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Algebra 1 Semester Final Review

Total questions: 47

Worksheet time: 2hrs 4mins

Name
Class
Date
1.

Which step has the mistake?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

e)

No mistake

2.

Which step has the mistake?

a)

Step 1

b)

Step 2

c)

Step 3

d)

No mistakes

3.

Solve the inequality:

3(x – 1) ≥ –9

a)

x ≥ –2

b)

x ≥ 2

c)

x ≤ –2

d)

x ≤ 2

4.

Solve a = b + c   , for  c

a)
c = a - b
b)
c = a + b
c)
c = ab
d)
c = a / b
5.
Solve:
C = 2πr, for r
a)

C2π=r\frac{C}{2\pi}=r  

b)
C + 2π = r
c)
C - 2π = r
d)
2πC = r
6.
All of the x values or inputs are called what?
a)
Domain
b)
Range
7.
All of the y values or outputs are called what?
a)
Domain
b)
Range
8.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
9.

Which of these sets is the RANGE of the graph?

a)

{0, 6, 12, 18}

b)

{-2, 0, 2, 4}

c)

{-2, 2, 4}

d)

{6, 12, 18}

10.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
11.

Annika is designing her dream garden and wants to plant sunflowers in her backyard. After she plants the sunflowers she waters them regularly and begins to measure when the flower is twelve cm tall. She notices they are growing 2 cm every day. What is the reasonable range for this situation if she stops measuring after a week?

a)

{0, 1, 2, 3, 4, 5, 6, 7}

b)

12≤y≤2612\le y\le26  

c)

0≤y≤70\le y\le7  

d)

{12, 14, 16, 18, 20, 22, 24, 26}

12.

Denver is watching the snow fall outside his window during a blizzard. When he first begins to watch the snow is 0.5 inches deep. After two hours of consistent snow he now measures it as 4.5 inches deep. What is reasonable domain for this situation?

a)

0≤x≤20\le x\le2  

b)

{0, 1, 2}

c)

0.5≤x≤40.5\le x\le4  

d)

{0.5, 2.5, 4.5}

13.
You can identify a function from a graph by using the.....
a)
Horizontal Line Test
b)
Eye Test
c)
Vertical Line Test
d)
Diagonal Line Test
14.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
15.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
16.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
17.
Find the x and y intercepts
4x - 5y = 40
a)
x intercept is 10 
y intercept is 8
b)
x intercept is 10
y intercept is 20
c)
x intercept is 8
y intercept is 10
d)
x intercept is 10
y intercept is -8
18.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
19.

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

a)

2

b)

-2

c)

12

d)

-12

20.
Determine the slope and y-intercept from the following equation:   4x + y = -10
a)
slope: 4   y-intercept:  (0,10)
b)
slope: -4   y-intercept:  (0,-10)
c)
slope: -4   y-intercept:  (0,10)
d)
slope: 4   y-intercept:  (0,-10)
21.
What ordered pair is a solution of 2y - 3x = 8
a)
(6,13)
b)
(19, 4)
c)
(10,4)
d)
(4,0)
22.

Is the ordered pair (2, 5) a solution of y = 3x + 2?

a)

Yes

b)

No

23.

Write a slope-intercept equation of the line containing the point (-3,5) and (4,3)

a)

y=−27x+297y=-\frac{2}{7}x+\frac{29}{7}  

b)

y=27x+297y=\frac{2}{7}x+\frac{29}{7}  

c)

y=297x+27y=\frac{29}{7}x+\frac{2}{7}  

d)

y=37x+27y=\frac{3}{7}x+\frac{2}{7}  

24.
 Identify the slope-intercept equation:
a)
y = 2x - 2
b)
y = -2x + 2
c)
y = -2x + 4
d)
y = 2x + 4
25.

Write an equation for the line shown by counting the slope and identifying the y-intercept.

a)

y = -2x + 2

b)

y = 2x + 2

c)

y = 1/2x- 2

d)

y = -1/2x + 2

26.

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

27.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.

What is the equation of the line for this climber?

a)

y=300x+150

b)

y=75x-150

c)

y=-75x+250

d)

y=75x+250

28.

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

a)

g(x) is shifted up 6 units

b)

g(x) is shifted down 6 units

c)

g(x) is shifted left 6 units

d)

g(x) is shifted right 6 units

29.

What does the equation

g(x) = f(x)+4 g\left(x\right)\ =\ f\left(x\right)+4\  do to the graph of f(x)?

a)

Shifts the graph left four units

b)

Shifts the graph right four units

c)

Shifts the graph up four units

d)

Shifts the graph down four units

30.

Estimate the correlation coefficient

a)

r = 1

b)

r = -1

c)

r ≈ -0.8

d)

r ≈ 0.8

e)

r ≈ -0.5

31.

r = -0.3 is considered to have...

a)

moderate negative correlation

b)

weak negative correlation

c)

no correlation

d)

strong negative correlation

32.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

33.
A correlation shows that two things are
a)
related
b)
causing each other
c)
unrelated
34.
This implies that one variable has a direct affect on the other variable.
a)
Correlation
b)
Causation
35.

Which of the following examples is not causation?

a)

When the student population at school increases, the number of teachers at school increases.

b)

When the amount of sugar in apple juice decreases, there are fewer calories in each serving.

c)

When there are more workers on a project, the project takes less time to complete.

d)

When there is more protein in an athlete's diet, the athlete scores more points in a game.

36.

Sometimes correlations can happen by chance; there is no causation

a)

True

b)

False

37.

The difference of a and b is 3. The sum of a and b is 13. Find the values of a and b.

a)

a = 7

b = 10

b)

a = 8

b = 5

c)

a = 10

b = 13

d)

a = 6.5

b = 2

38.

The sum of Mrs. LaRoque's and Mrs. Murphy's ages is 61. The difference is 7. What are their ages?

a)

31 and 31

b)

54 and 7

c)

27 and 34

d)

21 and 40

39.
Which interval has 4 students?
a)
56-59
b)
60-63
c)
60-67
d)
48-51
40.
21. How many students are represented by the histogram?  
a)
Cannot be determined
b)
9
c)
31
d)
35
41.

Which box plot represents the data below?


90, 91, 93, 93, 95, 96, 98, 99, 101, 110, 112, 113, 123, 125, 126

a)
b)
c)
d)
42.
What is the percentage of students that are between the ages 10 - 13 and eat breakfast?
a)
About 33%
b)
About 50%
c)
About 40%
d)
About 44%
43.

What is the percentage of all surveyed that eat breakfast?

a)

91%

b)

52%

c)

40%

d)

44%

44.
Write the explicit rule for the arithmetic sequence
9, 13, 17, 21, ...
a)
an = -4n + 5
b)
an = -9n + 14
c)
an = 9n - 5
d)
an = 4n + 5
45.
Write the explicit rule for the arithmetic sequence
12, 10, 8, 6, ...
a)
an = 12n - 14
b)
an = 2n - 14
c)
an = -2n + 14
d)
an = -12n + 14
46.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

47.
Which equation matches the graph?
a)
y = 2x+3
b)
y = 2x + 3
c)
y = 2x
d)
y = 2-x

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