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3/10 - Math 1 Check In 2 Review

Total questions: 100

Worksheet time: 7hrs 59mins

Name
Class
Date
1.

What is the solution?

** Write it as an ordered pair such as: (-1, 2)

(a)  

2.

The difference of a and b is 3. The sum of a and b is 13. Find the values of a and b.

a)

a = 7

b = 10

b)

a = 8

b = 5

c)

a = 10

b = 13

d)

a = 6.5

b = 2

3.

The difference of a and b is 3. The sum of a and b is 13. Find the values of a and b.

a)

a = 7

b = 10

b)

a = 8

b = 5

c)

a = 10

b = 13

d)

a = 6.5

b = 2

4.

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

5.

Jenna sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Maggie sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

a)

Sugar Cookies $5

Oatmeal Cookies $3

b)

Sugar Cookies $4

Oatmeal Cookies $8

c)

Sugar Cookies $2

Oatmeal Cookies $6

d)

Sugar Cookies $3

Oatmeal Cookies $6

6.

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

7.

Wyatt and Emerson went shopping at a back-to-school sale where all shirts and shorts were the same price. Wyatt spent $175 on 7 new shirts and 7 pairs of shorts. Emerson 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

8.

Gracie sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. She sold 21 tickets total. How many of each type of ticket did Gracie sell?

a)

10 adults, 11 children

b)

12 adults, 9 children

c)

11 adults, 10 children

d)

9 adults, 12 children

9.

Chase 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, Chase made a total of $78.50 and sold a total of 87 nachos and sodas combined. How much of each item did he sell?

a)

35 nachos, 52 sodas

b)

18 nachos, 69 sodas

c)

52 nachos, 35 sodas

d)

61 nachos, 26 sodas

10.

The senior class at Franklinton High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Louisburg High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

a)

Van: 43

Bus: 14

b)

Van: 11

Bus: 21

c)

Van: 14

Bus: 43

d)

Van: 17

Bus: 45

11.

On the first night, Raleigh Grande sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

a)

Adult $13

Child $5

b)

Adult $10

Child $6

c)

Adult $8

Child $16

d)

Adult $12

Child $13

12.

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

a)

20 Multiple Choice

b)

10 Multiple Choice

c)

15 Multiple Choice

d)

5 Multiple Choice

13.

Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?

a)

8 large, 2 small

b)

6 large, 4 small

c)

4 large, 2 small

d)

2 large, 2 small

14.

In a pasture, there are horses and chickens. If there are a total of 28 animals and 80 legs, how many chickens and horses are there?

a)

10 horses, 18 chickens

b)

16 horses, 12 chickens

c)

12 horses, 16 chickens

d)

18 horses, 10 chickens

15.

Jacob is selling fish and lobsters by the pound. The fish costs $5.25 a pound, while the lobster costs $10.50 a pound. Jacob sells a combined 28.5 pounds of fish and lobster making $215.25. How many pounds of each did he sell?

a)

16 pounds of fish and 12.5 pounds of lobster

b)

18 pounds of fish and 10.5 pounds of lobster

c)

12.5 pounds of fish and 16 pounds of lobster

d)

10.5 pounds of fish and 18 pounds of lobster

16.

Layah's family goes to a restaurant for dinner. There are 6 people in her family. Some order the chicken dinner for $14.80 and some order steak for $17. If the total bill was $91, how many of each kind of dinner was purchased?

a)

3 chicken, 3 steak

b)

5 chicken, 1 steak

c)

1 chicken, 5 steak

d)

4 chicken, 2 steak

17.

Preston has coins consisting of nickels and dimes with a value of $4.90. If the number of dimes is 1 less than twice the number of nickels, how many of each type of coin does he have?

a)

20 nickels

3 dimes

b)

20 nickels

39 dimes

c)

13 nickels

10 dimes

d)

12 nickels

10 dimes

18.

If f(x)=2(3x)+1, what is the value of f(2)?

(Substitute and be careful with order of operations)

a)

19

b)

37

c)

13

d)

20

19.

Evaluate f(2):


f(x)=3x+1

a)

7

b)

9

c)

11

d)

13

20.

If g(x)=2x+5, what is the value of g(4)?

(a)  

21.

Which have the same value when


a(x)=x2

a)

a(-2)

b)

a(0)

c)

a(2)

d)

a(4)

22.

Fill in the blank that will give the correct output!


If f(x) = 2x+1, then f( (a)   )=13

23.

Given that h(x)=x3-2, evaluate h(4)

a)

62

b)

10

c)

64

d)

12

24.

Which of the following has the smallest value?

Let m(x)= −3x+5-3x+5  

a)

m(-1)

b)

m(0)

c)

m(1)

d)

m(2)

25.

What is the definition of the range of a function?

a)

The collection or set of all possible outputs

b)

The collection or set of all possible inputs

c)

It is definitely one of the other two choices...please don't select this choice

26.
a)

Domain

b)

Range

c)

Relation

27.

Which input will result in an output of 12 for the following function?

d(x)=x2+3d\left(x\right)=x^2+3  

a)

12

b)

4.5

c)

3

d)

0

28.
Find the domain.
a)
all values less than 1
b)
all real numbers
c)
all positive numbers
d)
all values less than 0
29.
What is the y-intercept?
a)
(0,0)
b)
(0,1)
c)
(-3,0)
d)
(0,-3)
30.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
31.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
32.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
33.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
34.

In the equation y=2(5)x , the a value (y-intercept) is...

a)

356

b)

5

c)

10

d)

2

35.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
36.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
37.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
38.
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
39.
The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(7) represent?
a)
A cost of $7 to ride the taxi
b)
The cost to ride 7 miles
c)
The minimum distance to ride a taxi
d)
The minimum cost of a taxi
40.
Derek works at Subway making $9.25 an hour.  The function d(x)=9.25x tells us how much money Derek makes after x hours of working.  What is the meaning of d(4)=37?
a)
After 4 hours of work, Derek makes $37.
b)
Derek needs $4 more to have $37 total.
c)
After working for 4 days, Derek makes $37 total.
d)
After 4 hours of work, Derek now makes $37 an hour instead of $9.25.
41.
Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?
a)
Ms. Brackemyer starts with 8 pencils and ends with 52.
b)
After 8 days, Ms. Brackemyer has 52 pencils.
c)
Ms. Brackemyer starts with 52 pencils and gets 4 more every day.
d)
Every day, Ms. Brackemyer gets 4 new pencils until she has 52.
42.
A company is selling bubble gum.  The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum.  Find g(8) and tell what it means within the context of the problem.
a)
g(8)=8.  This means that after 8 packages of gum, the company makes $8.
b)
g(8)=42.  This means that 8 packages of gum costs $42.
c)
g(8)=28.  This means that 8 packages of gum costs $28.
d)
g(8)=24.  This means that 8 packages of gum costs $24.
43.
The function d(x) where x=gallons of gas and d(x)= # of miles traveled.
Interpret d(8)=300 in context.
a)
A car with 8 gallons of gas can travel 300 miles.
b)
A car traveling 8 miles has 300 gallons of gas.
c)
A car is traveling 300 miles.
d)
The car traveling 8 mph can go 300 miles.
44.
The function W(x) where x=inches of rain and W(x)= # of wildflowers growing.
Interpret W(5)=75
a)
With 75 inches of rain, there are 5 wildflowers growing.
b)
When it rains for 5 days there are 75 wildflowers growing.
c)
There are 75 wildflowers growing.
d)
With 5 inches of rain, there are 75 wildflowers growing.
45.

What does f(1990)=214 mean in the context of the problem?

a)

In 1990 there were 214 million people with health insurance

b)

In 214, there were 1990 people with health insurance

c)

When there are 1990 people, the year is 214

d)

None of these

46.

What does H(5) =18 mean in the context of the problem?

a)

The height of the plant after 5 weeks is 18 inches

b)

The height of the plant after 18 weeks is 5 inches

c)

The height of the plant is 5 inches after 18 weeks

d)

The height of the plant is dependent on the week it was planted

47.
Paco's daughter will be participating in an upcoming dance recital. She will require a different costume for each dance she plans to performs.
c = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform
Which of the variables is independent?
a)
c
b)
d
48.
Sarah is bringing treats to her middle school class on her birthday. The number of treats she brings in is based on the number of students in her class.
t = the number of treats
s = the number of students
Which of the variables is dependent?
a)
s
b)
t
49.
Carey and Justin are raising money to purchase books for their school's library. The more money they raise, the more books they will be able to purchase for the library.
m = the amount of money Carey and Justin raise
b = the number of books Carey and Justin will be able to purchase
Which of the variables is dependent?
a)
m
b)
b
50.
The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(m) represent?
a)
Total Cost of a taxi
b)
Total Miles in taxi
51.

The math club goes to an amusement park. Student tickets cost $10 each. The bus costs $28. This is expressed as f(x) = 10x + 28. Find f(4) and explain what it means.

a)

f(4) = 40; It costs $40 for 4 students to go on the trip.

b)

f(4) = 68; 68 students can go on the trip.

c)

f(4) = 68; It costs $68 for 4 students to go on the trip.

d)

f(4) = 28; 28 students can go on the trip

52.
Factor completely.
3x2 - 9x -120
a)
3(x - 8)(x + 5)
b)
3(x + 8)(x - 5)
c)
(3x + 8)(x - 5)
d)
(3x - 8)(x + 5)
53.
Factor completely.
5x2-15x+10
a)
(5x - 2)(x - 5)
b)
5(x - 2)(x + 1)
c)
(5x + 2)(x + 5)
d)
5(x - 2)(x - 1)
54.

Factor

3v2 - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

55.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
56.
Factor
9x2-6x-8
a)
(3x+2)(3x-4)
b)
(3x+2)(3x+4)
c)
(3x-2)(3x-4)
d)
(x-1)(9x+8)
57.
Factor:
5x2 + 17x + 6   
a)
(5x + 3)(x + 2) 
b)
(5x + 2)(x + 3) 
c)
(5x + 1)(x + 6) 
d)
(5x + 6)(x + 1) 
58.
Factor:
6x2 – 19x – 7 
a)
(2x +7)(3x – 1)
b)
(1x – 1)(6x+7)
c)
(2x – 7)(3x+1)
d)
(6x – 7)(1x+1)
59.
Factor
4n2-17n-15
a)
(n-10)(6n+1)
b)
(4n-5)(n-3)
c)
(n-5)(4n-3)
d)
(n-5)(4n+3)
60.
Factor:
 2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
61.
Factor Completely:  6x² + 5x - 6
a)
6(x + 1)(x - 6)
b)
(6x + 6)(x - 1)
c)
(2x - 3)(3x + 2)
d)
(3x - 2)(2x + 3)
62.

w2+9w+20w^2+9w+20  

(a)  

63.

w2+9w+18w^2+9w+18  



(a)  

64.

y2+2y+1y^2+2y+1  

(a)  

65.

x2+2x−8x^2+2x-8  

(a)  

66.

c2+4c−45c^2+4c-45  

(a)  

67.

x2−7x−30x^2-7x-30  

(a)  

68.

k2−12k−64k^2-12k-64  

(a)  

69.

x2−14x+49x^2-14x+49  

(a)  

70.

m2−15m+50m^2-15m+50  

(a)  

71.

x2−14x−72x^2-14x-72  

(a)  

72.

w2−16w+48w^2-16w+48  

(a)  

73.

k2+13k+42k^2+13k+42  

(a)  

74.

Look for GCF FIRST!!!

2x2−8x−242x^2-8x-24  

(a)  

75.

LOOK FOR GCF FIRST!!

3a3+30a2+63a3a^3+30a^2+63a  

(a)  

76.

LOOK FOR GCF FIRST!!!

5x2y−15xy−140y5x^2y-15xy-140y  

(a)  

77.

2x2+5x+22x^2+5x+2  

(a)  

78.

3n2+5n+23n^2+5n+2  

(a)  

79.

2y2+9y−52y^2+9y-5  

(a)  

80.

3g2−7g+23g^2-7g+2  

(a)  

81.

2k2−11k+152k^2-11k+15  

(a)  

82.

8x2−2x−108x^2-2x-10  

(a)  

83.

6a2+9a−276a^2+9a-27  

(a)  

84.

60x2+4x−860x^2+4x-8  

(a)  

85.

4b2+12b+94b^2+12b+9  

(a)  

86.

6m2−13m+66m^2-13m+6  

(a)  

87.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
88.
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.  How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450
a)
45 minutes
b)
90 minutes
2x + 4y = 315
c)
60 minutes
3x + 4y = 450
d)
30 minutes
89.
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
90.
a)
4
b)
10
c)
21
d)
14
91.
Solve the following equation for x:
10x + 2x + 5 = 8x + 4x + 7
a)
no solution
b)
infinite solutions
c)
x = 12
d)
x = 0
92.
Solve the following equation for x:
4x - 9 = (-9) + 4x
a)
no solution
b)
infinite solutions
c)
x = 0
d)
x = -9
93.
Solve the following equation for x:
10x - 3 = 3x + 32
a)
x = 3
b)
x = 4
c)
x = 5
d)
no solution
94.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
95.

What is the solution to the system below?

8x + 4y = 12

y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution

d)

Infinitely many solutions

96.

The equation

y = 461.19x + 3,492 represents the value of a work of art from 1964 to 2005. What does the number 461.19 represent?

a)

The value of the work of art in 1964

b)

The value of the work of art in 2005

c)

The yearly decrease in value

d)

The yearly increase in value

97.
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
98.
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What percent did the population increase each year?
a)
4%
b)
It doesn't say
c)
I don't know
d)
400%
99.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
100.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx

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