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Math 1 NC Check In 2 Review

Total questions: 81

Worksheet time: 14hrs 30mins

Name
Class
Date
1.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
2.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
3.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
4.

What is the domain of the graph shown?

a)

{-2, -1, 0, 1, 2, 3, 4}

b)

{2, 3, 4}

c)

2 ≤ y ≤ 4

d)

-2 ≤ x ≤ 4

5.
What is the domain of the graph?
a)
-3 ≤ x ≤ 3
b)
3 ≤ x ≤ -3
c)
-2 ≤ x ≤ 10
d)
-3 ≤ x ≤ 10
6.
What is the range of the graph?
a)
-2 < y < 10
b)
-3 < x < 3
c)
-2 ≤ y ≤ 10
d)
-3≤ x ≤ 3
7.
What is the range of the graph?
a)
x≤0
b)
y≥0
c)
y≤0
d)
All real numbers
8.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t2 + 64t + 80

What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

9.

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t2 + 8t + 24

How long would it take you to hit the water?

a)

8 seconds

b)

1 second

c)

1.5 seconds

d)

1/4 second

10.

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t2 + 8t + 24

How high is the platform?

a)

.25 ft

b)

24 ft

c)

25 ft

d)

8 ft

11.

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t2 + 80

About how long did it take for the balloon to hit the ground?

a)

1.73 seconds

b)

2.24 seconds

c)

2.45 seconds

d)

2.83 seconds

12.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
13.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
14.
Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 
a)
(5, 8)
b)
(5, -8)
c)
(-5, -18)
d)
(-5, 8)
15.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
a)
yes
b)
no
16.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
17.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 
a)
y = 9.65 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
18.

The substitution method will be used to solve this system of equations.


x+2y=7x+2y=7  
2x−7y =32x-7y\ =3  
Which equation would lead to a correct solution with this method?

a)

(7−2y)+2y=7\left(7-2y\right)+2y=7  

b)

(7+2y)+2y=7\left(7+2y\right)+2y=7  

c)

2(7−2y)−7y=32\left(7-2y\right)-7y=3  

d)

2(7+2y)−7y=32\left(7+2y\right)-7y=3  

19.

What is the solution to the system of equations below?


2x+y=72x+y=7  
3x+2y=163x+2y=16  

a)

(2,5)

b)

(2,11)

c)

(-2,-11)

d)

(-2,11)

20.

Caroline is considering two video game rental plans. Plan A can be modeled with the equation  C=2nC=2n  , and Plan B can be modeled with the equation  C=n+6C=n+6  where C represents the cost in dollars and n represents the number of games rented each month. Which statement would justify selecting Plan A instead of selecting Plan B?

a)

Caroline rents exactly 7 games each month.

b)

Caroline rents exactly 6 games each month.

c)

Caroline rents exactly 6 or more games each month.

d)

Caroline rents from 1 to 5 games each month.

21.

What are the

roots (x-intercepts) of the function

f(x)= (x - 2)(x + 3)?

a)

x = - 2 or x = 3

b)

x = 2 or x = -3

c)

The are no real roots

d)

x = 2 or x = 3

22.

What is the vertex of this function?

a)

(0, -3)

b)

(1, -4)

c)

(-2, 5)

d)

{-1, 3}

23.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

24.

What is the orange line called?

a)

Line of Solutions

b)

Roots

c)

Vertex

d)

Axis of Symmetry

25.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
26.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
27.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
28.
Calculate the zeros of the quadratic.
a)
x = 2 and -3
b)
x = 0 and 9/4
c)
x = 0 and 4/9
d)
x = 1/2 and 1/3
29.
Calculate the zeros of the quadratic.
a)
x = 6 and 3
b)
x = 1 and 0
c)
x = 0 and 3
d)
x = 3 and 1
30.

Carlee mowed her next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job she counted out the coins and it came to $6.60. How many nickels and dimes did Carlee earn?

a)

40 nickels, 40 dimes

b)

52 nickels, 28 dimes

c)

28 nickels, 52 dimes

d)

30 nickels, 50 dimes

31.

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

32.
What is the initial value in this equation?
y=8x+6
a)
8
b)
6
33.
What is the rate of change in the equation?
y=8x+6
a)
8
b)
6
34.

Which function has the GREATEST rate of change?

a)
b)
c)
d)
35.

Which function has the GREATEST initial value?

a)
b)
c)
d)
36.

Identify the formula used to find slope.

a)

m=y2−y1x2−x1m=\frac{y_2-y_1}{x_2-x_1}

b)

m=y1−y2x1−x2m=\frac{y_1-y_2}{x_1-x_2}

37.

Which of the following statements is true about the functions f(x) and g(x)?

a)

The y-intercept of the function f(x) is less than the y-intercept of the function g(x).

b)

The y-intercept of the function f(x) is greater than the y-intercept of the function g(x).

c)

The y-intercept of the function f(x) is equal to than the y-intercept of the function g(x).

d)

The y-intercepts cannot be determined.

38.

Find the rate of change of the line that passes through points (0, 2) and (2, 6).

a)

12\frac{1}{2}

b)

2

c)

-2

d)

−12-\frac{1}{2}

39.

Compare the initial values and rate of change of both functions.

a)

Both functions have the same initial value and rate of change.

b)

The functions have different initial values and different rates of change.

c)

The rates of change are the same, but the initial values differ.

d)

The initial values are the same, but the rates of change differ.

40.

Which company shows a greater rate of change?

4 lines
41.

Compare the rates of change. Do they have the same rate of change? If they have different rates of change, which one is greater?

4 lines
42.

Compare the function represented by the equation with the function represented by the table. Which function has a greater y-value when x = 0?

a)

Table

b)

Equation

c)

Same

43.
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
a)
5n+1
b)
-5n+1
c)
-2n+1
d)
-6n-1
44.
f(x)=x2+1
g(x)=2x-5
Find f(x)-g(x)
a)
x2-2x+6
b)
-x2+2x+4
c)
-x2-2x-6
d)
x2-2x-4
45.
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f - g)(x).
a)
x2 + 8x + 1
b)
x2 + 6x - 1
c)
5x2 + 8x - 1
d)
x2 + 8x -1
46.
Given
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
a)
11x2 - 1
b)
5x4 + 6x2 - 1
c)
5x2 + 6x - 1
d)
5x2 + 8x - 1
47.

Leslie's car travels about 25 miles per gallon of gas. Her car needs 14 gallons of gas to be full. What is a reasonable domain?

a)

x≥25x\ge25

b)

0≤y≤140\le y\le14

c)

x≤14x\le14

d)

0≤x≤140\le x\le14

48.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Above
49.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
50.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(15,000)x
b)
y=15,000(1 + .08)x
c)
y=15,000(1 - .08)x
d)
y=15,000(0.08)x
51.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
52.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
53.

Level 3 Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

54.

Which graph represents a quadratic relation?

a)
b)
c)
d)
55.
Is this table linear, quadratic, exponential, or none of the above?
a)
linear
b)
quadratic
c)
exponential
d)
none of the above
56.

Is the table linear, exponential, Quadratic, or not a function at all?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Not a function

57.

Is it linear, quadratic, or exponential?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Outrageously outrageous

58.

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

a)

$9,004.07

b)

$2,2848.80

c)

$9,011.94

d)

$8,242.71

59.

Voting in Pokemon Go's annual community day elections has been decreasing by 5% from one election to the next. If 912 citizens voted this year, how many will vote 3 years from now? If necessary, round your answer to the nearest whole number.

a)

114 citizens.

b)

782 citizens.

c)

1,056 citizens.

d)

3,078 citizens.

60.

Which of the following is not an arithmetic sequence?

a)

1/2, 1, 3/2, 2

b)

11, 14, 17, 20

c)

2, 4, 8, 16

d)

5, 2, -1, -4

61.

Identify the next three terms of the sequence below:

-6, -10, -14,...

a)

-17, -21, -25

b)

17, 21, 25

c)

18, 22, 26

d)

-18, -22, -26

62.

Write the explicit formula for the sequence shown below.

3, -3, -9, -15

a)

an=3+6(n-1)

b)

an=3−6(n-1)

c)

an=6−3(n-1)

d)

an=6+3(n-1)

63.

Write the explicit formula for the sequence shown below.

1, 6, 11, 16

a)

an=1+5(n-1)

b)

an=1−5(n-1)

c)

an=5−(n-1)

d)

an=5+(n-1)

64.

What is the 20th term of the arithmetic sequence shown below.

7, 4, 1,...

a)

-49

b)

50

c)

-50

d)

-51

65.

An arithmetic sequence is described by the function f(n)=−3n+7. What are the first 5 terms of the sequence?

a)

7, 10, 13, 16, 19

b)

4, 1, -2, -5, -8

c)

-4, -1, 2, 5, 8

d)

-7, -10, -13, -16, -19

66.
Find the slope:
(-3, 3) and (7, 6)
a)
3/4
b)
-4/3
c)
3/10
d)
-10/3
67.
Writing Equations:
Given the following table, write the linear equation.
a)
y = 9x + 3
b)
y = 3x + 12
c)
y = 3x + 9
d)
y = 1x + 12
68.
Given the following tile pattern, how many tiles would be in the 5th shape?
a)
b = 8
b)
b = 11
c)
b = 7
d)
b = 9
69.

How many cubes are in the 4th arrangement?

a)

8 cubes

b)

10 cubes

c)

12 cubes

70.
What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?
a)
Arithmetic
b)
Geometric
c)
Neither
71.
For each sequence, state if it is arithmetic, geometric, or neither.
−34, −26, −18, −10, −2, ... 
a)
Arithmetic
b)
Geometric
c)
Neither
72.

Given the sequence:

125, 25, 5, ....

Write the rule an using the geometric sequence formula:

a)

an = (125)(1/5)(n-1)

b)

an = 625(1/5)(n-1)

c)

an = 625(5)(n-1)

d)

an = 125 + 5n

73.

What is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3?

a)

384

b)

768

c)

1,536

d)

27

74.

Which function has a smaller y-intercept?

a)

y=−2(x+1)2+7y=-2\left(x+1\right)^2+7  

b)

y=3(x+1)2+1y=3\left(x+1\right)^2+1

75.

Compare the function below to the graph pictured. Which has a larger maximum?

f(x)=−x2+6x−2f\left(x\right)=-x^2+6x-2  

a)

Graph

b)

Equation

76.

In the Jurassic Park movies, Velociraptors jump according the the equation provided below. The Indominus Rex's jump path is described in the table pictured. Which dinosaur jumps higher?

Velociraptors:

f(x)=−x2+3x+5f\left(x\right)=-x^2+3x+5  

a)

Velociraptor

b)

Indominus Rex

77.

Which axis of symmetry is further to the left?

a)
b)
78.

Compare the given graph with the equation y=(x+4)2y=\left(x+4\right)^2  . Which quadratics x-intercept is further to the left?

a)

The graph

b)

The equation

c)

Neither, they are the same

79.
What are the zeros?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
80.

Which statement below is TRUE regarding the two functions?

a)

Both functions are linear

b)

Both functions are increasing

c)

Both functions have a y-intercept of 1

d)

Both functions are exponential growth

81.

If I join the gym for a start up fee of $40 and monthly fee of $10, what is the domain? (Equation: f(x)=40+10x)

a)

-4, -3, -2, -1, 0.....

b)

$10, $20, $30, $40......

c)

0, 1, 2, 3.....

d)

1, 2, 3, and 4

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