = 2m/B d. h = 2Bm
 18. The absolute value of -14 is 14. True False
 19. - 3 + (-14) = a. 11 b. -11 c. -17 d. -42
 20. 20 - (-6) = a. 14 b. -14 c. 26 d. 120
 21. Add the following: 3x - 2y + 2y + 3z + 2z - 4x - 5y. a. x - 5y - z b. x - c. - x - 5y - z d. - x - 5y + 5z
 22. 6x - 10 = 4(x + 3). Solve for x. a. x = 9 b. x = 10 c. x = 11 d. x = 12
 23. x - 6 = 17. Solve for x. a. x = 23 b. x = 11 c. x = 102 d. x = 17 / 6
 24. Which of the following is not a grouping symbol? a. parentheses b. braces c. brackets d. arrows
 25. A minus sign that precedes a parenthesis causes the sign of each term within the parentheses to change when the parentheses are removed. True False
 26. If X equals 5, what is the value of 6X + 2X - X? a. 25 b. 30 c. 35 d. 40
 27. If 10 is separated into two parts, one of which is y, represent the second part. a. 10 / y b. 10 + y c. 10 - y d. y - 10
 28. Find 3 consecutive numbers such that 3 times the first is equal to 8 more than the sum of the other two. a. 8, 9, 10 b. 9, 10, 11 c. 11, 12, 13 d. 12, 13, 14
 29. The ratio of the height of two buildings is 7 to 5. The first building is 210 feet tall. How tall is the second building? a. 140 b. 145 c. 150 d. 160
 30. Factor the polynomial 5x - 15. a. x = 5 b. 5(x - 3) c. x - 3 d. 5x - 3(5)