So I have received the answer key, but I need to check my work
So I have received the answer key, but I need to check my work. I need the problems broken step by step?
1. Given the points (-6, 1) and (2, 4) find the slope of the line that connects these points
a) -3/8
b) 8/3
c) -4/3
d) 3/8
e) -5/4
2. Solve the system
a) The value of y = -5
b) The value of y is 30
c) The value of y is 5
d) The value of y is -10
3. Find the center and radius of the circle given this equation:
(x – 1)² + (y – 5)² = 36
Center = ______1,5________ and Radius = ______6___________
4. Given the equations of the lines
(I) 2y + 3x = 3
(II) -3y – 2x = 5
(III) -6y + 4x = 9,
(IV) 2y + 6x = 9
which two lines are perpendicular?
A) (I) and (II)
B) (II) and (III) Lines that are perpendicular have the same slope
C) (III) and (IV)
D) (I) and (III)
E) (IV) and (II)
5. If f(x) is a linear function such that f(-1) = 11 and f(2) = 5,
then f(0) =
A) 5
B) 6
C) 7
D) 8
E) 9
6. The scatter plot below shows the weights in ounces of several kittens at various ages. What is the best equation of the trend line through these points?
A) y = 10x
B) y = 4x
C) y = 1/4x + 10
D) y = 4x + 10
7. What is the graph of the equation 5x – 2y = 6?
A)
B)
C)
D)
8. What is the equation of the graph?
A) y = -|x| – 5
B) y = -|x -5|
C) y = |x + 5|
D) y = |x – 5|
9. What is the slope of the line through the points P(-5, -6) and Q(-12, 5)?
A) -11/7
B) 17/11
C) – 11/17
D) 11/17
10. What is the point-slope equation of the line through the point (-5, 5) that is perpendicular to the line whose equation is 5x = 3y?
A) y – 5 = 5/3(x + 5)
B) y – 5 = -3/5(x + 5)
C) y – 5 = 3/5(x + 5)
D) y – 5 = -5/3(x + 5)
11. What is the graph of y = |3x + 6|?
A)
B)
C)
D)
12. Find f(-5) if f(x) = -8x – 1
A) 39
B) -41
C) -39
D) 12
13. Evaluate the following functions: Given f(x) = 3x + 20, find f(- 4)
F(-4) = 3-(4) +20=-12 f(4) =8
14. What is the equation of a circle of radius 6 units centered at (3, 2)?
x2 + y2 + 6x – 4y = 23
x2 + y2 – 6x + 4y = 23
x2 + y2 + 6x + 4y = 23
x2 + y2 – 6x – 4y = – 23
x2 + y2 – 6x – 4y = 23
15. If you have a right triangle that has one leg being 21 units and the other leg being 72 units, what would be the number of units for the hypotenuse?
___________75_______________
16. What is the slope of the line that contains the given pairs of points (-11, 7) and (15, -3)?
______m-5/13
17. What is the slope of a roof on a house that has a vertical height of 2.4 feet from the ceiling of the top floor to the top of the pitch and a length of 8.2 feet from the center to the edge of the house?
_____3.42______________________
18. Determine whether the graphs of the equations are parallel? y = 2x + 7 and 5y + 10x = 20
A) Yes
B) No
19. Determine whether the graphs of the equations are perpendicular lines?
y = -8 + x and x – y = -1
A) Yes
B) No
20. Determine whether the graphs of the equations are parallel, perpendicular or neither? 5y + 50 = 4x and 4y + 5x = 12
A) Parallel
B) Perpendicular
C) Neither
21. Solve
a) x
5
b) x – 3
12
c) x² – 3
5x + 7
d) x + 3
5
22. Solve 4(x – 1) – (5x + 1) > 2x + 1
a)
b) x > -2
c) x -1
e) x 2
a) x > 2 or x <
b)
c) or x < -2
d)
e)
25. Solve
a)
b)
c)
d)
26. Solve for x:
a) x = 3/2
b) x = 1/4
c) x = 1
d) x = 3
e) x = -1
27. If x2 – 8x – 4 = – 5 then
a) x = -11, 19
b)
c)
d) No real roots.
28. Solve for x:
a)
b)
c)
d)
e) None of these
29. Which of the following correctly completes the problem?
Solve for x: 2(x – 1) + 3 = 5
a) x = 3
b) x = 3/2
c) x = 5
d) x = 2
30. Which of the following expressions represents the product of two less than a number and three more than twice the number?
a) 2x² – x – 6
b) -2x² + x + 6
c) 2x² + x – 6
d) 2x² – x + 3
e) -2x² + x – 3
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