Unit 1 Study Guide

1. 8 more than a number, n.

2. The product of a number, x, and 12.

3. 15 less than twice a number, y.

4. The quotient of a number, c, and 4, increased by 1.

5. The sum of a number and 5, all divided by 2.

6. Twice the difference between a number squared and 7.

7. From the sum of 10 and a number, subtract the product of 3 and that same number.

8. A phone plan costs $40 plus $0.10 for every text message 't' over the limit. Write an expression for the total cost.

9. Evaluate 3a + 5 when a=6.

10. Evaluate y4 when y=20.

11. Evaluate 5x - 2y when x=4 and y=3.

12. Evaluate m² - 7 when m=5.

13. Evaluate 10(b-1) + 6 when b=3.

14. Evaluate a² + 2b - c when a=3, b=5, and c=8.

15. Evaluate 4(x+1)y-1 when x=7 and y=4.

16. Evaluate -2(w - 3z) + 5 when w=10 and z=-1.

17. Simplify: y⁴ · y⁷

18. Simplify: x⁹x³

19. Simplify: (4a³)(5a³)

20. Simplify: 18m¹⁰3m²

21. Simplify: (a⁴)⁵

22. Simplify: (2a²b⁵)(3a³c)

23. Simplify: (4x³)(6x⁵)8x²

24. Simplify: (c⁴)³ · c²

25. Simplify: 10x + 4 - 3x

26. Simplify: 5y + 8a - 2y + a

27. Simplify: 7(m - 3)

28. Simplify: -4(2x + 5)

29. Simplify: 10 + 3(y + 2)

30. Simplify: 5(a+b) - 2(a-b)

31. Simplify: 9x - (4x - 3) + 2

32. Simplify: 12(8m + 4) - 3m