Are You suprised
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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-2
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-6
4
6
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0
-2
-4
-6
4
6
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0
-2
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-6
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6
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0
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