Free Printable Semester 1 EXAM

1.

Which set of points would produce a line with the slope of $-\frac{3}{2}$ ?

a)

(5, 7) and (7,4)

b)

(3,2) and (1,-3)

c)

(-3,0) and (0,-2)

d)

(5,2) and (8,0)

2.

Write the equation.

a)

f\left(x\right)=\left|x+3\right|-4

b)

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

c)

$f\left(x\right)=-\left|x-3\right|-4$

d)

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

3.

Match:

$y=\left|x\right|+3$

a)

b)

c)

d)

4.

Name the parent function.

a)

linear

b)

quadratic

c)

absolute value

d)

cubic

5.

Name the parent function.

a)

linear

b)

quadratic

c)

cubic

d)

logarithmic

6.

What does the transformation $f\left(x\right)\ \rightarrow\ f\left(x+1\right)-9$ do to the graph of $f\left(x\right)$ ?

a)

translates it left one unit and down 9 units

b)

translates it right one unit and down 9 units

c)

translates it up one unit and right 9 units

d)

translates it down one unit and left 9 units

7.

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

a)

-f(x)

b)

f(-x)

c)

f^-1(x)

d)

f(2x)

8.

Identify the transformations.

a)

horizontal shift to the left 2 and vertical stretch by a factor of 3

b)

horizontal shift to the right 2 and vertical stretch by a factor of 3

c)

horizontal shift to the right 2 and vertical shrink by a factor of 3

d)

horizontal shift to the left 2 and vertical shrink by a factor of 3

9.

If the original function is f(x) then state the transformation that takes f(x) to g(x) = |-x + 3|

a)

Reflect over y-axis
Left 3

b)

Reflect over y-axis
Right 3

c)

Reflect over x-axis
Left 3

d)

Reflect over x-axis
Right 3

10.

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

a)

(-2, 5)

b)

(-6, 5)

c)

(-4, 3)

d)

(-4, 7)

11.

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

a)

Reflect over y-axis
Shifted down 10 units
Shifted left 6 units

b)

Reflect over x-axis
Shifted up 10 units
Shifted left 6 units

c)

Reflect over y-axis
Shifted up 10 units
Shifted right 6 units

d)

Reflect over x-axis
Shifted down 10 units
Shifted left 6 units

12.

Describe the transformation of y = f(x) to the new function
y = f(1/5x)

a)

Horizontal shrink by a factor of 1/5

b)

Vertical stretch be a factor of 5

c)

Vertically shrink by a factor of 1/5

d)

Horizontal stretch by a factor of 5

13.

Estimate the correlation coefficient

a)

r=-1

b)

r=1

c)

r=-0.5

d)

r=0.5

14.

Determine which ordered triple is a solution of the systems of equations?
2x+y=0
x+3y-z=-11
7x+5y+4z=21

a)

(0,0,11)

b)

(1,-2,6)

c)

(-1,2,-16

d)

(0,1,-14)

15.

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

a)

y=15x-25

b)

y = 25x + 15

c)

y = 15x + 15

d)

y=15x+25

16.

Which of the following equations may be used to generate the graph shown?

a)

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

b)

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

c)

$y\ =\ \frac{1}{5}x\ -\ 2$

d)

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

17.

A garbage pickup service charges a flat weekly rate plus an amount per pound of garbage collected. If Jayden has 30 pounds of garbage and is charged $13 and Shay has 50 pounds of garbage and is charged $19, How much will Haeley have to pay for her 23 pounds of garbage?

(a)

18.

What is the meaning of the y-intercept?

a)

Colby's initial deposit was $100.

b)

Colby's initial deposit was $150

c)

Colby is adding $5 per week

d)

Colby is adding $10 per week

19.

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

20.

Given the table, write the equation in the slope-intercept form.

a)

y = 1/3x + 6

b)

y = 3x + 6

c)

y = 2x + 6

d)

y = 1/2x + 6

21.

Write the equation of the line that passes through the points
(3, 3) and (4, -1).

a)

y = -4x - 15

b)

y = 1/4x + 15

c)

y = -4x + 15

d)

y = -1/4x - 15

22.

Find the slope of the following equation. (Hint: put in slope-intercept form)
3x-6y=12

a)

3

b)

-3

c)

-1/2

d)

1/2

23.

A taxi company charges a fixed cost for using the taxi, plus a cost per kilometre travelled.

HOW MUCH IS THE FIXED COST OF THE TAXI FARE?

a)

$4

b)

$3

c)

2km

d)

0km

e)

$0

24.

Graph the equation

y = -2/3 x - 9

25.

Find f(2)

a)

5

b)

4

c)

3

d)

0

26.

If f(x) = 19, Find the value for x.

a)

0

b)

1

c)

2

d)

3

27.

Given f(x) = -x + 12, find f(-2).

(a)

28.

Given f(x) = x² + 3x + 1, find f(-4).

(a)

29.

$f\left(n\right)=4-10n$

If f(n) = 14, what is the value of n?

a)

1

b)

-1

c)

-136

d)

-6

30.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

e)

TV channel

31.

Translate the coordinate pair into function notation.

$\left(0,8\right)$

a)

$f\left(0\right)=8$

b)

$f\left(0\right)=-8$

c)

$f\left(8\right)=0$

d)

$f\left(-8\right)=0$

e)

$f\left(x\right)=8$

32.

Which graph represents a function?

a)

b)

c)

d)

33.

Does the table represent a function?

a)

Yes

b)

No

34.

Name the DEPENDENT variable from the table below.

a)

minutes

b)

bubbles

c)

there is not one

d)

distance

e)

time

35.

The graph represents gasoline consumption when driving a certain distance in km. What is the meaning of the slope?

a)

The tank started with 50 L of gasoline

b)

the amount of gasoline consumed per km driven

c)

the distance it takes to lose a Liter of gas

d)

the gasoline is leaking because the slope is negative.

36.

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles. y = 0.5x + 10. What does the slope of the graph of this equation represent?

a)

The daily fee for the moving truck

b)

The per-mile fee for the moving truck

c)

How much Charlie paid for the truck

d)

The number of miles he drove

37.

Given f(x) = 2x and
g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

38.

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

a)

-42

b)

-26

c)

-18

d)

None of these.

39.

Graph the equation $x\ +2y=4$

40.

Graph the function If the quadratic parent function is reflected over the x and translated 2 to the right.

41.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

42.

What is the coefficient of x?
8 + 5x - y

a)

8

b)

0

c)

5

d)

-5

43.

What are the terms of:
3x - 2y + 4

a)

3x, 2y, 4

b)

3x, -2y, 4

c)

3x, -2y

d)

3x, 2y

44.

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

45.

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

46.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

47.

What is the domain of this graph?

a)

All Real Numbers

b)

x ≥ -2

c)

x < 6

d)

-2 < x < 6

e)

x ≤ -2

48.

What is the range of the following graph?

a)

All Real Numbers

b)

x ≤ 7

c)

y = 3

d)

y > -3

49.

What is the range of the graph?

a)

[-15, 9]

b)

(-∞, ∞)

c)

(-15, ∞)

d)

[-15, ∞)

50.

What is the solution to this system of equations?

a)

(1,4)

b)

(4,1)

c)

(3,5)

d)

(-1, 4)

51.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

52.

Solve the following system:
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

53.

Which statement is true based on the graph?

a)

At 7 weeks, both Renee and Paul will have saved $80.

b)

At 8 weeks, both Renee and will have saved $70.

c)

At 8 weeks, Renee will have saved more than Paul.

d)

At 9 weeks, Paul will have saved more than Renee.

54.

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

a)

$5

b)

$10

c)

$15

d)

$20

55.

What type of correlation is shown in this plot?

a)

Positive

b)

Negative

c)

No Correlation

56.

Which sentence describes the relationship shown on this scatter plot?

a)

The more time spent training, the longer it takes to run 100 m.

b)

As the time spent training increases, the time to run 100 m decreases.

c)

As the time spent training decreases, the time to run 100 m decreases.

57.

Which of the following is the best estimate of the correlation coefficient for the line of best fit shown in the scatter plot?

a)

-0.9

b)

-0.4

c)

0.4

d)

0.9

58.

Determine the linear regression equation for the data set. Use desmos table and the formula $y_1\sim mx_1+b$

a)

y=20.8x-35

b)

y=-35x+20.8

c)

y=.99x-35

d)

y=.98x+.99

59.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

60.

a)

h=V/(3πr²)

b)

h=(3V)/(πr²)

c)

h=V/(3πr²)

d)

h=(3π)/(Vr²)

61.

Using the elimination method, solve the system of equations. Write your answer as a coordinate point, (x,y,z). (NO SPACES)

(a)

62.

Which system of equations represent the following problem? Pam, Mark, and Will went shopping for Halloween treats. Pam bought 3 chocolate pumpkins, 4 masks and 8 candy witches. He spent $36.65. Mark bought 5 chocolate pumpkins, 3 masks and 10 candy witches. He spent $37.50. Will bought 4 chocolate pumpkins, 5 masks, and 6 candy witches. He spent $43.45.

a)

b)

c)

d)

63.

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n² + 2

c)

12n² + 12n + 2

d)

12n² + 14n + 2

64.

Multiply
(4x+3)(2x-1)

a)

8x²-2x-3

b)

8x-3

c)

8x²+6x-3

d)

8x²+2x-3

65.

Simplify the expression.
x³(2x²+3x)

a)

2x⁵+3x⁴

b)

2x⁶+3x³

c)

5x⁹

d)

5x

66.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

67.

Which of the following polynomials is written in standard form?

a)

9 + 8x - 2x²

b)

10x + x³ - 4x² - 11

c)

x⁴ + 5x³ - 6x +1

d)

4x³+ 3x⁴ + 2x + 1

68.

Add the polynomials.
(2x + 5y) + (3x - 2y)

a)

3x + 5y

b)

5x + 3y

c)

5x + 7y

d)

7xy + 1xy

69.

Simplify.
$\left(8+6k-5k^2\right)-\left(8-7k^4+3k\right)$

a)

$6k^4-10k^2+3k$

b)

$6k^4-5k^2+3k$

c)

$6k^4-10k^2$

d)

$7k^4-5k^2+3k$

70.

graph the function

f(x) = (x-6)^2 + 2

Semester 1 EXAM

Total questions: 70

Worksheet time: 5hrs 52mins

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