Free Printable Math 1 Check-In #2 REVIEW

1.

Allyson rented a scooter for $12 per hour plus a $25 gas fee. She spent a total of $73 to rent the scooter. Which equation represents the number of hours, h, Allyson rented the scooter?

a)

$25h+12=73$

b)

$12h+25=73$

c)

$12h-25=73$

d)

$25h-12=73$

2.

The initial value of a car is $21,000. Its value decreases 10% each year. Which equation can be used to determine the number of years, t, for its value to reach 81% of the initial value?

a)

$21,000=17,010\left(0.90\right)^t$

b)

$21,000=18,900\left(0.81\right)^t$

c)

$18,900=21,000\left(0.10\right)^t$

d)

$17,010=21,000\left(0.90\right)^t$

3.

Gavin purchases a car for $17,400. The value of the car depreciates by 12% per year. What is the approximate value of the car after 8 years?

a)

$5,380

b)

$6,258

c)

$11,142

d)

$17,304

4.

James weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does James’s older brother weigh?

(a)

5.

A used bookstore sells hardback books and paperback books.

A hardback book costs $11, including tax.

A paperback book costs $5, including tax.

Matilda bought 3 more paperback books than hardback books.

Matilda spent $47.

How many paperback books did Matilda buy?

a)

2

b)

3

c)

4

d)

5

6.

Coleman works at a car dealership where he earns $300 each week plus a commission equal to 1% of his total sales. This week his goal is to earn at least $500. What is the minimum amount of total sales Coleman must have to reach his goal?

a)

$80,000

b)

$50,000

c)

$30,000

d)

$20,000

7.

Amber needs a test average of 85 or higher to make the honor roll.

There are four tests in the term.

Her first three test grades were 78, 80, and 88.

Which inequality could be used to find what she needs to score on her fourth test, x, in order to make the honor roll?

a)

$\frac{78+80+88}{3}+x\le85$

b)

$\frac{78+80+88}{3}+x\ge85$

c)

$\frac{78+80+88+x}{4}\le85$

d)

$\frac{78+80+88+x}{4}\ge85$

8.

Kailey’s coin collection has a total of 75 coins. Rosealynne’s coin collection has three less than two times Kailey’s collection. Which equation models the number of coins in Rosealynne’s collection, x?

a)

$\frac{x}{2}-3=75$

b)

$\frac{x+3}{2}=75$

c)

$\frac{x}{2}+3=75$

d)

$\frac{x-3}{2}=75$

9.

Two students, Abby and Destiny, go for a walk. Abby begins walking 30 seconds earlier than Destiny.

Abby walks at a speed of 8 feet per second.

Destiny walks at a speed of 9 feet per second.

How long had Abby walking for when Melissa and she had walked the same distance?

a)

210 seconds

b)

240 seconds

c)

270 seconds

d)

480 seconds

e)

540 seconds

10.

Two boys, Vernon and Carlos, go for a walk. Vernon begins walking 20 seconds earlier than Carlos.

Vernon walks at a speed of 6 feet per second.

Carlos walks at a speed of 9 feet per second.

How long had Vernon been walking when the boys had walked exactly the same distance.

a)

20 seconds

b)

40 seconds

c)

60 seconds

d)

80 seconds

e)

120 seconds

11.

A rectangle has a perimeter of 74 centimeters. The length of the rectangle is 5 centimeters less than twice the width. What is the area of the rectangle, in square centimeters?

a)

294

b)

322

c)

336

d)

368

12.

Roselaynne and Joanna each begin filling pools at the same time.

Rosealynne fills her pool at a rate of 6 gallons per minute.

Joanna’s pool already contains 200 gallons, and she fills it at a rate of 2 gallons per minute.

How many minutes pass before both pools have the same amount of water?

a)

300

b)

100

c)

50

d)

33

13.

The equation of a line is $f\left(x\right)=\frac{1}{2}x-3$ . A second line passes through the points (^–1, 1) and (4, ^–4). At what point do the lines intersect?

a)

$\left(-2,-4\right)$

b)

$\left(-1,1\right)$

c)

$\left(0,0\right)$

d)

$\left(2,-2\right)$

14.

Mrs. Williams bought cans of pears and cans of mixed fruit.

She bought a total of 7 cans at a cost of $21.50.

Each can of pears cost $3.20, and each can of mixed fruit cost $2.90.

How many cans of mixed fruit did Mrs. Williams purchase?

(a)

15.

Nathan traveled 20 miles in 3 hours.

Nathan walked part of the distance at a speed of 4 miles per hour.

Nathan rode his bicycle for the remaining distance at a speed of 12 miles per hour.

How many hours did Nathan spend walking?

(a)

16.

Which system of equations would have no solution?

a)

$y=\frac{1}{3}x-2$

$x+3y=6$

b)

$y=3x+2$

$x+3y=-6$

c)

$y=3x+2$

$x+3y=6$

d)

$y=\frac{1}{3}x-2$

$x-3y=-6$

17.

Dalia is considering two car rental plans. Plan A can be modeled with the equation $C=30d$ and Plan B can be modeled with the equation $C=25d+15$ where C represents the cost in dollars and d represents the number of days a car is rented. Which statement would justify selecting Plan B instead of Plan A?

a)

Dalia rents a car for 1 day.

b)

Dalia rents a car for 2 days.

c)

Dalia rents a car for 3 days.

d)

Dalia rents a car for 5 days.

18.

A club will create T-shirts for a fundraiser. The club members need to compare the cost of creating the T-shirts between two companies. Company A charges $30 for setup, plus $5 per T-shirt. Company B charges $15 for setup, plus $7 per T-shirt.

Which option below best interprets the results from the graphic solution of these paired equations?

a)

For orders less than or equal to 7 shirts, the cost using Company A is less.

b)

For orders less than or equal to 8 shirts, the cost using Company A is less.

c)

For orders less than or equal to 7 shirts, the cost using Company B is less.

d)

For orders less than or equal to 8 shirts, the cost using Company B is less.

19.

Farmer Nephi has 300 acres of land and $117,335 available to produce corn and soybeans. Each of these acres is used to produce one of these two crops. It costs the farmer $349 per acre to produce soybeans and $444 per acre to produce corn. If all the money is used for these two crops, how many acres of soybeans are produced by Farmer Nephi?

a)

133

b)

148

c)

150

d)

167

20.

An apartment building contains 100 units. The one-bedroom units rent for $495 per month and the two-bedroom units rent for $600 per month. When all the units are rented out, the total monthly rent paid by the tenants is $55,275. How many two-bedroom apartments are there?

a)

45

b)

50

c)

55

d)

66

21.

Sports Warehouse had a sale on two models of baseball gloves. Model A sold for $30.00, and model B sold for $45.25. A total of 52 gloves was sold. The total amount of sales earned on the gloves, excluding tax, was $2,078.50. How many model B baseball gloves were sold?

a)

18

b)

22

c)

29

d)

34

22.

Gavin plays basketball for the Varsity team. Last season, he scored a total of 1489 points consisting of 2-point and 3-point baskets. If Gavin made a total of 640 baskets, how many of the baskets counted 3 points?

a)

209

b)

431

c)

1227

d)

1489

23.

Jade deposits $480 into an account that earns 2.6% annual interest. She makes no further deposits or withdrawals. Which function models the total amount, j(t), in the account after t years?

a)

j(t) = t(480)^2.6

b)

j(t) = (480)^2.6^t

c)

j(t) = 1.026(480)^t

d)

j(t) = 480(1.026)^t

24.

An arithmetic sequence has these terms.

a₅= 32

a₁₀= 52

Which explicit formula can be used to determine the nth term?

a)

a_n= 20n + 16

b)

a_n = 20n + 12

c)

a_n= 4n + 16

d)

a_n= 4n + 12

25.

Which function best represents the graph?

a)

f(x) = x² – 7x – 8

b)

f(x) = x² – 4x + 2

c)

f(x) = x² – 2x – 8

d)

f(x) = x² + 2x – 8

26.

Lizbet and Charlee install carpet.

Lizbet charges a flat fee of $112, plus $16 for each hour she works.

Charlee charges a flat fee of $200, plus $12 for each hour she works.

Which function, p(x), represents the total amount of money, in dollars, they earn when they each work x hours?

a)

p(x) = 124x + 216

b)

p(x) = 124x + 88

c)

p(x) = 28x + 312

d)

p(x) = 28x + 88

27.

Loraine purchased a car for $22,000. It decreased in value by 13% each year.

Which equation represents the value of the car, V(t), after t years?

a)

$V(t)=0.87(22,000)^t$

b)

$V(t)=1.13(22,000)^t$

c)

$V(t)=22,000(0.87)^t$

d)

$V(t)=22,000(1.13)^t$

28.

The table shows the amount of mold, y, on a surface at various times, x.

Which function could be used to model the amount of mold on the surface after x minutes?

a)

$y=\frac{1}{4}\left(4\right)^x$

b)

$y=\frac{1}{4}x^4$

c)

$y=\frac{1}{16}\left(8\right)^x$

d)

$y=\frac{1}{16}x^8$

29.

Which function models the data in the table?

a)

$y=-2x+5$

b)

$y=-2x+10$

c)

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

d)

$y=-\frac{1}{2}x+10$

30.

The graph shows the number of bacteria in a petri dish over a period of time.

Which exponential function could be used to model the number of bacteria after x days?

a)

$y=1.5\left(1,266\right)^x$

b)

$y=1,266\left(1.5\right)^x$

c)

$y=1.05\left(1,266\right)^x$

d)

$y=1,266\left(1.05\right)^x$

31.

A rectangular picture is 8 inches by 10 inches. A copy of the picture is printed where each side of the original picture is decreased by the same amount, x. Which function represents the area of the new picture?

a)

f(x) = ^–x² – 18x + 80

b)

f(x) = x² – 18x + 80

c)

f(x) = ^–x² + 80

d)

f(x) = x² – 80

32.

Two cellphone companies have different charges for a cell phone plan.

Riley's provider charges $35 per month plus $0.03 per minute, x, for her phone plan.

Lexy's provider charges $0.12 per minute, x, with no monthly fee for her phone plan.

Which function represents the difference in cost between Riley's and Lexy's plans?

a)

f(x) = ^–35x – 0.09

b)

f(x) = ^–35x + 0.09

c)

f(x) = ^–0.09x – 35

d)

f(x) = ^–0.09x + 35

33.

At the end of December, Joanna and James both earned a one-time bonus at work, plus their hourly wages.

Joanna's earnings are modeled by the function J(x) = 38.25x + 50.00.

James’s earnings are modeled by the function E(x) = 30.20x + 52.00.

Joanna and James worked the same number of hours.

If x represents hours worked, which function represents the total monthly earnings of Joanna and James, M(x)?

a)

M(x) = 170.45x

b)

M(x) = 68.45x + 102.00

c)

M(x) = 88.25x + 82.20

d)

M(x) = 102.00x + 68.45

34.

The function $g\left(x\right)$ is given:

$g\left(x\right)=-3x^2-6x+24$

Which statement accurately describes the function?

a)

Has a zero of -2

b)

Vertex at (1, 27)

c)

Minimum at (-1, 27)

d)

Axis of symmetry at x = -1

35.

Which choice shows a factor of $g\left(x\right)=2x^2+3x-9$

a)

$3x-2$

b)

$3x+2$

c)

$2x-3$

d)

$2x+3$

36.

$f\left(x\right)=-16x^2+16x+32$

What is the axis of symmetry for this function?

a)

$x=-1$

b)

$x=0$

c)

$x=0.5$

d)

$x=2$

37.

Allison compared the function $f\left(x\right)=\left(\frac{2}{3}\right)^x-2$ to the function $g\left(x\right)$ , shown in the graph.

Which function has the larger y-intercept, and where is the y-intercept located?

a)

f(x), at (0, -1)

b)

f(x), at (0, -2)

c)

g(x), at (0, -4)

d)

g(x), at (0, -5)

38.

Allyson compared the function $f\left(x\right)=x+12$ to the function $g\left(x\right)$ , shown in the graph.

Which function has the smaller x-intercept, and where is the x-intercept?

a)

f(x), at (-12, 0)

b)

g(x), at (-4, 0)

c)

g(x), at (8,0)

d)

f(x), at (1, 0)

39.

A function, $f\left(x\right)$ , can be defined by the equation $f\left(x\right)=\left(2x-2\right)^2+5$ . Another function, $h\left(x\right)$ , is graphed in the image. Which statement is true of both functions.

a)

The parabolas have the same vertices

b)

The parabolas open downward

c)

The parabolas have the same y-intercept

d)

The parabolas have the same maximum

40.

The function $g\left(x\right)$ is graphed in the image. Which of the following has the same vertex?

a)

$q\left(x\right)=x^2-5$

b)

$h\left(x\right)=\left(x-3\right)^2+4$

c)

$p\left(x\right)=\left(x+3\right)^2+4$

d)

$f\left(x\right)=\left(x-5\right)^2+1$

41.

$f\left(x\right)=\left(x+4\right)^2-3$

$g\left(x\right)$ passes through the points shown in the table.

What is the absolute value of the difference of the y-intercepts of the $f\left(x\right)$ and $g\left(x\right)$ ?

a)

6

b)

9

c)

15

d)

17

42.

The function $f\left(x\right)=64\left(\frac{1}{2}\right)^x$ represents the number of teams competing in a basketball tournament after x rounds. What is the range of the function in this context?

a)

$y>0$

b)

all real numbers

c)

$\left\{1,2,4,8,16,32,64\right\}$

d)

$\left\{0,1,2,4,8,16,32,64\right\}$

43.

An ice rink can hold up to 400 skaters. The owners charge $200 to rent the rink for 6 hours, plus $4 for each person skating. The total cost to rent the rink is a function of the number of people skating, p. Which inequality best represents the domain of the function?

a)

$0\le p\le200$ , where p is an integer

b)

$0\le p\le400$ , where p is an integer

c)

$200\le p\le1,600$ where p is an integer

d)

$200\le p\le1,800$ where p is an integer

44.

The function $f\left(x\right)=16\left(\frac{1}{2}\right)^x$ represents the number of teams remaining after x rounds of a softball tournament. What is the range of the function in this context?

a)

$f\left(x\right)\ge0$

b)

all real numbers

c)

$\left\{1,2,4,8,16\right\}$

d)

$\left\{0,1,2,4,8,16\right\}$

45.

This graph shows the percent of households worldwide that had a computer, y, x years after 2005.

What is the range of this data?

a)

$o\le y\le14$

b)

$0\le y\le50$

c)

$25\le y\le50$

d)

$27\le y\le49$

46.

Keylee owns a cabin that she rents to people for a maximum of 21 nights. She uses the function f(x) = 175x + 50 to calculate the rental cost for x nights. What is the domain for the function in this context?

a)

0 ≤ x ≤ 3,725, where x is an integer

b)

0 < x < 3,725, where x is an integer

c)

0 ≤ x ≤ 21, where x is an integer

d)

0 < x < 21, where x is an integer

47.

Alexa is starting a new exercise program.

Each day of the first week she will exercise 30 minutes.

Each week thereafter, she will increase her daily exercise time by 5 minutes until she is able to exercise for 60 minutes each day.

A function represents the number of minutes she will exercise in the nth week.

What is the domain of the function?

a)

{0, 1, 2, 3, 4, 5, 6, 7}

b)

{1, 2, 3, 4, 5, 6, 7}

c)

{25, 30, 35, 40, 45, 50, 55, 60}

d)

{30, 35, 40, 45, 50, 55, 60}

48.

A 150-gallon water tank is 50% filled with water. It begins leaking at a rate of 4 gallons per hour, x. The amount of water in the tank, y, is a function of time. What is the domain of the function?

a)

0 ≤ x ≤ 18.75

b)

0 ≤ y ≤ 18.75

c)

0 ≤ x ≤ 75

d)

0 ≤ y ≤ 75

49.

Nephi’s Plumbing charges a $75 diagnostic fee and $60 per hour for repairs. Sterling has a repair that could take up to 10 hours to complete. The amount of money, f(x), the company charges Sterling is a function of the number of hours, x, the job takes. What is the best range of the function?

a)

75 ≤ x ≤ 675

b)

75 ≤ f(x) ≤ 675

c)

0 ≤ x ≤ 10

d)

0 ≤ f(x) ≤ 10

50.

Asher mows yards to earn money on weekends.

He charges $25 for each yard he mows.

He has time to mow, at most, 6 yards per weekend.

The function P(x) represents the money Asher earns for mowing x yards on a weekend.

What is the domain of this function?

a)

0 ≤ x ≤ 6, where x is an integer

b)

0 ≤ x ≤ 25, where x is an integer

c)

0 ≤ x ≤ 150, where x is an integer

d)

6 ≤ x ≤ 25, where x is an integer

51.

The function f(x) = 2.5x models the amount of water, in quarts, in a bucket after x seconds. Ben needs to fill a 55-quart bucket. Which is the most appropriate domain for the function?

a)

x ≥ 0

b)

x ≤ 22

c)

0 ≤ x ≤ 22

d)

0 ≤ x ≤ 55

52.

7x+4y =12
x + 2y = -4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

53.

x + 2y = -4
x - 2y = 8

a)

(2,5)

b)

(2,-3)

c)

(2,-2)

d)

(-3,2)

54.

7x - 2y = 6
x - 2y = -6

a)

(2,4)

b)

(3,-2)

c)

(1,2)

d)

(-2,-4)

55.

x-4y = 16
5x + 4y = 8

a)

(4,-3)

b)

(-3,4)

c)

(4,3)

d)

(3,-4)

56.

5x - 2y = 6
x - 2y = -2

a)

(2,2)

b)

(2,1)

c)

(1,2)

d)

(-2,-2)

57.

x + y = 3
3x - y = 1

a)

(2,1)

b)

(-1,2)

c)

(1,2)

d)

(-2,-1)

58.

x -2y = -2
3x - 2y = 6

a)

(4,3)

b)

(-3,4)

c)

(-2,-3)

d)

(-3,-4)

59.

3x - 2y = -8
5x + 2y = -8

a)

(1,-4)

b)

(-1,-4)

c)

(-4,1)

d)

(-2,1)

60.

x - 4y = -4
x + 2y = 8

a)

(2,2)

b)

(4,2)

c)

(2,-2)

d)

(4,-2)

61.

x - 2y = 4
3x +2y = 4

a)

(-2,-1)

b)

(4,-1)

c)

(2,-1)

d)

(4,1)

62.

x - 2y = 4
2x -y = -1

a)

(-2,-3)

b)

(-3,-2)

c)

(2,3)

d)

(3,2)

63.

5x + 3y = 6
x - 3y = 12

a)

(3,3)

b)

(-3,-3)

c)

(3,-3)

d)

(3,-2)

64.

x - y = -2
y = -2

a)

(1,-2)

b)

(-1,-2)

c)

(-4,-2)

d)

(4,-2)

65.

2x - 3y = 6
7x - 3y = -9

a)

(3,4)

b)

(4,-3)

c)

(-4,-3)

d)

(-3,-4)

66.

3x + y = 4
x + 2y = -2

a)

(2,2)

b)

(-2,-2)

c)

(2,-2)

d)

(-2,2)

67.

2x + y = -3
x - 2y = -4

a)

(-2,1)

b)

(1,-2)

c)

(2,1)

d)

(1,2)

68.

x = - 3
2x + 3y = 6

a)

(4,3)

b)

(-4,3)

c)

(-3,4)

d)

(3,-4)

69.

x + 4y = -8
5x - 4y = -16

a)

(4,1)

b)

(1,4)

c)

(-4,-1)

d)

(-1,-4)

70.

2x - 3y = 6
7x - 3y = -9

a)

(-3,-4)

b)

(3,4)

c)

(-4,-3)

d)

(4,3)

71.

5x - 4y = =-16
x+ 2y = -6

a)

(-4,-1)

b)

(5,-1)

c)

(-5,-1)

d)

(4,1)

72.

Find the solution to the system.
y = x-6
y = -3x + 2

a)

(0, -6)

b)

(6, 0)

c)

(-4, 2)

d)

(2, -4)

73.

A ________________ is a set of two or more equations that have the same variables.

a)

solution of a system

b)

elimination method

c)

system of equations

d)

table

74.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(1, -3)

75.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

76.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

(0, -1.5)

77.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

78.

What is the solution to the system of equations?

a)

(3, 4)

b)

(-3, -4)

c)

(-4, -3)

d)

(4, 3)

79.

What is the solution to the system of equations?

a)

No Solution

b)

(2, 0)

c)

Infinitely Many Solutions

d)

(0, 2)

80.

How many solutions are there in the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

81.

What is the number of solutions to the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

82.

What is the solution to the system?

a)

(-1, 3)

b)

(-3, 1)

c)

(3, -1)

d)

(-3, -1)

83.

Solve by elimination
-2x + 6y = 16
-4x - 3y = 2

a)

(2,2)

b)

(-2, -2)

c)

(-2,2)

d)

(2,1)

84.

Solve using elimination.
4x + 8y = 20
-4x + 2y = -30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

85.

Solve the system by elimination.

−8x − 10y = 20
−8x − 6y = −4

a)

Infinite number of solutions

b)

(6, 5)

c)

(−6, −5)

d)

(5, −6)

86.

Solve the system of Equation (x,y)
−4x + 9y = 9
x − 3y = −6

a)

(-9,-5)

b)

(-5,9)

c)

(9,5)

d)

(-5,-9)

87.

Solve the system of Equation (x,y)
3x + 2y = –13
3x + 4y = 1

a)

(-9,7)

b)

(7,-9)

c)

(4,-7)

d)

(-7,-4)

88.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

89.

5x + 16y = -16
-9x - 8y = 8

a)

(3, 1)

b)

(3, -1)

c)

(-3, -1)

d)

(0, -1)

90.

A ________________ is a set of two or more equations that have the same variables.

a)

solution of a system

b)

elimination method

c)

system of equations

d)

table

91.

Solve using elimination.
−4x − 4y = 0
8x + 8y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

No solutions

d)

(6, 4)

92.

Solve by elimination:
3x + 7y = 23
-3x - 7y = -17

a)

No solution

b)

Infinite number of solutions

c)

(-3,3)

d)

(3,3)

93.

What is the solution to
-3x+2< 8

a)

x > -3

b)

x > -2

c)

x < -2

d)

x < -3

94.

Which of the following represents the inequality below?
4x + 6 ≤ 35

a)

Melissa wants to run 35 miles this week. She has already run 4 miles. The trail by her house is 6 miles long. How many times must Melissa run around the trail in order to meet her goal?

b)

Joshua is shipping a box. The maximum weight of the box must be 35 pounds to qualify for a discount. Joshua’s box contains a 4-pound pack of paper. How many 6 pound- packs of envelopes can he put in the shipping box without exceeding the maximum weight?

c)

Gabby is creating flower bouquets. She spent $6 on supplies and picked the flowers from her garden. She plans to sell each bouquet for $4. How many bouquets must she sell in order to make a profit of at least $35?

d)

Sophie has a $35 online gift card. She wants to buy some books that cost $4 each. There is a shipping charge of $6. How many books can Sophie buy?

95.

The room holds no more than 400 people. Which inequality represents the amount of people the room holds?

a)

P ≥ 400

b)

P ≤ 400

c)

P < 400

d)

P > 400

96.

Which inequality represents the situation ten less than a number is no more than 30?

a)

10 - x ⪯ 30

b)

x - 10 ⪯ 30

c)

30 - x ⪯ 10

d)

x - 30 ⪯ 10

97.

Monica had $750 in a saving account at the beginning of the summer. She wants to have at least $225 in the account by the end of the summer. She withdraws (takes out) $35 each week for food, clothes, and movie tickets.

What inequality represents this statement?

a)

$750-35w\ge225$

b)

$750-35w\le225$

c)

$35w+750\ge225$

d)

$35w-750\le225$

98.

A(n) _________________ function will ADD the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

99.

A(n) _________________ function will MULTIPLY the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

100.

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Kay's scenario is best represented by a _______________ function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

101.

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

a)

linear

b)

quadratic

c)

exponential

d)

none of the above

102.

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. How many rounds of the tennis tournament will be played before there is a champion?

a)

1

b)

7

c)

128

d)

The answer cannot be determined

103.

Given the following table of values, construct the function that represents the sequence.

a)

y = 3(4)^x

b)

y = 3x + 4

c)

y = 4(3)^x

d)

y = 4x + 3

104.

Write the function to best represent the values in the table.

a)

y = 3(3)^x

b)

y = 3x + 3

c)

y = 3x²

d)

Not a function

105.

Is the equation linear, exponential, or quadratic?

a)

Linear

b)

Exponential

c)

Quadratic

106.

Does this graph have a maximum or a minimum value?

a)

Maximum

b)

Minimum

107.

Which function is represented by the following equation.

y = x²+4

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of these

108.

What kind of graph is this?

a)

Linear

b)

Quadratic

c)

Exponential

d)

None

109.

What type of graph is this?

a)

Linear

b)

Quadratic

c)

Exponential

d)

None

110.

What type of graph is represented by the following equation.

y = x²+ 4x - 12

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of these

111.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

112.

Is the equation linear, exponential, or quadratic?

a)

Linear

b)

Exponential

c)

Quadratic

113.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

114.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

115.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

116.

Is this exponential growth or decay?

a)

Growth

b)

Decay

117.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

118.

Is the pictured graph growth, decay, or linear or none?

a)

Growth

b)

Decay

c)

Linear

d)

None

119.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

120.

What is the range of f(x) = 5^x?

a)

-∞ ≤ x ≤ ∞

b)

-∞ ≤ y ≤ ∞

c)

x > 0

d)

y > 0

121.

What is the domain of f(x) = 5^x?

a)

-∞ ≤ x ≤ ∞

b)

-∞ ≤ y ≤ ∞

c)

x > 0

d)

y > 0

122.

Given y=3^xdetermine the y-intercept

a)

(0,1)

b)

(0,3)

c)

No Y-intercept

d)

y=1

123.

Given y=3^xdetermine the asymptote

a)

(0,1)

b)

(0,3)

c)

x=0

d)

y=0

124.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

125.

Evaluate the function for the given value:

f (x) = 5^x for f(4)

a)

20

b)

625

c)

125

d)

25

126.

Evaluate the function for the given value:

h(t) = 3 • 4^t for h(-3)

a)

$\frac{3}{64}$

b)

192

c)

-36

d)

$-\frac{3}{64}$

127.

Evaluate the function for the given value:

$y=8\cdot0.7^x$ for x = 3

a)

2.744

b)

175,616

c)

16.8

d)

432,8

128.

Evaluate the function for the given value:

$f\left(x\right)=3^x$ for f(3)

a)

27

b)

9

c)

6

d)

12

129.

Evaluate the function for the given value:

y=\left(\frac{1}{4}\right)^x

for x = 4

a)

$\frac{1}{256}$

b)

256

c)

$\frac{1}{16}$

d)

16

130.

An investment of $8000 in a certain Certificate of Deposit (CD) doubles in value every seven years. The function that models the growth of this investment is f (x) = 8000(2)^x, where x is the number of 7 year periods. If the investor does not withdraw any money from this CD, how much money will be available for withdrawal after 28 years?

a)

$128,000

b)

$1,024,000

c)

$2,147,483,648,000

d)

$112,000

131.

A population of amoebas in a petri dish will triple in size every 20 minutes. At the start of an experiment the population is 800. Write a function to model this relationship with y representing the total population, and x as the number of 20 minute periods.

a)

$y=800\left(3\right)^x$

b)

$y=3\left(800\right)^x$

c)

$y=800\left(20\right)^x$

d)

$y=20\left(3\right)^x$

132.

A population of amoebas in a petri dish will triple in size every 20 minutes. At the start of an experiment the population is 800. Write a function to model this relationship with y representing the total population, and x as the number of 20 minute periods. How many amoebas are in the petri dish after 3 hours?

a)

15,746,400

b)

216,000

c)

27,894,275,208,000

d)

67.893

133.

A new car costs $15,000 to build in 2010. The company’s financial analysts expect costs to rise by 6% per year for the 10 years they are planning to build the car. The cost to build the car can be modeled by the function f (t) = 15,000 (1.06)^t , where t is the number of years after 2010. How much will it cost the company to build the car in 2017?

a)

$22,554.45

b)

$23,907.72

c)

$19,678.32

d)

$45,678.91

134.

Linear, exponential, or neither?

y = 4 + 2x

a)

Linear

b)

Exponential

c)

Neither

135.

Linear, exponential, or neither?

y = 4(3)^x

a)

Linear

b)

Exponential

c)

Neither

136.

Linear, exponential, or neither?

Amount increases $10 per year

a)

Linear

b)

Exponential

c)

Neither

137.

Linear, exponential, or neither?

Amount triples each year

a)

Linear

b)

Exponential

c)

Neither

138.

Linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

139.

Linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

140.

Linear, Exponential, or Neither?

There are 800 students at Western Middle. The population increases by 3% each year.

a)

Linear

b)

Exponential

c)

Neither

141.

Write a function to represent:

A petri dish contains 35 bacteria. The bacteria triple every hour.

a)

$y=35\left(3\right)^x$

b)

$y=3\left(35\right)^x$

c)

$y=35\left(\frac{1}{3}\right)^x$

d)

$y=35\left(x\right)^3$

142.

Write a function to represent the following function:

A hospital prepares a 100 mg supply of technetium‐99m which has a half‐life of 6 hours.

a)

$f\left(x\right)=100\left(\frac{1}{2}\right)^x$

b)

$f\left(x\right)=99\left(\frac{1}{2}\right)^x$

c)

$f\left(x\right)=100\left(6\right)^x$

d)

$f\left(x\right)=100\left(99\right)^x$

143.

A hospital prepares a 100 mg supply of technetium‐99m which has a half‐life of 6 hours. How many mg are left after one day?

a)

6.25 mg

b)

12 mg

c)

0.00125 mg

d)

3.125 mg

144.

A petri dish contains 35 bacteria. The bacteria triple every hour. How many bacteria are present after 4 hours?

a)

2835 bacteria

b)

945 bacteria

c)

1563 bacteria

d)

3685 bacteria

Math 1 Check-In #2 REVIEW

Total questions: 144

Worksheet time: 7hrs 18mins

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