Quiz about MATH - HW SHEET 28

Question 1

what is the slope of the following 12x - 6y = 30

Accepted Answer

2

Answer

-2

Answer

12

Answer

-12

Question 2

Determine the slope and y-intercept from the following equation:   4x + y = -10

Accepted Answer

slope: -4   y-intercept:  (0,-10)

Answer

slope: 4   y-intercept:  (0,10)

Answer

slope: -4   y-intercept:  (0,10)

Answer

slope: 4   y-intercept:  (0,-10)

Question 3

Write the equation of the line represented by this table.

Accepted Answer

y= 3x+5

Answer

y = -3x + 5

Answer

y= 8x - 1

Answer

y = 3x + 14

Question 4

Determine the slope.

Accepted Answer

-5

Answer

5

Answer

-1/5

Answer

1/5

Question 5

What is the equation of the linear function?

Accepted Answer

y = 3x + 16

Answer

y = -3x + 10

Answer

y = -3x + 16

Answer

y = 3x + 10

Question 6

Write the equation of the line.

Accepted Answer

y= -3x-3

Answer

y= -1x-3

Answer

y= -3x-1

Answer

y=-1/3x-1

Question 7

Which equation matches the graph? (Click me to see the image)

Accepted Answer

y = 1/4 x + 2

Answer

y = 2x

Answer

y = 1x + 4

Answer

y = -2x

Question 8

Write the equation for the line in slope-intercept form.

Accepted Answer

y= 4x+3

Answer

y= -1x+3

Answer

y=1/4x+3

Answer

y= -4x+3

Question 9

Identify the slope of the following graph.

Accepted Answer

Undefined

Answer

Positive

Answer

Negative

Answer

Zero

Question 10

Find the slope

Accepted Answer

-5/3

Answer

-3/5

Answer

5/3

Answer

3/5

Question 11

Find the slope:

Accepted Answer

4/3

Answer

3/4

Answer

-3/4

Answer

-4/3

Question 12

Find the slope of the line.

Accepted Answer

-1

Answer

-2

Answer

2

Answer

1

Question 13

Find the slope of the line that passes through:
(6,7) and (4,2)

Accepted Answer

5/2

Answer

2/5

Answer

-5/2

Answer

-1/2

Question 14

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

Accepted Answer

y +7 = -1/4(x - 4)

Answer

y - 4 = -1/4(x + 7)

Answer

y+ 7 = 4(x - 4)

Answer

y - 7 = -1/4(x - 4)

Question 15

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

Accepted Answer

y + 1 = -3(x + 2)

Answer

y + 1 = -3(x - 2)

Answer

y - 1 = 3(x - 1)

Answer

y + 2 = -3(x + 1)

Question 16

What is the point in the following equation?
y-4 = 1/5 ( x-3)

Accepted Answer

(3,4)

Answer

(1/5,0)

Answer

(-3,-4)

Answer

(4,3)

Question 17

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

Accepted Answer

(-4, 3)

Answer

(3, -4)

Answer

(-3, -4)

Answer

(-4, -3)

Question 18

Write the equation of the line shown in point slope form.

Accepted Answer

y - 4 = -3/5 (x - 4)

Answer

y - 7 = 3/5 (x - 0)

Answer

y - 0 = -3/5 (x - 7)

Answer

y + 4 = -3/5 (x + 4)

Question 19

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

Accepted Answer

y - 5 = -3(x - 10)

Answer

y= -3x + 35

Answer

y + 5= -3(x + 10)

Answer

y= -3x - 35

Question 20

Write the equation in slope-intercept form for the line that contains the points
(3, -5) and (5, - 1)

Accepted Answer

y = 2x - 11

Answer

y = 2x + 11

Answer

y = 2x + 1

Answer

y = 2x - 1

Question 21

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

Accepted Answer

y + 1 = -3(x + 2)

Answer

y + 1 = -3(x - 2)

Answer

y - 1 = 3(x - 1)

Answer

y + 2 = -3(x + 1)

Question 22

Slopes of parallel lines are...

Accepted Answer

identical.

Answer

opposite reciprocals.

Answer

opposites.

Answer

always 7.

Question 23

Slopes of perpendicular lines are...

Accepted Answer

opposite reciprocals.

Answer

opposites.

Answer

identical.

Answer

always 7.

Question 24

What is the slope of a line perpendicular to a line with slope ^-6/₅?

Accepted Answer

5/6

Answer

-6/5

Answer

-5/6

Answer

-4/3

Question 25

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 7 and m = -7

Accepted Answer

Neither

Answer

Parallel

Answer

Perpendicular

Question 26

Which two lines are parallel?

Accepted Answer

Line A and Line B

Answer

Line A and Line C

Answer

Line B and Line C

Question 27

Which two lines are perpendicular?

Accepted Answer

Line A and Line B

Answer

Line B and Line C

Answer

Line A and Line C

Question 28

Find the slope of a line perpendicular to the line below.
y = 2x + 4

Accepted Answer

-1/2

Answer

2

Answer

1/2

Answer

-2

Question 29

m= 7/8

Which slope is perpendicular?

Accepted Answer

m= -8/7

Answer

m= -8

Answer

m= -7/8

Answer

m= 7/8

Question 30

Are these two lines parallel, perpendicular or neither?

$$y=-\frac{1}{3}x\ -5$$
$$y=\frac{1}{3}x+2$$

Accepted Answer

Neither

Answer

Parallel

Answer

Perpendicular

Question 31

Are these two lines parallel, perpendicular or neither?

$$y=-\frac{1}{4}x+6$$
$$y=4x+2$$

Accepted Answer

Perpendicular

Answer

Parallel

Answer

Neither

Question 32

Are these two lines parallel, perpendicular or neither?

$$y=2x+7$$
$$y=2x+2$$

Accepted Answer

Parallel

Answer

Perpendicular

Answer

Neither

Question 33

What is the vertex?
y = -2x² + 4x + 3

Accepted Answer

(1, 5)

Answer

(0, 3)

Answer

(-1, 5)

Answer

(1, -5)

Question 34

What is the vertex?
f(x) = 2(x - 5)² + 12

Accepted Answer

(5, 12)

Answer

(-5, -12)

Answer

(5,-12)

Answer

(-5, 12)

Question 35

What is the axis of symmetry?
f(x) = x²- 8x + 15.

Accepted Answer

x = 4

Answer

x = -4

Answer

y = 4

Answer

y = -4

Question 36

Is the graph shown above a max or min?

Accepted Answer

Maximum

Answer

Minimum

Question 37

Does this parabola open up or down?

y = 4x² - 3x - 9

Accepted Answer

down

Answer

up

Question 38

What is the graph of this function: y = x²- 4x

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 39

What are the x- intercepts?

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Answer

y= 0

Answer

x= 2

Question 40

If each mark on the x-axis represents one second, when did the object reach its maximum height?

Accepted Answer

2.5 seconds

Answer

2 seconds

Answer

5.5 seconds

Answer

3 seconds

Question 41

If each mark on the x-axis represents one second, when did the object reach the ground?

Accepted Answer

5.5 seconds

Answer

2.5 seconds

Answer

6 seconds

Answer

5 seconds

Question 42

The object was thrown or launched from what position?

Accepted Answer

Above the ground

Answer

At the ground

Answer

Below the ground

Question 43

Graph the following equation:

y=x²-2x-3

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 44

Match the equation to its description.

Accepted Answer

Reflected over x-axis and shifted down 4

Answer

Reflected over x-axis and shifted up 4

Answer

Reflected over x-axis and shifted right 4

Answer

Reflected over x-axis and shifted left 4

Question 45

What is the vertex of the graph shown above?

Accepted Answer

(2,-1)

Answer

(7,6)

Answer

(-1,2)

Answer

(5,0)

Question 46

What is the axis of symmetry?
y = 3x²- 6x + 4

Accepted Answer

x=1

Answer

x=-6

Answer

x=2

Answer

x=-1

Question 47

What is the axis of symmetry for the equation y=-x²+4x+3

Accepted Answer

x=2

Answer

y=2

Answer

x=-2

Answer

y=-2

Question 48

What is the vertex for the quadratic equation

$$f\left(x\right)=x^2+\frac{1}{2}x-6$$ ?

Accepted Answer

$$\left(-\frac{1}{4},\ -\frac{97}{16}\right)$$

Answer

$$\left(\frac{1}{2},\ -\frac{11}{2}\right)$$

Answer

$$\left(-\frac{1}{4},\ -\frac{93}{16}\right)$$

Answer

$$\left(-\frac{1}{2},\ -6\right)$$

Question 49

What is the vertex for the quadratic equation

$$f\left(x\right)=2x^2-8$$ ?

Accepted Answer

$$\left(0,\ -8\right)$$

Answer

$$\left(0,\ -6\right)$$

Answer

$$\left(2,\ 0\right)$$

Answer

$$\left(-2,\ 0\right)$$

Question 50

What is the vertex of the quadratic equation

$$f\left(x\right)=-\left(x+7\right)+3$$ ?

Accepted Answer

$$\left(-7,\ 3\right)$$

Answer

$$\left(7,\ 3\right)$$

Answer

$$\left(7,\ -3\right)$$

Answer

$$\left(-7,\ -3\right)$$

Question 51

For the quadratic equation

$$f\left(x\right)=-x^2+12x+32$$ , is the vertex a minimum or a maximum?

Accepted Answer

maximum

Answer

minimum

Answer

not enough information is given

Question 52

For the quadratic equation

$$f\left(x\right)=\left(x+5\right)^2+6$$ , is the vertex a minimum or a maximum?

Accepted Answer

minimum

Answer

maximum

Answer

not enough information is given

Question 53

What is the axis of symmetry for the quadratic equation

$$f\left(x\right)=\left(x-5\right)^2-1$$ ?

Accepted Answer

$$x=5$$

Answer

$$x=-5$$

Answer

$$x=-1$$

Answer

$$5$$

Question 54

What is the y-intercept of the quadratic equation

$$f\left(x\right)=-\left(x-2\right)^2-3$$ ?

Accepted Answer

-7

Answer

-3

Answer

-1

Answer

1

Question 55

What is the equation of the quadratic function shown?

Accepted Answer

$$x^2-3x-10$$

Answer

$$x^2-7x+10$$

Answer

$$x^2+7x+10$$

Answer

$$x^2+3x-10$$

Question 56

What is the equation for the quadratic function shown?

Accepted Answer

$$x^2+12x+36$$

Answer

$$x^2-36$$

Answer

$$x^2+36$$

Answer

$$x^2-12x+36$$

Question 57

Which is the graph for the quadratic equation

$$f\left(x\right)=-\left(x-3\right)^2+8$$ ?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 58

Tommy and Kelly are launching water balloons in their back yard. The graph shows the water balloon's height above the ground after it has been launched. What is the water ballon's maximum height?

Accepted Answer

15.51

Answer

1.75

Answer

3.53

Answer

12.75

Question 59

Tommy and Kelly are launching water balloons in their back yard. The graph shows the water balloon's height above the ground after it has been launched. After how many seconds does the balloon have a height of zero?

Accepted Answer

3.53

Answer

1.75

Answer

15.51

Answer

12.75

Question 60

Points A, B, and C form a right triangle, where side AB is perpendicular to side BC. Point A is at the origin, point B has coordinates (3, 1), and point C lies on the y-axis.

What is the slope of the line passing through points B and C?

Accepted Answer

Answer

$$-\frac{1}{3}$$

Answer

$$\frac{1}{3}$$

Answer

3

Question 61

What is the y-intercept of the line passing through points B and C?

Accepted Answer

10

Answer

Answer

8

Answer

7

Question 62

A rectangular rug, shown below with points A, B, C, and D at its corners, is placed in a room and rotated, so that all four corner touch the walls. The size of the room in the y-direction is 14 ft, and points A and B are 12 ft and 6 ft from the lower left-hand corner, as shown.

Treating the lower left-hand corner as the origin of a coordinate system, what is the equation of the line that passes through points A and B?

Accepted Answer

$$y=-\frac{1}{2}x+6$$

Answer

$$y=-\frac{1}{2}x-6$$

Answer

$$y=-2x-6$$

Answer

$$y=-2x+6$$

Question 63

What is the slope of the line passing through points B and C?

Accepted Answer

2

Answer

Answer

$$-\frac{1}{2}$$

Answer

$$\frac{1}{2}$$

Question 64

What is the distance, d, in feet?

Accepted Answer

4

Answer

2

Answer

8

Answer

14

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