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M1 Unit 2 Review (Linear Equations)

Total questions: 88

Worksheet time: 5hrs 2mins

Name
Class
Date
1.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
2.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
3.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
4.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
5.
What is the slope?
a)
-21
b)
-17
c)
1/4
d)
4
6.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
7.

Write the equation that created this table.

a)

y = -2x - 1

b)

y = 2x + 1

c)

y = 4x - 3

d)

y = -2x + 5

8.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
9.
Is this a direct variation?
a)
yes
b)
no
10.
Is this a direct variation?
a)
yes
b)
no
11.
If two lines are parallel their slopes are  ____________
a)
the same.
b)
negative reciprocals of each other.
12.

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

a)

YES

b)

NO

13.
Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3
a)
y = (-3/5)x + 2
b)
y = (-3/5)x -2
c)
y = (3/5)x + 2
d)
y = (5/3) + 2
14.

If two lines are perpendicular to each other their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

15.
Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12
a)
YES
b)
NO
16.
Are these lines perpendicular?
y = (1/2)x + 2
y = -2x + 13
a)
YES
b)
NO
17.
Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12
a)
y = (-1/3)x - 1
b)
y = (1/3)x - 2
c)
y = -3x + 12
d)
y = 3x - 1
18.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
19.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
20.
What type of correlation (association)?
The outside temperature and the amount of layers you wear. 
a)
Positive correlation
b)
Negative correlation
c)
No correlation
d)
All of the above
21.
The number of siblings you have and your weight. 
a)
Positive correlation
b)
Negative correlation
c)
No correlation
d)
All of the above
22.
As x increases, y increases
a)
correlation coefficient
b)
causation
c)
positive correlation
d)
negative correlation
23.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
24.
If a scatterplot has no association then...
a)
...it has no ordered pairs
b)
...it has ordered pairs that have a negative pattern
c)
...its ordered pairs have no predictable pattern
d)
...if it makes a lion on a graph (roar!)
25.

A correlation shows that two things

a)

Are Related

b)

Cause Each Other to Happen

c)

Are Unrelated

26.

Correlation or Causation?

The speed you drive and the amount of fuel you use

a)

Correlation

b)

Causation

27.

Correlation or Causation?

The number of times you come to tutoring and your test scores improving

a)

Correlation

b)

Causation

28.

Correlation or Causation?

When it rains several inches, the water level of a lake increases

a)

Correlation

b)

Causation

29.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
30.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
31.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
32.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
33.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

34.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

35.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

36.
The correlation coefficient is a number "r" such that: 
a)
-1<r<1
b)
-1>r>1
c)
-1≤r≤1
d)
-1≥r≤1
37.
r=-0.89
a)
Strong positive 
b)
Weak positive 
c)
Strong negative 
d)
Weak negative 
38.
A perfect positive correlation has a correlation coefficient of ____. 
a)
1
b)
-1
c)
0
39.
Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.
a)
-0.19 weak
b)
-0.19 moderate
c)
0.04 weak
d)
0.04 strong
40.
What is the line of best fit?
a)
f(x)= 5x+1.82
b)
cannot be determined
c)
f(x)= 1.82x + 5.02
d)
f(x)= 1.1x + 4.2
41.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

42.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

43.

Which line is the best line of best fit?

a)

a

b)

b

c)

c

d)

i don't see any lines

44.

What are the coordinates of the outlier?

a)

(1,9)

b)

(9,1)

c)

(2,2)

d)

y=x

45.

What is the equation of the line of best fit?

a)

y= 2x

b)

y=3x+7

c)

y= 12x +3\frac{1}{2}x\ +3

d)

y= −12x −3-\frac{1}{2}x\ -3

46.
Find the distance between J and K.
a)
√68
b)
√8
c)
9
d)
√53
47.
Find the distance between (-4, 5)
and (7, 18).
a)
√202
b)
√538
c)
√178
d)
√290
48.
What is the midpoint between (-4,4)
and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
49.
What is the midpoint between (3, -1)
and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
50.
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8)   Midpoint (0,9)
a)
(-9, 10)
b)
(1.5, -1)
c)
(4.5, -0.5)
d)
(8.5, 4.5)
51.
What is a line of best fit used for?
a)
To make predictions
b)
To make the graph look pretty
c)
To connect the points
d)
To make it look like you know what you are doing
52.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
53.
About how many male math teachers were there in 2006?
a)
15
b)
30
c)
35
d)
45
54.
What type of association does this graph show?
a)
Positive
b)
negative
c)
none
d)
all of the above
55.
Which sentence describes the relationship shown on this scatter plot?
a)
As the temperature decreases, the visitors increase. 
b)
As the temperature increases, the number of visitors increases. 
c)
As the visitors increase, the temperature decreases. 
d)
No correlation
56.
What would be the correlation between study time and test grades?
a)
positive
b)
negative
c)
none
d)
cannot be determined
57.

Determine the predicted income if 22 hours were worked on an assembly job.

a)

$207.30

b)

$449.60

c)

$691.90

d)

$543.30

58.
What type of correlation do you think there is between:
Time Spent Watching TV & Grades
a)
Positive correlation
b)
Negative correlation
c)
No correlation
d)
cannot be determined
59.
What would be the correlation be between study time and test grades?
a)
positive correlation
b)
negative correlation
c)
no correlation
d)
cannot be determined
60.

This measures how strong or weak the relationship between 2 quantitative variables are.

a)

Scatter Plot

b)

Causation

c)

Correlation

d)

Line of best fit

61.

What does the value, r= -0.89, tell us about the linear relationship of two quantitative variables?

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

62.
When you check your scatter plot to see if it is straight (linear), curved, or any other pattern you are looking at _________
a)
Form
b)
Direction
c)
Outlier
d)
Strength
63.

Determine the correlation coefficient of the given data:

a)

.9820

b)

-.9643

c)

1.409

d)

.6864

64.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

65.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

66.

Shape?

a)

Skewed right

b)

Skewed left

c)

Symmetric

d)

Normal

67.

What type of Correlation?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

68.

What type of Correlation?

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

69.
Which graph has a correlation coefficient (r) of about -.6 ?
a)
a
b)
b
c)
c
d)
d
70.

What is the y-intercept?

a)

-2

b)

3

c)

2

d)

-3

71.

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

a)

f(x) = 25.05x + 5.57

b)

f(x) = 5.57x + 25.05

c)

f(x) = -127x + 25.05

d)

f(x) = 127x - 25.05

72.

Calculate the line of best fit.

a)

y = 510x + 8750

b)

y = 8750 + 510x

c)

y = 3x + 10700

d)

y = 10700x + 3

73.

Find the line of best fit.

a)

y = -0.96x + 0.78

b)

y = 0.66x - 0.89

c)

y = -2x + 2

d)

y = 2x - 2

74.

Find the line of best fit

a)

y = 6.3x + 62

b)

y = 62x + 6.3

c)

y = 3x + 84

d)

y = 84x + 3

75.

Find the line of best fit

a)

y = -5.4x + 10840

b)

y = 10840x - 5.4

c)

y = 2001x + 39

d)

y = 39x + 2001

76.

Find the line of best fit

a)

y = 1.2x + 22

b)

y = 22x + 1.2

c)

y = 12x + 47

d)

y = 47x + 12

77.

Find the line of best fit

a)

y = 0.42x - 20

b)

y = -20x + 0.42

c)

y = 67x + 8.5

d)

y = 8.5x + 67

78.

Find the line of best fit

a)

y = 0.16x - 0.3

b)

y = -0.3x + 0.16

c)

y = 4.75x + 0.5

d)

y = 0.5x + 4.75

79.

Find the line of best fit

a)

y = 0.27x + 5.8

b)

y = 5.8x + 0.27

c)

y = 6

d)

y = 0

80.

Find the line of best fit

a)

y = 0.20x + 26

b)

y = 26x + 0.20

c)

y = 25x + 28

d)

y = 28x + 25

81.

Data was collected on the weight of a male laboratory rat for the first 25 weeks after its birth. The linear regression equation is y= 40x+100, where x is number of weeks and y is weight in grams. What does the y-intercept mean in context of the problem?

a)

The predicted weight of the rat in year 0.

b)

The predicted weight of the rat at birth.

c)

The current weight of the rat.

d)

The average increase in the rat's weight.

82.

The x-values of a function can also be called:

a)

the dependent values

b)

the maximum minus the minimum

c)

the domain

d)

the range

83.

Which example shows CAUSATION? (Which one CAUSED the other to happen?)

a)

High social media usage and reduced grades.

b)

Car ran out of gas and being stranded on the side of the road.

c)

Recess time and number of friends.

d)

A person's age and what kind of cereal they eat.

84.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

85.

What type of correlation does this graph show?

a)

A) Positive

b)

B) negative

c)

C) none

d)

D) all of the above

86.

Estimate the correlation coefficient

a)

r = 1

b)

r = -1

c)

r ≈ -0.8

d)

r ≈ 0.8

e)

r ≈ -0.5

87.
A perfect negative correlation has a correlation coefficient of ____. 
a)
1
b)
-1
c)
0
88.
A perfect positive correlation has a correlation coefficient of ____. 
a)
1
b)
-1
c)
0

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