Free Printable Unit 5 Review | Analytic Geometry

1.

Do x and y show direct variation?

y = 2x + 3

a)

Yes

b)

No

2.

Do x and y show direct variation?

y = 5x

a)

Yes

b)

No

3.

Do x and y show direct variation?

y = x²

a)

Yes

b)

No

4.

The graph of a direct variation must be a straight line and must pass though

a)

Quadrant 1 and 3

b)

Quadrant 2 and 4

c)

the origin (0,0)

5.

Is this the graph of a direct variation?

a)

Yes

b)

No

6.

Write an equation for this relationship.

a)

y=4x

b)

y=1/8x

c)

y=1/4x

d)

y=8x

7.

Does the relationship represent direct variation?

a)

Yes

b)

No

8.

Does the equation describe a partial variation relationship?

a)

Yes

b)

No

9.

Does the data in this table describe a partial variation relationship?

a)

Yes

b)

No

10.

Does this graph describe a partial variation relationship?

a)

Yes

b)

No

11.

Alison belongs to a gym that charges $100 a year plus $2 per visit. Which equation represents the cost of her gym membership for one year?

a)

y=2x+100

b)

y=100x+2

c)

y=100x

d)

y=2x

12.

Is this a direct or partial variation?

a)

Direct

b)

Partial

13.

What is the speed of a bus that travels 90 km in 2.25 hours?

a)

36 km/h

b)

40 km/h

c)

225 km/h

d)

60 km/h

14.

Lindsay runs 5 meters per second on the track. How far can she run in one minute?

a)

30 meters

b)

120 meters

c)

60 meters

d)

300 meters

15.

If an airplane travels at a speed of 610 km/h for 2.75 hours, how far will it go?

a)

2557 km

b)

221.82 km

c)

450.8 km

d)

1667.5 km

16.

Mike did 20 J of work to push a 2 N hockey puck across a frozen pond. How many meters did the hockey puck travel?

a)

40 meters

b)

10 meters

c)

20 meters

d)

30 meters

17.

Which of the following is Newton's first law?

a)

An object in motion will remain in motion and an object at rest will remain at rest until acted upon by an unbalanced force

b)

Acceleration depends on force and mass

c)

Energy cannot be created or destroyed, but it can change in form

d)

For every action that occurs, there is an equal but opposite reaction

18.

Mary won the gold medal in weightlifting in the 2016 Summer Olympics. Determine the work down if she lifted 323 N to a height of 2 meters to set the world record for women's weightlifting.

a)

646 J

b)

162 J

c)

235 J

d)

653 J

19.

Find the slope of the line.

a)

b)

c)

d)

20.

Find the slope of the line.

a)

b)

c)

d)

21.

What is the slope of the line?

a)

b)

c)

d)

22.

Find the slope of the line.

a)

b)

c)

d)

23.

What is the slope of the line?

a)

b)

c)

d)

24.

What is the slope of the line?

a)

b)

c)

d)

25.

What is the slope of the line?

a)

b)

c)

d)

26.

What is the slope of the line?

a)

b)

c)

d)

27.

What is the slope of the line?

a)

b)

c)

d)

28.

Which statement describes the rate of change of the line?

a)

$20 each week

b)

$30 each week

c)

$25 each week

d)

$70 each week

29.

Mr. Z is starting his own car club, there is a $30 join up fee and a $5 monthly fee. What is the rate of change?

a)

$30 join fee

b)

$5/month

30.

What is the rate of change?

a)

-10 ft per second

b)

15 ft per second

c)

10 ft per second

d)

-15 ft per second

31.

Determine the Rate of Change?

a)

$250.00 per day

b)

$333.33 per day

c)

-$250.00 per day

d)

-$333.33 per day

32.

At what rate did the rain fall?

a)

2 cm per hour

b)

¹/₄ cm per hour

c)

¹/₂ cm per hour

d)

4 cm per hour

33.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

34.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

35.

Is the graph pictured a linear or nonlinear function?

a)

Linear

b)

Nonlinear

36.

Determine if the graph is linear or nonlinear.

a)

Linear

b)

Nonlinear

37.

a)

A

b)

B

c)

C

d)

D

38.

LINEAR or NONLINEAR?

y = 4x + 6

a)

linear

b)

nonlinear

39.

LINEAR or NONLINEAR?

y = 7x³ + 5

a)

linear

b)

nonlinear

40.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

41.

Which function is linear?

a)

y = 2x + 4

b)

y = 2x² + 4

c)

y = 2x(4 − 3x)

d)

xy = 15

42.

Which equations represent nonlinear functions? Select all that apply.

a)

y= 3x-4

b)

y=9x²+7x

c)

y=x

d)

y=2x³

e)

2x²=y+4

43.

Convert the standard form equation into slope-intercept form.
5x + y = -5

a)

y = -5x - 5

b)

y = ⅕x - 5

c)

x = ⅕

d)

y = 27, 239, 430

44.

Convert the standard form equation into slope-intercept form.
4x - 3y = 15

a)

y = (4/3)x - 5

b)

y = ⅔x - 5

c)

x = ¾

d)

y = 27, 239, 430

45.

Convert the standard form equation into slope-intercept form.
x - 5y = 10

a)

y = ⅕x - 2

b)

y = -x - 2

c)

x = -10

d)

y = 27, 239, 430

46.

Convert the standard form equation into slope-intercept form.
x + y = -1

a)

y = x - 1

b)

y = 27, 239, 430

c)

y = -1x

d)

y = -x - 1

47.

When converting the equation

2x + 4y = 8

into slope-intercept form, the first step to solve for y would be to ____________.

a)

subtract 2x from each side

b)

subtract 4y from each side

c)

add 2x to each side

d)

add 4y to each side

48.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

x-intercept

49.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

beans

c)

x-intercept

d)

slope

50.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

51.

3x + y = 12

a)

y = -3x +12

b)

x = y + 4

c)

x = y + 12

d)

y = 3x -12

52.

a)

y=x+2

b)

y=3x+6

c)

y=-x+2

d)

y=-3x-2

53.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

-2

54.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

55.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

56.

What type of line is the equation x = 8 ?

a)

vertical

b)

horizontal

c)

neither

57.

What type of line is the equation y = 10 ?

a)

vertical

b)

horizontal

c)

neither

58.

What type of line has a slope of 0?

a)

vertical

b)

horizontal

c)

neither

59.

What type of line has an undefined slope?

a)

vertical

b)

horizontal

c)

neither

60.

Which equation matches the graph?

a)

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

b)

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

c)

$y=4x+2$

d)

$y=2x+4$

61.

Match the equation to the correct graph:

$y=-\frac{1}{2}x+7$

a)

b)

c)

d)

62.

What is the slope (m) of the line?

y=\frac{5}{4}x-9

a)

$m=-9$

b)

$m=-\frac{5}{4}$

c)

$m=\frac{5}{4}$

d)

5 units right and 4 units up

e)

can't be determined

63.

What is true about slope (m)? Select all that apply?

a)

$m=\frac{rise}{run}$

b)

$m=\frac{change\ in\ y}{change\ in\ x}$

c)

$m=\frac{y_2-y_1}{x_2-x_1}$

d)

m is always constant

e)

m is the steepness of a line

64.

What is the slope (m) parallel to the line?

y=\frac{1}{2}x+3

a)

$m=3$

b)

$m=\frac{1}{2}$

c)

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

d)

$m=-2$

65.

What is the slope (m) perpendicular to the line?

y=\frac{3}{2}x-4

a)

$m=-4$

b)

$m=\frac{3}{2}$

c)

$m=\frac{2}{3}$

d)

$m=-\frac{2}{3}$

66.

True or false, slope is modeled on a graph by a right triangle?

a)

true

b)

false

67.

Are these lines parallel, perpendicular, or just intersecting (not at a right angle)?

Feel free to graph if needed.

y=-4x+3

and

y=-4x-1

a)

parallel

b)

perpendicular

c)

intersecting (not at a right angle)

68.

Are these lines parallel, perpendicular, or just intersecting (not at a right angle)? Feel free to graph if needed. $y=-\frac{2}{3}x+3$ and $y=\frac{4}{3}x-1\$

a)

parallel

b)

perpendicular

c)

intersecting (not at a right angle)

69.

What is the equation of the line that is parallel to $y=5x+7$ and goes through the point (0, -2)?

Feel free to graph.

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5x-10

d)

y = -1/5x - 2

70.

y-intercept (or vertical intercept) is the value of y when x = ?

a)

1

b)

2

c)

0

d)

5

71.

What is the y-intercept (vertical intercept) of this line?

a)

1

b)

2

c)

3

d)

4

72.

Which graph is non-proportional?

a)

A

b)

B

c)

C

d)

D

73.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

74.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

75.

Which graph shows the equation $y=\frac{2}{3}x-3$

a)

b)

c)

d)

76.

Elena bought an app for $3.00 and spends $1.50 every time she wants to buy an extra bundle of point within the app. Write an equation for the sentence above.

a)

$y=1.50x+3$

b)

$y=3x+1.5$

c)

$y=.15x+3$

d)

$y=\frac{2}{3}x+3$

77.

A tank contains 20 gallons of gasoline. Two gallons are drained out of the tank every minute. Write a function that describes the sentence above.

a)

$y=-20x+2$

b)

$y=-2x+20$

c)

$y=2x+20$

d)

$y=-2x-20$

78.

A plant is 3.5 inches tall. It grows $\frac{1}{2}$ an inch every week. Which equation best matches the sentence above.

a)

$y=0.5x-3.5$

b)

$y=0.5x+3.5$

c)

$y=-0.5x+3.5$

d)

$y=3.5x+0.5$

79.

A holiday meal costs $12.50 a person plus a delivery fee of $30.

a)

y = 12.5x +30

b)

y = 12.5 + 30

c)

y = 30x + 12.5

d)

y = -12.5x + 30

80.

Write a linear equation in the form of y=mx+b

a)

y= 3x + 5

b)

y = 5x - 3

c)

y = 2x + 3

d)

y = 5x + 3

81.

Write a linear equation in the form of y=mx+b

a)

y = 2x + 2

b)

y = 2x - 2

c)

y = x + 2

d)

y = 3x - 2

82.

Write a linear equation in the form of y=mx+b

a)

y = x + 2

b)

y = 2x - 1

c)

y = 3x - 2

d)

y = 2x +1

83.

Write a linear equation in the form of y=mx+b

a)

y = -2x + 7

b)

y = 7x - 2

c)

y = x + 7

d)

y = -2x

Unit 5 Review | Analytic Geometry

Total questions: 83

Worksheet time: 4hrs 12mins

Similar Resources on Wayground