Name ______________________________________________ Class Pd: ________

Algebra 2 – Chapter 1 Test Review

Study Guide Evaluate each expression for the given values of the variables.

1. Evaluate 4 10x y for 3x and 25y 2. Evaluate 28 5x y for 3x and 4y

Solve the literal equation (formula) for the indicated variable. 3. Solve for x 4. Solve for w 5. Solve for m

2 7 20x y 21

4V h w 25 15C m

Solve each equation.

6. 4.2x + 6.4 = 40 7. 4.5(x + 1) - 2 = 4(x + 3) 8. 9x + 2 2x = 3x + 94

9. 3 1

2 74 2

x x 10. 2 4 1

9 7 6x 11. 4(6x – 5) = 23 – 3(8x + 1)

12. 5 3 2

6 8 3x 13. 2(x – 4) + 3 = 3x – 5 14. 3x – 5(x + 2) = 0.5(2x + 8)

Solve each equation.

15. 11 42x 16. 3 6 36x

17. |𝑦 − 5| + 8 = 1 18. 5 2 8 20x

Solve each inequality. Graph the solution on a number line. 19. |𝑦 − 9| ≤ 3 20. 2|5𝑛 − 11| > 8

21. |3𝑛 + 11| − 1 ≥ 0

Simplify the following square roots. Write in simplest radical form.

22. 45 23. 200 24. 5 18 25. 2 147

26. 6

11 27.

4

5 28.

5

7

Multiply and simplify.

29. 8 10x x 30. 5 22x x 31. 2

4x

32. 2

2 3x 33. 22 3 7x x x 34. 23 5 2 3x x x