Honors Algebra 1; Review for the final
65. -x-7y= 20 (use elimination) -8x-6y= 10
(1,-3)
51. Write the slope intercept form of the equation of the line described. through:(3,-4), parallel to y=-1/3x-4 a. y=3x-1/3 b. y=-3x-1/3 c. y=-1/3x-3 d. y=-1/3x+3
C
66. 4x+4y= 16 (use substitution) x+5y= 16
(1,3)
64. 12x+y= 27 (use elimination) -2x-8y=-28
(2,3)
67. -x-8y= 5 (use substitution) 7x+y= 20
(3,-1)
68. y = -x + 3 (use substitution) x + y = -1
(4,1)
10. |n| - |8+p|; use n=2, and p=6
-12
11. p+m-p2( to the power)/3; use m=9, and p=9
-21
9. pn*n/5-p; use n= -5, and p= -9
-36
73. Write an equation of a line, in standard form, that is ⊥ to y=3/2x + 6 and passes through (8,-6).
3x-2y=12
17. 3/2-(2 1/5- 5/3) a. 29/30 b. 163/60 c. 209/30 d. 59/30
A
20. 8.6+n=2.9 a. {-5.7} b. {-2.64} c. {-14.3} d. {-7.66}
A
21. x+8.6= -9.2 a. {-17.8} b. {-11.1} c. {-0.6} d. {-13.6}
A
25. An alcohol solution I was made by mixing 2 fluid ounces of a 5% alcohol solution and 7 fluid ounces of a 50% alcohol solution. Find the concentration of the new mixture. a. 40% b. 60% c. 26% d. 62%
A
27. 23+k=-1-8(-3-3k) a. {0} b. {-8} c. {7} d. {9}
A
33. From 78 to 13 a. 83.3% decrease b. 83.3% increase c. 500% increase d. 43.5% decrease
A
36. -8(5x-4)<352 a. x>-8 b. no solution c. x>2 d. x<2
A
4. 9(9n-9)-1 a. 81n - 82 b. 81n-74 c. 91n-74 d. -2-10n
A
45. (3,-9) and (x,5); slope -7/4 a. -5 b. -9 c. 0 d. -4
A
46. (x,6) and (3,-1); slope: -7/10 a. -7 b. 4 c. 8 d. -4
A
62. -8|-8p+6| ≤-80 a. p ≤-1/2 or p ≥ 2 b. 1 ≤ p< 7 c. 0 ≤ p≤ 5 d. -1 ≤ p≤ 9
A
8. 5+4(p+1) a. 9+4p b. -17p+18 c. -17p+19 d. -24p+6
A
38. Micaela and Bill each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Micaela spent $61 on 7 daylilies and 8 pots of ivy. Bill spent $22 on 4 daylilies and 2 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy.
A daylily costs $3 and a pot of ivy costs $5.
18. 3 1/3- 1 4/5 divided by 5 a. 23/75 b. 223/75 c. 298/75 d. 193/75
B
23. x+10.2=16.7 a. {-18.6} b. {6.5} c. {-8.8} d. {18.39}
B
26. 84=7(2v-2) a. {12} b. {7} c. {-2} d. {-8}
B
37. 8(6-2x) ≤ 128 a. x ≤ -5 b. x ≥ -5 c. x ≤ -22 d. x ≤ -24
B
41. h(n)=-2n+2; find h(7) a. -6 b. -12 c. 22 d. -14
B
44. (0,19), (13,-16) a. 13/35 b. -35/13 c. -13/35 d. 35/13
B
49. Write the slope intercept form of the equation of the line through the given point with the given slope. through: (4,-2), slope=-7/4 a. y=5x+1/4 b. y=-7/4x+5 c. y=-5x+1/4 d. y=1/4x+5
B
52. Write the slope intercept form of the equation of the line described. through:(-1,-4), perp. to y=4x-5 a. y=-17/4x+ 3/4 b. y=3/4x- 17/4 c. y=1/4x- 17/4 d. y=-1/4x- 17/4
B
56. 162≥ 2-8(-6a+4) a. a ≤8 b. a ≤4 c. a ≤-8 d. a ≤-9
B
58. n-5-6n ≥-15 a. n ≥2 b. n ≤2 c. n ≥ -26 d. n ≥ -34
B
61. -4n+1 ≤ -15 or 10-8n>82 a. n ≤-8 b. n ≥ 4 or n < -9 c. n ≥7 d. n ≥ -4
B
1. the z power of 12 is equal to 8 a. z + 12= 8 b. z - 12= 8 c. 12 to the power z =8 d. z to the power of 12 is ≤ to 8
C
19. 5n-8=87 a. {-9} b. {23} c. {19} d. {-17}
C
22. -9.8= b/14.3 a. {17.6} b. {4.5} c. {-140.14} d. {-14.6}
C
28. -5(3k-4)=-7k+36 a. {-12} b. {12} c. {-2} d. {-16}
C
3. -q - 8 + 4p; use p= -5, and q= -1 a. -22 b. -20 c. -29 d. -19
C
32. From 58 to 83 a. 30.1% increase b. 25% increase c. 43.1% increase d. 143.1% increase
C
35. A cargo plane left Sydney at the same time as an Air Force plane. The planes flew in opposite directions. The Air Force plane flew at a speed of 455 mph. After four hours they were 2760 miles apart. How fast did the cargo plane fly? a. 300 mph b. 120 mph c. 235 mph d. 140 mph
C
47. If y varies directly as x and x=45 when y=90, find x when y is 70. a. 30 b. 140 c. 35 d. 25
C
57. 0<7a-2a a. a <0 b. a <-33 c. a >0 d. a <-27
C
59. 1-2n+2n>1 a. n ≥ -10.9 b. n ≥ -14.5 c. No solution d. n ≥ -21.1
C
60. 1-6n<37 and n+5>9 a. n<3 b. -7<n<-2 c. -6<n<4 d. n<4
C
63. |-1-6x|-5 ≥ 6 a. x ≤-4 or x ≥9 b. -4 ≤ x≤ 9 c. x ≤-2 or x ≥ 5/3 d. -10 ≤ x ≤ 10
C
16. 2(2-1) a. 1 b. 8 c. 0 d. 2
D
24. k/3.6= -5.8 a. {-9.4} b. {-2.2} c. {-18.422} d. {-20.88}
D
29. 34-4p=2(p+8) a. {-8} b. {-10} c. {8} d. {3}
D
30. 8/3=x/6 a. {5.5} b. {2.3} c. {-1.3} d. {-18.6}
D
31. 2/k+11= 7/k-8 a. {8} b. {7.3} c. {-1.3} d. {-18.6}
D
34. zmx= x+y, for x a. x= -zm+1/ y b. x= y-zm+1 c. x= y/ -zm+1 d. x= y/ zm-1
D
40. Find the inverse of {(-2,4),(5,7),(-1,4)} a. {(-4,2),(7,5),(4,-1)} b. {(4,-2),(-7,-5),(4,-1)} c. {(4,2),(7,5),(4,-1)} d. {(4,-2),(7,5),(4,-1)}
D
42. Find the common difference for the arithmetic sequence. 21,25,29,33,... a. d=3 b. d=1 c. d=2 d. d=4
D
43. (6,14), (-18,-11) a. -25/24 b. 24/25 c. -24/25 d. 25/24
D
48. Write the slope intercept form of the equation of each line given the slope and Y intercept. Slope=4, y intercept=-2 a. y=4x-3 b. y=-2x+4 c. y=-3x+4 d. y=4x-2
D
5. Find the solution of the equation if the replacement set is {0,1,2,4,5}' 3x+5=17 a. 1 b. 2 c. 5 d. 4
D
50. Write the standard form of the equation of the line through the given points. through:(0,-2) and (2,2) a. x+2y=-2 b. x+10y=-2 c. x+10y=30 d. 2x-y=2
D
7. 6(-3-8v)+8 a. -18-44v b. -18-48v c. -18-45v d. -10-48v
D
54. The number one is the multiplicative inverse. True or False
False
74. y=3/4x-7 is ⊥ to -3x-4y=40 True or False
False
75. The domain for the equation y=√x is all real numbers True or False
False
39. When you reverse the digits in a certain two-digit number you increase its value by 18. Find the number if the sum of its digits is 14.
The # is 68.
71. Three times one number added to five times a second number is 68. Three times the second number minus four times the first number is 6. What are the two numbers?
The numbers are 6 and 10.
70. A boat traveled 200 miles downstream and back. The trip downstream took 10 hours. The trip back took 50 hours. What is the speed of the boat in still water? What is the speed of the current?
The speed of the boat is 12 mph. The speed of the current is 8 mph.
53. In a function there is exactly one output for each input true or false
True
55. 10v+9>-21 a. v>-3 b. v<-3 c. v>-44 d. v>-7
a
2. The sum of a number and 8 is 35 a. n to the 3 power =35 b. n + 8= 35 c. 8 - n= 35 d. n to the 8th power =35
b
72. x + 3y < 9 x + 3y ≥ -6 solve for y, Sketch on scrap paper
check Symbolab
14. 8(m-7)=-2(m-7)
m=7
6. Name the property used in the equation. Then find the value of n: 4+(7-n)=(4+7)- n
n= all real numbers associative property
69. y = 2x - 7 (use substitution) 3x - 4y = 8
no solution
13. 10-5(1-4p)=5(4p+10)
p= no solution
12. -(9-4v)=12v-(9+v)
v=0
15. |-10-4x| /6= 3
x= -7 x= 2