Review for Final Exam Algebra I ...
Review for Final Exam Algebra I
Name___________________________________
Evaluate the expression. On Final no calculators will be used on #1 – 8. 1. 12(6 – 3.5)2 – 1.5
3. 4x3 – 8x when x = 2
(73.5)
2.
(16)
4. – √
(
)
(-13)
Find the sum, difference, product or quotient. 5. -18 + (-23) + 47 – (-7)
(13)
6. -15 – 28 + (-4)
7. -18
(-36)
8. (6a2 – 8a + 24) + (7a2 + 20a)
(-47)
(13a2 + 12a + 24)
9.
10. (b3 – 4b2 + 8b – 1) – (3b3 + 11b) (-2b3 -4b2 -3b -1)
(15/2)
11. (4c – 2)(3c + 6)
(12c2 +18c – 12)
12. (8d + 5)(8d – 5)
(64d2 – 25)
13. Find the mean, mode, median and range of the following numbers: -8, 6, 7, -4, 15, 8, -7, 7
Mean 3
mode 7
median 6.5
range 23
Solve the equation. 14.
- 6 = 34
(200)
15. 3(x + 6) = - (-3x-13x + 16)
(22)
Identify the slope and y intercept of the line given with the given equation. 16. y =
x-3
(m = -4/9, y int -3)
17. 8x + 2y = 10
(m = -4, y int 5)
Write an equation in slope intercept form of the line that passes through the given point and has the given slope m. 18. (5, -1); m = -2
(y = -2x + 9)
Graph the equation or inequality. 19. 2x + 5y = -5
20. 2y – 3x
-8
Solve the inequality, if possible. Graph your solution. 21. 4(x + 2) < 5(2x - 2)
22. -15 ≤ 5(3p – 2) < 20
Solve the linear system. 23. -5x – 6y = 8
(2, -3)
5x + 2y = 4
Graph the system of linear inequalities. 25. Y 6
24. x + 3y = 1 5x + 6y = 14
(4, -1)
Simplify the expression. Write your answers using only positive exponents. 26.
(712)
27. ( )
(
29. Write 0.00000168 in scientific notation.
) 28.
(
)
●
(
)
(24a)
(1.68 x 10-6)
Factor the polynomial. 30. 8x2 +14x + 3
(x = -1/4, x= -3/2)
31. 2c2 + 5c + 2
(x = -1/2, x = -2)
Solve the equation. Round the solutions to the nearest hundredth, if necessary. 32. 8x2 – 17 = 0
34. 4x2 + 7x + 2 = -2x2 + 2x + 6
(
)
(x = -4/3, x = ½)
33. –x2 + 12x - 35 = 0
(x = 5, x = 7)
35. 8x2 - 30x + 27 = 2x2 –x – 1 (x = 4/3, x = 7/2)
Simplify the expression. (7y3√ )
36. √
38.
(
√
√
37. √
√
(24x√
)
Solve the equation. Check for extraneous solutions. 39. √ – 7 = 0
Check:
=√
40. √
(x = 49)
Check:
(x = 9)
Given that y varies inversely with x, use the specified values to write an inverse variation equation that relates x and y. Then find y when x = 2. 41. x = 3, y = 7
42. X = -12 , y = -13
(Y=
(y =
, y = 10.5)
, y = 78)
)
Divide 43. (6x2 + 7x – 3)
(3x - 1)
(2n + 3)
44. (x2 +9 x +6)
(x+ 6) (x + 3 +
)
Solve the equation. Check your solution. 45. =
( y = -1 ½)
46.
+1=
(x = 2)
47. The price in dollars of several books are 14, 15, 9, 19, 21, 29, 12, 25, 10, 8, 15, 13, 15, 20. Make a stem and leaf plot of the scores.
48. Make a box and whiskers plot of the scores 8, 9, 10, 12, 13, 14, 15, 15, 15, 19, 20, 21, 25, 29.
Word Problems. 49. The ship model kits sold at a hobby store have a scale of 1 ft : 600 ft. A completed model of the Queen Elizabeth II is 1.6 feet long. Find the length of the actual ship. (960 ft)
50. 36% of the radio listeners are tired of the #1 song. How many of the 250 listeners are tired of the song? (90)
51. An amusement park charges $90 to ride 36 rides. It charges $49.50 to ride 18 rides. Find the cost per ride. Which way costs less per ride?
(2.5 per ride, 2.75 per ride, cheaper to buy $90) 52. A right triangle has one leg that is 2 inches longer than the other leg. The length of the hypotenuse is √
inches. Find the length of the legs.
(7 in., 9 in.)
53. Graph the function y = x2 - 5. Label the vertex and axis of symmetry.
54. Graph the function y =
+ 4. Label the asymptotes.
15. 25.
16.
47.
48.
0 8 9 1 0 2 3 4 5 5 5 9 2 0 1 5 9
8
12
15
20
29
53. Vertex (0, -5) Axis of symmetry x = 0 Two points on the graph (-1, 4), (1, -4)
54. Asymptotes X=3 Y=4
Name___________________________________
Evaluate the expression. On Final no calculators will be used on #1 – 8. 1. 12(6 – 3.5)2 – 1.5
3. 4x3 – 8x when x = 2
(73.5)
2.
(16)
4. – √
(
)
(-13)
Find the sum, difference, product or quotient. 5. -18 + (-23) + 47 – (-7)
(13)
6. -15 – 28 + (-4)
7. -18
(-36)
8. (6a2 – 8a + 24) + (7a2 + 20a)
(-47)
(13a2 + 12a + 24)
9.
10. (b3 – 4b2 + 8b – 1) – (3b3 + 11b) (-2b3 -4b2 -3b -1)
(15/2)
11. (4c – 2)(3c + 6)
(12c2 +18c – 12)
12. (8d + 5)(8d – 5)
(64d2 – 25)
13. Find the mean, mode, median and range of the following numbers: -8, 6, 7, -4, 15, 8, -7, 7
Mean 3
mode 7
median 6.5
range 23
Solve the equation. 14.
- 6 = 34
(200)
15. 3(x + 6) = - (-3x-13x + 16)
(22)
Identify the slope and y intercept of the line given with the given equation. 16. y =
x-3
(m = -4/9, y int -3)
17. 8x + 2y = 10
(m = -4, y int 5)
Write an equation in slope intercept form of the line that passes through the given point and has the given slope m. 18. (5, -1); m = -2
(y = -2x + 9)
Graph the equation or inequality. 19. 2x + 5y = -5
20. 2y – 3x
-8
Solve the inequality, if possible. Graph your solution. 21. 4(x + 2) < 5(2x - 2)
22. -15 ≤ 5(3p – 2) < 20
Solve the linear system. 23. -5x – 6y = 8
(2, -3)
5x + 2y = 4
Graph the system of linear inequalities. 25. Y 6
24. x + 3y = 1 5x + 6y = 14
(4, -1)
Simplify the expression. Write your answers using only positive exponents. 26.
(712)
27. ( )
(
29. Write 0.00000168 in scientific notation.
) 28.
(
)
●
(
)
(24a)
(1.68 x 10-6)
Factor the polynomial. 30. 8x2 +14x + 3
(x = -1/4, x= -3/2)
31. 2c2 + 5c + 2
(x = -1/2, x = -2)
Solve the equation. Round the solutions to the nearest hundredth, if necessary. 32. 8x2 – 17 = 0
34. 4x2 + 7x + 2 = -2x2 + 2x + 6
(
)
(x = -4/3, x = ½)
33. –x2 + 12x - 35 = 0
(x = 5, x = 7)
35. 8x2 - 30x + 27 = 2x2 –x – 1 (x = 4/3, x = 7/2)
Simplify the expression. (7y3√ )
36. √
38.
(
√
√
37. √
√
(24x√
)
Solve the equation. Check for extraneous solutions. 39. √ – 7 = 0
Check:
=√
40. √
(x = 49)
Check:
(x = 9)
Given that y varies inversely with x, use the specified values to write an inverse variation equation that relates x and y. Then find y when x = 2. 41. x = 3, y = 7
42. X = -12 , y = -13
(Y=
(y =
, y = 10.5)
, y = 78)
)
Divide 43. (6x2 + 7x – 3)
(3x - 1)
(2n + 3)
44. (x2 +9 x +6)
(x+ 6) (x + 3 +
)
Solve the equation. Check your solution. 45. =
( y = -1 ½)
46.
+1=
(x = 2)
47. The price in dollars of several books are 14, 15, 9, 19, 21, 29, 12, 25, 10, 8, 15, 13, 15, 20. Make a stem and leaf plot of the scores.
48. Make a box and whiskers plot of the scores 8, 9, 10, 12, 13, 14, 15, 15, 15, 19, 20, 21, 25, 29.
Word Problems. 49. The ship model kits sold at a hobby store have a scale of 1 ft : 600 ft. A completed model of the Queen Elizabeth II is 1.6 feet long. Find the length of the actual ship. (960 ft)
50. 36% of the radio listeners are tired of the #1 song. How many of the 250 listeners are tired of the song? (90)
51. An amusement park charges $90 to ride 36 rides. It charges $49.50 to ride 18 rides. Find the cost per ride. Which way costs less per ride?
(2.5 per ride, 2.75 per ride, cheaper to buy $90) 52. A right triangle has one leg that is 2 inches longer than the other leg. The length of the hypotenuse is √
inches. Find the length of the legs.
(7 in., 9 in.)
53. Graph the function y = x2 - 5. Label the vertex and axis of symmetry.
54. Graph the function y =
+ 4. Label the asymptotes.
15. 25.
16.
47.
48.
0 8 9 1 0 2 3 4 5 5 5 9 2 0 1 5 9
8
12
15
20
29
53. Vertex (0, -5) Axis of symmetry x = 0 Two points on the graph (-1, 4), (1, -4)
54. Asymptotes X=3 Y=4
