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Semester A Exam 2024

Total questions: 64

Worksheet time: 1hrs 28mins

Name
Class
Date
1.

Look at the function that is graphed below. What is the range of this function?

a)

-4 ≤ y ≤ 5

b)

-3 ≤ y ≤ 3

c)

-2 ≤ y ≤ 3

d)

-4 ≤ y ≤ -1

2.

If y varies directly as x and y = 8 when x = 3, what is the value of y when x = 9?

a)

8/3

b)

27/3

c)

14

d)

24

3.

Speedy Rentals will rent a jet ski for $15.00 plus $3.00 per hour. Which equation expresses C, the cost of renting a jet ski and riding it for h hours?

a)

C = 15h + 3

b)

C = 15 + 3h

c)

C = 3(15 + h)

d)

C = 15(h + 3)

4.

The scatter plot shows the relationship between the amount of time Casey was at the mall and the amount of money she spent there. Which statement best describes the relationship between the amount of money Casey spent and the amount of time she was at the mall?

a)

The amount of money spent was not affected by the amount of time at the mall.

b)

The amount of money spent decreased as the amount of time at the mall increased.

c)

The amount of money spent increased as the amount of time at the mall increased.

d)

The amount of money spent remained the same without regard to the amount of time at the mall.

5.

If a line passes through the points A and B shown below, approximately where does the line cross the x-axis?

a)

between −3 and −2

b)

between 0 and −1

c)

between 0 and 1

d)

between 1 and 2

6.

The values in the table below were generated using a rule. Which rule could have been used to generate the values in the table?

a)

y = 7x + 23

b)

y = 23x

c)

y = x + 23

d)

y = 7 + 23x

7.

Rashad solved the inequality 2x + 4 ≥ 14 and determined that x could equal 6. Is Rashad correct?

a)

No, because x ≥ 5

b)

No, because x = 5

c)

Yes, because x ≥ 5

d)

Yes, because x ≤ 5

8.

The table below shows the amount of money Bernard earned selling newspapers during a 6-week time period. Which describes the relationship between the week, x, and the money Bernard earned, y?

a)

a weak, positive relationship

b)

a strong, negative relationship

c)

a strong, positive relationship

9.

Determine the slope m, x-intercept, and y-intercept of the equation 5x – 2y = 10.

a)

slope m = 5/2, x-intercept = (2, 0), y-intercept = (0, –5)

b)

slope m = –5/2, x-intercept = (2, 0), y-intercept = (0, –5)

c)

slope m = 2/5, x-intercept = (–5, 0), y-intercept = (0, 5)

d)

slope m = –2/5, x-intercept = (–5, 0), y-intercept = (0, 5)

10.

Which of the following could be the graph of a function?

a)

A

b)

B

c)

C

d)

D

11.

(4x² - 2x + 8) - (x² + 3x - 2) =

a)

3x² + x + 6

b)

3x² + x + 10

c)

3x² - 5x + 6

d)

3x² - 5x + 10

12.

The expression (3c)⁻² is equivalent to

a)

-6c²

b)

1/3c²

c)

1/9c²

d)

3/c²

13.

Which of the following is equivalent to the expression below? (7a² + 5a + 3) + (-3a² + 2a - 4)

a)

4a² + 7a - 1

b)

4a² + 7a + 1

c)

-4a² + 7a - 1

d)

-4a² + 7a + 1

14.

Jim is graphing the streets in his town on the coordinate grid shown. Green Avenue is perpendicular to Brown Street. Which equation could represent the graph of Green Avenue?

a)

y = -2x + 4

b)

y = -1/2x + 2

c)

y = 1/2x - 8

d)

y = 2x - 4

15.

Which of the following statements is supported by the data?

a)

More sleep causes a person to have a higher G.P.A.

b)

A higher G.P.A. allows a person to get more sleep.

c)

In the sample study, sleep and G.P.A. are positively correlated.

d)

Schoolwide, sleep and G.P.A. are positively correlated.

16.

When rice is prepared, the amount of rice varies directly as the amount of water required. If 2 cups of rice requires 4.5 cups of water, what is the total number of cups of water needed to prepare 5 cups of rice?

a)

9

b)

10

c)

11.25

d)

22.5

17.

Which graph represents the same pattern as 4x - 2y = -8?

a)

A

b)

B

c)

C

d)

D

18.

Which of these graphs correctly represents the inequality y < 1/2x - 1 ?

a)

A

b)

B

c)

C

d)

D

19.

The graph of y < 2x - 3 is shown. Which set contains only points that satisfy the inequality?

a)

A. {(3, 3), (-4, -11), (-1, -8), (5, 0)}

b)

B. {(5, 7), (-3, -10), (5, -7), (-1, -4)}

c)

C. {(-1, -10), (5, 8), (-4, -13), (3, -2)}

d)

D. {(-4, -12), (-1, -5), (3, 4), (5, 6)}

20.

The equation d = 24w + 180 represents d , the demand for a CD at Jim’s Music Store after w weeks. The equation s = 800 - 100w represents s , the supply for the same CD after w weeks. After how many weeks will the demand for the CD equal the supply?

a)

A. 4

b)

B. 5

c)

C. 8

d)

D. 13

21.

Which relation is a function?

a)

A. {(-1, 3), (-2, 6), (0, 0), (0, -2, -2)}

b)

B. {(-2, -2), (0, 0), (1, 1), (2, 2)}

c)

C. {(4, 0), (4, 1), (4, 2), (4, 3)}

d)

D. {(7, 4), (8, 8), (10, 8), (10, 10)}

22.

Which expression represents the range of the function shown in the graph below?

a)


−8≤x≤6-8\le x\le6

b)

−5≤x<8-5\le x<8

c)

−5<y≤8-5<y\le8

d)

−5≤y≤8-5\le y\le8

23.

The cost of printing different numbers of copies of a book is shown on the graph below. Which equation represents the cost, C, of printing n copies of the book?

a)

C = 400 + 250n

b)

C = 400 + 50n

c)

C = 400 + 2n

d)

C = 400 + n

24.

The graph of a line is shown. What is the equation of a line that is perpendicular to the line shown and goes through the point (3, -1)?

a)

y = -3/4x - 5

b)

y = -3/4x + 3

c)

y = 3/4x - 5

d)

y = 3/4x + 3

25.

Which inequality does the shaded region of the graph represent?

a)

3x + y ≤ 2

b)

3x + y ≥ 2

c)

3x + y ≤ -2

d)

3x + y ≥ -2

26.

Which statement is true about the graphs of these equations?

y = 2x + 7

5y = 10x + 35

a)

The lines coincide.

b)

The lines are parallel.

c)

The lines are perpendicular.

d)

The lines intersect, but are not perpendicular.

27.

The system of equations below shows the rental costs (y), in dollars, for renting a kayak x hours from two different rental companies. y = 25x + 250 and y = 50x + 150. For what number of hours will the rental cost be the SAME for both companies?

a)

4

b)

5

c)

10

d)

16

28.

Zane was given the equation 2x - 5 = y and wondered what the graph of this equation would look like. Which of the following best describes the graph?

a)

A line that rises from left to right

b)

A vertical line

c)

A line that falls from left to right

d)

A horizontal line

29.

Which is the correct graph for 3y + 3= 2x ?

a)

A

b)

B

c)

C

d)

D

30.

Given f(x)=x3+x2−xf\left(x\right)=x^3+x^2-x , what is f(4)?

a)

16

b)

76

c)

256

d)

1,024

31.

Which set of numbers is NOT included in the solution set of 4y - 3x < -2 ?

a)

(3,-5)

b)

(0,0.25)

c)

(4,-3)

d)

(0,-1.25)

32.

Which graph best represents the solution to this system of inequalities

5y ≥2x−105y\ \ge2x-10

y≤2x+1y\le2x+1 ?

a)

A

b)

B

c)

C

d)

D

33.

Bennie is using this pattern to make stars for an Alaska state flag. What is the slope of line segment AB in Bennie’s pattern?

a)

A.-7/2

b)

B. 8/3

c)

C. 7/3

d)

D. 7/2

34.

Which expression is equivalent to (3x2)3\left(3x^2\right)^3 ?

a)

9x59x^5

b)

9x69x^6

c)

27x527x^5

d)

27x627x^6

35.

Larissa incorrectly graphed 2x - y = 4 on the following coordinate grid. Which statement could not be used to justify that Larissa’s graph is incorrect?

a)

A. The line should cross the y-axis at -4.

b)

B. The intercepts of the line should be (2, 0) and (0, -4).

c)

C. The slope of the line should be -2.

d)

D. The slope of the line should be positive.

36.

A school store sells pens for $1.29 each and notebooks for $2.25 each. Paul bought p pens and n notebooks. He spent less than $10. Which of these inequalities represents this situation?

a)

A. 2.25p - 1.29n < 10

b)

B. 1.29p - 2.25n < 10

c)

C. 2.25p + 1.29n < 10

d)

D. 1.29p + 2.25n < 10

37.

Which of the following is not a function of x?

a)

A. Graph A

b)

B. Graph B

c)

C. Graph C

d)

D. Graph D

38.

There are two numbers with the following properties:

I. The second number is 3 more than the first number.

II. The product of the two numbers is 9 more than their sum.

Which of the following represents possible values of these two numbers?

a)

A. -6, -3

b)

B. -4, -1

c)

C. -1, 4

d)

D. -3, 6

39.

What is the domain of the function shown on the graph below?

a)

A. {-1, -2, -3, -4}

b)

B. {-1, -2, -4, -5}

c)

C. {1, 2, 3, 4}

d)

D. {1, 2, 4, 5}

40.
Name the slope in the following equation
y= 3/7x -4
a)
-4
b)
4
c)
3/7x
d)
3/7
41.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

c)

cannot be determined

d)

infinite solutions

42.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
same lines
43.

If a system of equations has one solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

same lines

44.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
45.

Match the following graphs to the systems of equations

a)
1.

y=23x+1y=\frac{2}{3}x+1  

y=23x−2y=\frac{2}{3}x-2  

b)
2.

y=−x+7y=-x+7   y=2x+1y=2x+1  

c)
3.

y=−2x+4y=-2x+4   y=−2x+4y=-2x+4   

46.

Which ordered pair is in the solution set of y>−16x−4y>-\frac{1}{6}x-4 ?

a)

(−8, 8)

b)

(6, −5)

c)

(4, −6)

d)

(−2, −7)

47.
What is the type of correlation?
a)
Negative 
b)
no association
c)
positive 
48.

Choose all the equations that are exponential:

a)

y = 6x -5

b)

y = 8x - 9

c)

f(x) = 3x2 + 4

d)

y = 1/3x

e)

y = 7x3

49.

Identify the type of relationship

a)

Linear

b)

Quadratic

c)

Exponential

50.

Identify the type of relationship

a)

Linear

b)

Quadratic

c)

Exponential

51.

Identify the type of relationship

a)

Linear

b)

Quadratic

c)

Exponential

52.

Identify the type of relationship

a)

Linear

b)

Quadratic

c)

Exponential

53.

Identify the type of relationship

a)

Linear

b)

Quadratic

c)

Exponential

54.

Identify the type of relationship

a)

Linear

b)

Quadratic

c)

Exponential

55.

Identify the type of relationship

a)

Linear

b)

Quadratic

c)

Exponential

56.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
57.

Determine which type of function the following is:


a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

58.

Which represents exponential decay?

a)

A

b)

B

c)

C

d)

D

59.
Whats the horizontal asymptote?
a)
y=1
b)
y=0
c)
(0,-1)
d)
y=-1
60.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

61.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

62.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
63.

Use the graph to determine the x-intercept(s).

a)

(1, 0)

b)

(0, 3), (0, 1)

c)

(3, 0), (1, 0)

d)

(0, -3)

64.

y varies directly with x. If y = 20 when x = 4, what is y when x = -2 ?

a)

-10

b)

10

c)

-5

d)

5

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