UPDATED 2020

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)
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.
3. Solve X where 5X = 20.
4. Solve X where X - 5 = 15.
5. Solve X where 3X + 7 - 2 = 8.
6. Irene is N years old. If Tom is twice as old, which of the following algebraic statements shows his age now?
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?
8. What is the representation algebraically of the cost of L feet of lumber at Y dollars per foot?
9. 3x + 6x =
10. 5a + 2b - b + 4a =
11. Find the value of 3abc, where a = 2, b = 3 and c = 4.
12. The sum of a certain number and 3 times the number is 40. What is the number?
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.
14. In V = 2m - 3, V is which of the following?
15. In B = 3 + 4w, 3 is which of the following?
16. V = bdt. Solve the formula for d.
17. B = 1hm.  Solve the formula for h.
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18. The absolute value of -14 is 14.
19. - 3 + (-14) =
20. 20 - (-6) =
21. Add the following: 3x - 2y + 2y + 3z + 2z - 4x - 5y.
22. 6x - 10 = 4(x + 3). Solve for x.
23. x - 6 = 17. Solve for x.
24. Which of the following is not a grouping symbol?
25. A minus sign that precedes a parenthesis causes the sign of each term within the parentheses to change when the parentheses are removed.
26. If X equals 5, what is the value of 6X + 2X - X?
27. If 10 is separated into two parts, one of which is y, represent the second part.
28. Find 3 consecutive numbers such that 3 times the first is equal to 8 more than the sum of the other two.
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?
30. Factor the polynomial 5x - 15.