Free Printable 24/25 Practice Exam Semester 1

1.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

2.

-11-5a = 6(5a + 4)

a)

-1

b)

-2

c)

-3

d)

-4

3.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

4.

Is this linear?

a)

Yes

b)

No

c)

Maybe

d)

Depends

5.

Write a linear equation in slope-intercept form give the point and slope. (-6, -11); slope = 1/2

a)

$y+6=\frac{1}{2}\left(x+6\right)$

b)

$x-2y=16$

c)

$y=\frac{1}{2}x-8$

d)

$y=\frac{1}{2}x-11$

6.

Ben and Julia rented a truck from the same company to move to college. Ben drive 150 miles and paid $64.95 while Julia drove 84 miles and paid $45.15. What is the slope and what does it represent in context to the situation.

a)

m = 0.30; it represents the cost per mile.

b)

m = 0.30; it represents the initial fee for the moving truck

c)

m = 19.95; it represents the initial fee for the moving truck

d)

m = 3.33; it represents the cost per mile.

7.

If g(x) represents a vertical shift of f(x) = -x up 4 units followed by a vertical stretch (steepness) by a factor of 3. What is the rule of g(x)?

a)

$g\left(x\right)=-3x+12$

b)

$g\left(x\right)=-4x+12$

c)

$g\left(x\right)=-x+4$

d)

$g\left(x\right)=-3x+4$

8.

Jerome has $150 in his savings account and saves $40 per month. Write a linear function J(x) that will tell us the money Jerome has in his savings account after x months.

a)

J(x) = 150 + 40

b)

J(x) = 40x + 150

c)

J(x) = 150x + 40

d)

J(x) = 40 + 150

9.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

10.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

11.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

12.

What is the domain of the graph?

a)

[1, 4]

b)

(1, 4)

c)

[1, 5]

d)

(1, 5)

13.

The table shows the cost of a pizza, P(t), based on the number of toppings, t. Write a linear function for P(t).

a)

P(t) = 3t + 17.5

b)

P(t) = 2t +11.5

c)

P(t) = 3.5t + 9

d)

P(t) = 2.5t + 10

14.

What is the slope of this line?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

15.

Choose the equation that is graphed in the picture.

a)

y = 2/3x + 3

b)

y = 3/2x + 3

c)

y = -3/2x + 3

d)

y = -2/3x - 3

16.

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

17.

Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?

a)

64

b)

128

c)

32

d)

16

18.

What does the slope mean in the context of the problem?

a)

The cost will increase by $1.40 per topping

b)

The cost will decrease by $1.40 per topping

c)

The cost will increase by $1.90 per topping

d)

The cost will decrease by $1.90 per topping

19.

The slope of the line between that passes through (-9,0) and (-4, 5) is...

a)

-9

b)

5/-13

c)

-1

d)

1

20.

What is the meaning of the y-intercept?

a)

Mrs. Franklin's meal will cost $6.85 if she brings no grandchildren.

b)

Mrs. Franklin's meal will cost $2.95 if she brings no grandchildren.

c)

Mrs. Franklin's bill will increase by $2.95 for every grandchild she brings.

d)

Mrs. Franklin's meal will decrease by $2.95 for every grandchild she brings.

21.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

22.

a)

Function

b)

Not a Function

23.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

24.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

25.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

26.

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)

27.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

28.

a)

8

b)

-24

c)

24

d)

-22

29.

a)

30

b)

62

c)

14

d)

32

30.

Evaluate f(-2) if f(x) = x+3

a)

-1

b)

1

c)

5

d)

-5

31.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

32.

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

33.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

34.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

35.

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

a)

After 5 week the plant is 4 inches tall

b)

The plant grows at a rate of 5/4 inch per week

c)

After 4 weeks the plant is 5 inches tall

d)

The plant grows at a rate of 1 inch per week

36.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

37.

a)

2

b)

11

c)

-11

d)

-9

38.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

39.

Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x

a)

8x - 32

b)

8x² - 32x

c)

8x - 8

d)

6x - 8

40.

f(x) = 3x + 10
g(x) = x - 2
Find g(f(x))

a)

3x + 8

b)

3x - 2

c)

3x + 4

d)

None of these.

41.

What is the solution to the system of linear equations?

a)

(2, 5)

b)

(3, 3)

c)

(-3, -3)

d)

(-2, -1)

42.

What is the solution to the system of linear equations?

a)

(0, 2)

b)

(-2, -2)

c)

(0, 1)

d)

(2, 0)

43.

Match the system of linear equations to the corresponding graph.

y=2x-5

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

a)

b)

c)

d)

44.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

a)

x + y = 15
4x + 2y = 44

b)

4x + 2y = 15
x + y = 44

c)

x = 2y + 44
4x = y + 15

d)

2x - 4y = 44
x - y = 15

45.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total.

To solve, I graphed:

x + y = 21

6x + 4y = 104

I got an intersection point at (10,11). What does that mean in context of the problem?

a)

There are 10 adults and 11 children.

b)

There are 11 adults and 10 children.

c)

The adults are $10 and the children are $11.

d)

There are 104 adults and 21 children.

46.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

(35, 52)

b)

(18, 69)

c)

( 52, 35)

d)

(61, 26)

47.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

48.

Solve the system.

a)

(1, 2, -2)

b)

(1, -3, -2)

c)

(-1, 3, 2)

d)

No Solution

49.

Solve the system.

a)

(3, -2, 4)

b)

(2, -3, 1)

c)

(-3, 2, -1)

d)

Infinitely many solutions

50.

What is the best first step to solve this system by elimination?

a)

Add the equations to eliminate y

b)

Multiply the first equation by 2

c)

Multiply the second equation by 2

d)

Add the equations to eliminate x

51.

Solve:
x + y = 4
-5x - 6y = -18

a)

(6, -2)

b)

(-6, 10)

c)

(2, 2)

d)

(-2, 6)

52.

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

53.

The linear regression equation is y = 61.93x - 1.79. According to the model, the slope can be interpreted as:

a)

After 0 hours of driving, they went 61.93 miles.

b)

They drove at a speed of 61.93 miles per hour.

c)

They drove 61.93 miles total.

d)

They drove 61.93 hours total.

54.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

55.

Describe the correlation in the graph shown.

a)

Strong Negative

b)

Strong Positive

c)

Weak Negative

d)

Weak Positive

56.

What would be the correlation between study time and test grades?

a)

positive

b)

negative

c)

none

d)

cannot be determined

57.

What type of correlation best describes the scatter plot shown?

a)

positive, weak

b)

positive, strong

c)

negative, weak

d)

no correlation

58.

what is the formula for linear regression?

a)

y=mx+b

b)

a^2+b^2=c^2

c)

y1~mx1+b

d)

(1/2)(b)(h)

59.

What letter do we use to represent correlation coefficient?

a)

c

b)

r

c)

p

d)

h

60.

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

61.

Put the equation in slope-intercept form:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

62.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

63.

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

64.

What are the coefficients in the expression 8x - 3 + 12xy?

a)

-3, 8, 12

b)

x, y

c)

8, 12

d)

There are no coefficients in this expression

65.

A number on its own that does not change and is without a variable is known as a _______________.

a)

Term

b)

Variable

c)

Coefficient

d)

Constant

66.

Identify the constants in the expression:

7-5x+1

a)

7

b)

1

c)

7 & 1

d)

5

67.

4 is the __________ of 4n.

a)

equation

b)

variable

c)

coefficient

d)

solution

68.

Which expression contains exactly 3 terms?

a)

5 + 6xy

b)

9 + 4t

c)

8 + 2y - 5x

d)

24xy

69.

Simplify the expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

70.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

71.

Solve the following problem.

(4x² +10x - 8) - (2x² - 2x + 6)

a)

2x² +8x - 2

b)

6x² -12x - 14

c)

2x² + 12x -14

d)

6x² + 8x + 2

72.

(x - 7)(x + 7)

a)

x² + 7x - 49

b)

x² - 7x + 49

c)

x² - 49

d)

x² + 49

73.

Find the product:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

74.

a)

20x²-20x-20

b)

20x²-20

c)

20x²+20x-20

d)

20x²+20

75.

6v(2v + 3)

a)

12v+18

b)

15v² + 8v

c)

12v² + 18v

d)

12v² + 18v²

76.

4a(5a²- a + 4)

a)

20a³- 4a²+ 16a

b)

20a²- 5a + 8a

c)

20a²+ 4a²+ 16a

d)

20a³+3a² + 16a

77.

Which equation has a vertex of (-3, 4)?

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

78.

What is the vertex for
f(x)=4(x-2)² + 3

a)

(-2, 3)

b)

(2,-3)

c)

(4,3)

d)

(2,3)

79.

Describe the transformation.

a)

Down 1

b)

Reflect over y-axis

c)

Up 1

d)

Reflect over x-axis

80.

What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.

a)

x≥3

b)

x≤3

c)

All real numbers

d)

-1≤x≤5

81.

Describe the transformation of the equation below from the parent function of y = I x I

y = -2 I x - 3 I + 3

a)

reflected across x-axis, vertical stretch by 2, right 3, up 3

b)

reflected across x-axis, vertical stretch by 2, left 3 up 3.

c)

reflected across x-axis, vertical compression by 2, right 3, up 3

d)

reflected across the x-axis, vertical compression by 2, left 3, up 3

82.

What is the range?

a)

$y\ge3$

b)

$y\ge2$

c)

$x\ge3$

d)

all real numbers

83.

Describe the transformation that occurred

g(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

84.

Describe the transformation that occurred.

g(x) = f(x) + 2

a)

up 2 units

b)

left 2 units

c)

Vertical Stretch

d)

right 2 units

85.

Given g(x) = f(x-3) + 5. What transformations took place from the original function f(x)?

a)

Left 3 up 5

b)

Right 3 down 5

c)

Left 3 down 5

d)

Right 3 up 5

86.

Describe the transformation of the equation below from the absolute value parent function. SELECT ALL THAT APPLY $g\left(x\right)=\frac{1}{2}f\left(x+3\right)-2$

a)

right 3

b)

left 3

c)

Down 2

d)

Shrink by 1/2

e)

stretch by 2

87.

If the blue graph is f(x),the red must be...

a)

g(x) = f(x + 3)

b)

g(x) = f(x - 3)

c)

g(x) = f(x)+ 3

d)

g(x) = f(x)- 2

88.

Describe the transformation from dotted to solid.

a)

g(x) = f(x + 5) + 3

b)

g(x) = f(x +3) + 5

c)

g(x) = f(x - 5) + 3

d)

g(x) = f(x - 3) + 5

89.

What direction is this function stretched or shrunk in?

$f\left(x\right)=\sqrt[]{3x-9}$

a)

stretched horizontally

b)

shrunk horizontally

c)

stretched vertically

d)

shrunk vertically

90.

What is the parent function for a Quadratic equation?

a)

b)

c)

d)

y=x

91.

Describe the transformation of y = f(x) for the new function
f(x) = ⅔(x - 7)²

a)

Wider by ⅔

Right 7

b)

Narrower by ⅔ Left 7

c)

Narrower by ⅔ Right 7

d)

Wider by ⅔

Left 7

92.

Which of the following shows a horizontal stretch of the parent function?

a)

2f(x)²

b)

-f(x)²

c)

f(1/3x)²

d)

f(3x)²

93.

Graph x - 3y = 6

94.

Graph the equation $y=\left(x+3\right)^2-5$

24/25 Practice Exam Semester 1

Total questions: 94

Worksheet time: 6hrs 7mins

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