Algebra practice testPrint your algebra practice test before you start
Name _____________________ Date:_____________________ Solve the following problems 1. What is the product of 10 and +5? ____________ 2. Add: 10 + 5 ____________ 3. What is the quotient of 16 and 4? _____________ 4. Subtract: 1 − 8 ______________ 5. Calculate: 6 × 2 + 4 × 3 ___________ 6. Simplify the following expressions: a) 4x + 5 + 2x ____________ b) 6x + 4z + 3x − 10z ____________ c) 10y − 2y − 3z − 9z − 6y ____________ d) x^{5} × y^{4} × x^{7} × y^{10} ______________ e) x^{8} ÷ x^{2} ____________ f) (4x)^{3} _________________ g) (5c)^{4} _________________ 7. Which of the following expressions show the associative property? A. 5 × 7 + 2 = 2 + 5 × 7 B. 5 + 7 = 7 + 5 C. (5 × 7) × 2 = 5 × (7 × 2) D. 2 + 7x 8. Which properties are illustrated by the following three expressions? a) 1 × 7 + 2 = 2 + 1 × 7 b) 9 * 1 = 9 c) 4 × ( 2 + 6) = 4 × 2 + 4 × 6 A. Identity property of addition, distributive property, and commutative property of addition B. Identity property of addition, distributive property, and associative property of addition C. Identity property of multiplication, distributive property, and commutative property of addition D. Identity property of multiplication, distributive property, and commutative property of multiplication 9. Solve the following equations for x: a) x − 2 = 7 b) x − 2 = 7 c) (2/3)x = 6 d) 2x + 5 = 11 e) ax + b = e 10. Solve the following inequalities. Then graph a) on the number line a) 3x  2 > 11 b) x ≠ 5 c) 1 ≤ x < 4 d) 5f < 10 11. Convert the following numbers into scientific notation: a) 0.0000000000245 _______________ b) 890000000 ______________ 12. Add the following polynomials: a) 9z^{8} + 2z^{5} + 4z^{2} + 2 and 5z^{8} + 6z^{5} + 4z^{2} + 1z^{} + 8 b) z^{6} + 5z^{4} + 10z^{3} + 7 and z^{6} + 8z^{4} + 4z^{3} − 8 13. Multiply the following polynomials and simplify a ) 4x^{3}( 2x^{2} + x − 5) _______________ b) (4x^{3} + 4x )( 2x^{2} + x − 5)_________________ 14. Divide: x^{3}  6x^{2} + 5x  30 / x  6 ________________ 15. Find the greatest common factor of the following expressions: a) 15, 30 b) 15x^{3}, 30x^{2} 16. Factor the following polynomials a) 12x^{2} + 24x^{3} +  18x ________________ b) x^{2} − 3x − 18 ________________ c) x^{6} + 13x^{5} + 42x^{4} _________________ 17. For question 16, exercises b) and c), solve for x b) x = ___________ and ____________ c) x = ___________, _____________, and, _______________ 18. How many ways can you and 3 other friends sit on 4 chairs? _____________ 19. Use the following data to construct a box and whiskers plot: 12, 5, 2, 20, 7, 24, 10, 21 20. Solve and graph the following inequality: 2x + 5 > 12 A bag contains 2 blue balls, 5 red balls, and 3 white balls. You pick a ball from the bag and put in your pocket. What is the probability of picking: a) a white ball?_______________ b) a blue ball or a red ball? _______________ c) two red balls? ________________ d) a blue ball and a white ball 21. Solve and graph the following systems of linear equations: a) x + y = 9 x − y = 7 b) 4x  3y = 10 8x + 5y = 10 22. Write the following fractions in simplest form: a) (25x^{6} 36 z^{7}) / (50x^{8} 6z^{5}) b) (x^{6} + 13x^{5} + 42x^{4}) / x^{3} (x + 6) 23. Solve the equation below: two different ways. First, solve using the quadratic formula: Second, solve it by completing the square x^{2} = 3x + 10 24. Convert the following repeating decimal into a fraction x = 1.01255555555555 25. Solve the following equation: 3  √(x  2) = 1 26. Rationalize the denominator of each fraction below: a) 2 / √( 5) b) 4 / (√( 5)  2) 27. Use a trigonometric ratio to find x: 28. The sum of two consecutive even integers is 18. What are the integers? (Hint: use 2x as the first even integer) The integers are _______________ and ________________ 29. After you leave your house, you walk 10 blocks east and 6 blocks south. How far are you from your house? I am __________________ blocks from my house 30. The length of a rectangle is two more than the width. The area is 35. Find the length and the width (Hint: Let x be the width). Width = ______________ length = ___________________ To print this algebra practice test, Click here This algebra practice test is an attempt to measure most skills taught in algebra. Keep in mind that this algebra practice test is not an exhaustive list However, if you can answer most question confortably, you have definitely mastered most important skills taught in algebra. If you struggle with this test, you can purchase a very Detailed 32 PAGES SOLUTION and TOPNOTCH EXPLANATIONS with PayPal (Only 6.99!) function EJEJC_config (){} The solution will not only show you how to do the problems, but it will also teach you lots of important algebra concepts that will help you succeed in algebra. Who should definitely master this algebra practice test:
This algebra practice test should take about 3 hours or 4 hours to complete Check also this basic algebra test K12 tests Math tests for elementary students Kindergarten math test First grade math test Second grade math test Third grade math test Fourth grade math test Fifth grade math test Sixth grade math test Seventh grade math test Eighth grade math test Want more worksheets? Check Basic mathematics worksheets 




