Algebra Basics: Quiz Review

Mixed Practice Worksheet

Name: _________________________

Date: __________________________

Part 1: Translating Words into Math

1. The sum of a number and 15.

2. The product of 8 and a number, y.

3. 9 less than a number, x.

4. The quotient of a number squared and 3.

5. Twice a number decreased by 4.

6. 10 subtracted from a number, c.

7. The product of 5 and the sum of a number and 2.

8. A painter charges $25 per hour. Write an expression for the cost of 'h' hours.

Part 2: Evaluating Expressions

Evaluate each expression for the given values of the variables.

9. x + 12 when x=5

10. 3y - 4 when y=6

11. a2 + b when a=4 and b=10

12. m3 + 1 when m=15

13. 5(c-2) when c=7

14. 2w + 3z when w=8 and z=2

Part 3: Working with Exponents

Simplify each expression using the laws of exponents.

15. x5 · x3

16. a2 · a9

17. y10y4

18. c8c

19. (3m4)(5m2)

20. 12b76b2

Part 4: Simplifying Expressions

Simplify each expression by combining like terms and/or using the distributive property.

21. 5x + 9 + 2x

22. 10y - 4 - 3y + 6

23. 4(a+6)

24. -3(m-2)

25. 5(x+3) + 2x

26. 8 + 2(y-4)

Part 5: Mixed Review Challenge

27. Translate "8 less than twice a number," then evaluate the expression when the number is 10.

28. Simplify the expression 4(2x-1) - 3x, then evaluate the result when x=3.