Free Printable RF1 Unit 1 Review

1.

Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately 550 meters when it was first discovered. The thickness of the ice shelf is decreasing at an average rate of 0.08 meters per day. Which function can be used to find the thickness of the ice shelf in meters x days since the discovery?

The thickness of the ice shelf

is decreasing at an average rate of 0.08 meters

per day.

Which function can be used to find the thickness

of the ice shelf in meters x days since the

discovery?

a)

y = -550 + 0.08x

b)

y = 550 - 0.08x

c)

y = -0.08 + 550x

d)

y = 0.08 + 550x

2.

Cars 'R' Us car rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven.

Which function models the total cost, $C\left(x\right)$ , of renting a car for x miles.

a)

$C\left(x\right)=0.35x-24$

b)

$C\left(x\right)=0.35x+24$

c)

$C\left(x\right)=24x-0.35$

d)

$C\left(x\right)=24x+0.35$

3.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

4.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

5.

What is a function in math?

a)

A group of letters

b)

A rule that relates an input set to an output set

c)

A collection of numbers

d)

A type of equation

6.

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Which function can be used to model the value of the land after x years?

a)

$f\left(x\right)=30,000\left(1.05\right)^x$

b)

$f\left(x\right)=30,000\left(0.95\right)^x$

c)

$f\left(x\right)=30,000\left(0.05\right)^x$

d)

$f\left(x\right)=5\left(30,000\right)^x$

7.

If $f\left(x\right)=\left(\frac{1}{2}\right)^x$ , what is the average rate of change over the interval [-4,-2]?

a)

6

b)

-6

c)

12

d)

-12

8.

The expression 600(3)^d models the number of digital files in a database as a function of the number of days since a new policy on data collection was implemented.

What does 600 represent in this expression?

a)

The number of files triples every 600 days

b)

There were 600 files initially

c)

The policy has been in effect for 600 days

d)

There were 3 files to begin with

9.

Example: A car bought for $13,000 depreciates at 12% annually.

Is this problem describing exponential growth or decay?

a)

Growth

b)

Decay

10.

Example: Anne currently brings in an annual salary of $46,000 and anticipates a raise of 5% every year.

Is this problem describing exponential growth or decay?

a)

Growth

b)

Decay

11.

What is the growth rate in the problem below?

f(t) = 300(1.05)^t

a)

300

b)

1.05

c)

t

d)

y

12.

If you were to plot the point (4, -12) what would be the correct method?

a)

Up 4, left 12

b)

Right 4, up 12

c)

Down 4, left 12

d)

Right 4, down 12

13.

Y-intercept is where the line ______________.

a)

begins

b)

crosses the x-axis

c)

crosses the y-axis

d)

ends

14.

Which graph represents y as a function of x?

a)

b)

c)

d)

15.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

16.

X values are also called...

a)

Domain

b)

Range

c)

Input

d)

Output

e)

Independent Variable

17.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has exactly ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

e)

All continuous graphs with a range and domain.

18.

Solve the system of equations

y = 5x + 1

y = 3x + 13

a)

(6, 31)

b)

(31, 6)

c)

(4, 21)

d)

(2, 11)

19.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

20.

What is the Solution to this system?

a)

(2,-2)

b)

(-2,2)

c)

All Real Numbers

d)

No Solution

21.

Solve the systems with any method you choose: Check all that apply:

a)

x= -5/2

b)

y=-5/2

c)

No Solutions

d)

Infinitely Many Solutions

e)

x=0

22.

When solving a system of equations algebraically, which statement results in infinite solutions?

a)

4 = 7

b)

2 = 2

c)

-3 = 3

d)

all of the above

23.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

24.

$\left(2x^5y^4\right)\left(4xy^3\right)=$

a)

$6x^6y^7$

b)

$8x^5y^7$

c)

$8x^6y^7$

d)

$6x^5y^{12}$

25.

$\left(9r^5q^3\right)^2=$

a)

$18r^{10}q^6$

b)

$81r^{10}q^6$

c)

$18r^7q^5$

d)

$81r^7q^5$

26.

What is the range?

a)

[-∞, +∞]

b)

[-2, 2]

c)

(-∞, ∞)

d)

[0, 2]

27.

For which value is the expression undefined?

a)

-4

b)

-3

c)

3

d)

0

28.

What is the domain restriction of $f\left(x\right)=\frac{3}{2x+7}$ ?

a)

$x\ne\frac{7}{2}$

b)

$x\ne-\frac{7}{2}$

c)

$x\ne-7$

d)

$x\ne7$

29.

Find the domain $f\left(x\right)=\frac{6}{\sqrt{x}}$

a)

All real numbers but $x\ne0$

b)

$x\ge0$

c)

$x>0$

d)

All real numbers

30.

Find the domain: $\frac{3x}{\sqrt[\ ]{x-2}}$

a)

All reals

b)

$x>2$

c)

$x\ge2$

d)

$x\le2$

31.

What type of function is this?

a)

Linear Function

b)

Quadratic Function

c)

Exponential Function

d)

Not a Function

32.

What type of function does this equation represent?
$Y=4\left(\frac{1}{2}\right)^x$

a)

Linear Function

b)

Quadratic Function

c)

Exponential Function

d)

Not a Function

33.

What type of function does this table represent?

a)

Linear Function

b)

Exponential Function

c)

Periodic

d)

Not a Function

34.

This graph is

a)

Linear

b)

Exponential

c)

Periodic

35.

The period of a function is

a)

how long one cycle is before the function repeats

b)

how high and low the function goes from the center line

c)

the range of the function

36.

Find the period of the function

a)

6

b)

3

c)

2

37.

What is the minimum height on the Ferris wheel?

a)

1

b)

4

c)

7

d)

0

38.

a)

Function

b)

Not a Function

39.

a)

Function

b)

Not a Function

40.

During which time interval does this object has positive acceleration?

a)

0 s to 4 s

b)

1 s to 4 s

c)

4 s to 6 s

d)

0 s to 6 s

41.

Joshua can run 6 km in 30 minutes. What is his unit rate in km per minute?

a)

5 km per minute

b)

0.2 km per minute

c)

2 km per minute

d)

3.5 km per minute

42.

Describe the motion in section D.

a)

deceleration

b)

constant acceleration

c)

constant velocity

d)

increasing velocity

43.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

e)

TV channel

44.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

e)

f(1) = -1

45.

Which graph represents a function?

a)

b)

c)

d)

46.

Which image is NOT the graph of a function?

a)

b)

c)

d)

47.

Name the DEPENDENT variable from the table below.

a)

minutes

b)

bubbles

c)

there is not one

d)

distance

e)

time

48.

Does the table represent a function?

a)

Yes

b)

No

49.

a)

Function

b)

Not a Function

50.

Write an equation from the graph using (p) for price and (w) for weight.

a)

p = 20w

b)

w = 20p

c)

p = 20p

d)

w = 20w

51.

What is the slope in the equation?

y-2x=4

a)

2

b)

-2

c)

4

d)

-4

52.

Is this set of ordered pairs a function and how can you tell?

a)

Yes its a function because no y values repeat

b)

No it's not a function because there are negative numbers

c)

No it isn't a function because an x value repeats but has different y values

d)

No it isn't a function because an y value repeats but has different x values

53.

.

a)

Function

b)

Not a Function

54.

Look at the graph. Is the relation a function?

a)

yes

b)

no

55.

A function is when each x value has

a)

one y value.

b)

unlimited y values.

56.

Function or not a function?

a)

Function

b)

Not a function

57.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

58.

Use the function $f\left(x\right)=$

$3x-5,\ \ \ x\le3$

5x-10,\ \ \ x>3

to find

f\left(0\right)

a)

-5

b)

-10

c)

0

d)

3

59.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

a)

1s + 3c = 38
2s + 3c = 52

b)

3s + 1c = 38
3s + 2c = 52

c)

s + c = 38
s + c = 52

d)

3s + 3c = 38
1s + 2c = 52

60.

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

a)

t: # of tacos
m: # of glasses of milk

b)

t: Cost of each taco
m: Cost of each glass of milk

c)

t: total cost
m: # of food items

d)

t: Cost of each glass of milk
m: Cost of each taco

61.

f(x) = x+8 find f(-4)

a)

-2

b)

6

c)

2

d)

4

62.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

63.

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

a)

f(x) = 21+1

b)

f(1) = 2 (1) + 1

c)

f(1) = 2x (1) + 1

64.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

65.

Use the graph to evaluate $f\left(9\right)$

a)

Not possible

b)

5

c)

3

d)

8

66.

Use the graph to solve $f\left(x\right)=4$

a)

x=2

b)

x=6

c)

x=3

d)

Not possible

67.

For the function f(x) = -3(x-1) find f(0).

a)

0

b)

-3

c)

3

d)

-1

68.

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

a)

7

b)

-2

c)

-9

d)

-10

69.

How would you say h(n)

a)

n of h

b)

h of n

70.

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

71.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

72.

Let f(X) = $\frac{2}{x-5}$ , what would f(x+3) equal to? Hint: The expression of x+3 needs to be inserted in for x and simplified.

a)

-1

b)

$\frac{2}{x-2}$

73.

Write the function for the following table:

a)

$f\left(x\right)=5\left(.08\right)^x$

b)

$f(x)=5\left(2\right)^x$

c)

$f(x)=.08\left(5\right)^x$

d)

$f(x)=2\left(5\right)^x$

74.

Which of these is NOT the same

a)

Range

b)

Input

c)

Dependent Value

d)

Y-Value

75.

What is the correct sequence for converting Fahrenheit to Celsius?

a)

Subtract 32, multiply by 5, then divide by 9

b)

Add 32, multiply by 5, then divide by 9

c)

Subtract 32, divide by 5, then multiply by 9

d)

Add 32, divide by 5, then multiply by 9

76.

What is the correct sequence for converting Celsius to Fahrenheit?

a)

Subtract 5, multiply by 32, then divide by 9

b)

Add 32, multiply by 5, then divide by 9

c)

Multiply by 9, divide by 5, then add 32

d)

Subtract 32, divide by 5, then multiply by 9

77.

What is the first step in converting Fahrenheit to Celsius?

a)

Divide the Fahrenheit by 9

b)

Multiply the Fahrenheit by 5

c)

Add 32 to the Fahrenheit

d)

Subtract 32 from the Fahrenheit

78.

What is the first step in converting Celsius to Fahrenheit?

a)

Multiply the Celsius by 9

b)

Divide the Celsius by 5

c)

Add 32 to the Celsius

d)

Subtract 32 from the Celsius

79.

$40\degree C=?$

a)

104 F

b)

100 F

c)

130 F

d)

96 F

80.

If the temperature is 77°F, what is it in Celsius?

a)

20°C

b)

22°C

c)

25°C

d)

28°C

81.

Which is the formula to convert degrees Fahrenheit to degrees Celsius?

a)

$C=\frac{9}{5}F-32$

b)

$C=\frac{9}{5}\left(F-32\right)$

c)

$C=\frac{5}{9}F-32$

d)

$C=\frac{5}{9}\left(F-32\right)$

82.

What is the domain of the following function? f(x)= $\frac{3}{7}x\ +2$ . Be mindful, this IS a linear function.

a)

All real numbers

b)

$x\ge7$

c)

$x\ne7$

d)

$x>2$

83.

What is the slope?

a)

0.25

b)

-0.25

c)

5

d)

4

84.

the "x" in y = mx + b stands for...

a)

y-intercept

b)

slope

c)

the x-value of a point

d)

the y-value of a point

85.

the "b" in y = mx + b stands for...

a)

y-intercept

b)

slope

c)

the x-value of a point

d)

the y-value of a point

86.

What is an equation for the line that passes that passes through the points (1,1) and (3,5)?

a)

y = x + 2

b)

y = 1x -2

c)

y = 2x + 1

d)

y = 2x - 1

RF1 Unit 1 Review

Total questions: 86

Worksheet time: 3hrs 6mins

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