NAME: __________________________ REVIEW # 1
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1. Evaluate and round to two decimal places: 2.5[4(-2.3)2 –
11(-0.25)3] |
2. Evaluate:
a3 – a2b
+ ab2 – b3, where a = -3 and b = 5 |
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3. What are the possible remainders when an
integer n is divided by 9? |
4. Give the formula for each of the following: a)
distance formula b)
midpoint formula c)
slope formula |
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5. What is the standard form of a circle?
Explain what the constants stand for. |
6. Solve the absolute value equation |3x – 5| = 12 |
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7. Simplify:
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8: Simplify:
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9. Solve:
3(4 – x) = 2x |
10. Solve:
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11. Solve:
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12. Solve and draw a number line graph of the
solution set: 3(2x – 1) < 8 |
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13. Solve:
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14. Solve:
½ (2x – 3) – 2x > 3(4 – 3x) |
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15. Factor completely: 9x2- 1 |
16. Factor completely: 3x3 – 16x2 + 5x |
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17. What is the slope of a line through the
points (5, - 2) and (-8, 11)? |
18. Write an equation of
a line in slope intercept form with slope 5 and y-intercept of 10. |
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19. Write an equation of a line going through the point (6,5) and
having a slope of 3/4 . Write in point
slope form. |
20. Explain how to tell if two lines are (a)
parallel or (b) perpendicular. |
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21. What are the x and y intercepts of the line
given by 4x – 5y = 20? |
22. Write the equation of a line through the
point (6, 5) and parallel to the line y = 4x – 2. |
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23. Solve for y: 2x – 3y = 8. |
24. Solve for y: 3( 2x – y) – 5(x+ 2y) = 8 |
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25. Write an equation of a line perpendicular
to the line 2x + 3y = 6 and having the same y-intercept as the line 4x – 5y =
20. |
26. Solve by taking the square root of both
sides:
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27. Solve by using the quadratic formula: 3x2 – 4x = 2
(simplify) |
28. Solve by completing the square: X2 – 8x + 3 =
0 |
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29. Solve by completing the square: 3x2 -12x + 15
= 0 |
30. When you graph a quadratic how can you find
the roots of the quadratic? |
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