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Algebra 1

Review Packet

Evaluate the expression. (Chapters 1 and 2)

1. 789 - (-7)2 - 102 2. 9 - 42 + (-5)3 ÷ 25 3. 8(3 - 4) + 2

62

[1]________________ [2]____________________ [3]______________

4. [pic] 5. Simplify. 6. Simplify.

-2(6 - k) -x(4 - x) + x2

[4]________________ [5]________________ [6]______________

Solve the following equations. (Chapter 3)

7. x = 8 8. -7n + 12 + 5n = 22

7

[7]______________________ [8]_______________________

Solve the following equations. (Chapter 3)

9. 5x + 14 - 2x = 9 - (4x + 2) 10. 3.2x – 2.1 = 4.4

[9]______________________ [10]_______________________

11. Rewrite the equation in terms of b. A = ½bh

[11]____________________________

Use your knowledge of slope and graphing to answer the following questions. (Chapter 4)

12. Which of the following relationships has a slope of -2/3? [12] _______

A. 3x + 2y = 12 D.

B. y = 3/2x + 5

C. (8, -7) and (11, -5)

13. Find the x- and y-intercepts of x - 4y = -14.

[13] x-intercept_______

y-intercept_______

Graph the following equations.

14. y = -9x + 5 15. 8x - 3y = 24

16. X and y vary directly. y = -20 when x = 8. What is y when x = -3?

[16]_______________________

17. f(x) = x2 - 3x + 7. Evaluate the function when x = -2.

[17]_______________________

Writing the Equations of Lines (Chapter 5)

18. Write the equation of a line in standard (general) form that has a slope of -¾ and passes through (-5, 2).

[18]____________________________

Writing the Equations of Lines (Chapter 5)

19. A line passes through two points, (3, 0) and (-3, 5). Please find the following:

Slope:___________________________

Point-intercept form:___________________________

Slope-intercept form:___________________________

Standard Form (General Form):___________________________

x-intercept:___________________________

y-intercept:___________________________

The slope of a line that’s parallel:___________________________

The slope of a line that’s perpendicular:___________________________

Graph:

20. Write the equation of a line in slope-intercepts form that has undefined slope and passes through (-6, 7).

[20]_____________________________

21. Convert [pic] from slope-intercept form to standard (general) form.

[21]_____________________________

Inequalities (Chapter 6)

# 22 – 24: Solve and graph the following inequalities.

22. (y + 12) >2(18 – y)

[22]______________________________

23. 9 – 4x > 15

[23]______________________________

24. 9 < 2x + 6 < 21

[24]_______________________________

25. Solve the absolute value equation.

| ¼x – 5 | = 7

[25]_______________________________

26. Graph the linear inequality. y > 2x + 3

Systems (Chapter 7)

Solve the following system. Leave your answers as ordered pairs, no solution or infinite solutions.

27. 2a = 18

a + 3b = 14

[27]_________________________________

28. 3x + y = 7

2x – y = 8

[28]_________________________________

29. 5x – 3y = 9

-10x + 6y = 27

[29]________________________________

30. x + 2y = 8

y = -½x + 4

[30]________________________________

Graph to find the solution of the system?

31. y = 2x + 3 32. x – y = -4

y = 4x – 3 x – y = 5

[31]_________________________ [32]_____________________________

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