wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

2025 Mississippi Algebra Final Assessment

Total questions: 86

Worksheet time: 1hrs 25mins

Name
Class
Date
1.

Which expression is equivalent to 3x2+7x(x+4)293x^2 + 7x - (x + 4)^2 - 9 ?

a)

2x2+7x252x^2 + 7x - 25

b)

2x2+7x+72x^2 + 7x + 7

c)

2x2+6x+72x^2 + 6x + 7

d)

2x2x252x^2 - x - 25

2.

Which unit would be appropriate for the rate of change in the graph?

a)

degrees/day

b)

days/degree

c)

degrees/hour

d)

hours/degree

3.

The function g(x) can be represented as g(x) = x26x2-x^2 - 6x - 2 .

Some of the values of the quadratic function h(x) are shown in the table.

Which statement is a true comparison of the properties of g(x) and h(x)?

a)

The graph of function g(x) has a higher maximum value but a lower y-intercept value than the graph of function h(x).

b)

The graph of function g(x) has a lower maximum value and a lower y-intercept value than the graph of function h(x).

c)

The graph of function g(x) has a lower maximum value but a higher y-intercept value than the graph of function h(x).

d)

The graph of function g(x) has a higher maximum value and a higher y-intercept value than the graph of function h(x).

4.

Choose the boxes that correctly identify the only solution or the best description of how many solutions there are for each equation.

(a)  

5.

An object is launched at an upward velocity of 96 feet per second from the top of a building 160 feet above the ground. Use the vertical motion model h=16t2+vt+ch = -16t^2 + vt + c , where h is the ending height of the object, c is the initial height, in feet, of the object, t is the time, in seconds, and v is the velocity of the object. How long will it take the object to reach the maximum height, and what is the maximum height? Fill in the blanks with the appropriate values. At ______ seconds, the object's maximum height will be ______ feet.

a)

At 3 seconds, the object's maximum height will be 304 feet.

b)

At 2 seconds, the object's maximum height will be 280 feet.

c)

At 4 seconds, the object's maximum height will be 320 feet.

d)

At 5 seconds, the object's maximum height will be 350 feet.

6.

There are three different basketball teams that have played five games each. Liz wants to join the team that is scoring the most points per game so far.

If she ranks each team by its mean score, which team would she join?

a)

She would join Team 1, because its mean score is 72.

b)

She would join Team 1, because its mean score is 90.

c)

She would join Team 2, because its mean score is 67.6.

d)

She would join Team 3, because its mean score is 100. Cornish Rex

7.

Sam ran a distance represented by the expression 2x + 12. Lee ran a distance represented by the expression 6x + 36. Which describes how the distance that Lee ran compares to the distance that Sam ran?

a)

The distance that Lee ran is 2 times the distance that Sam ran.

b)

The distance that Lee ran is 3 times the distance that Sam ran.

c)

The distance that Lee ran is 4 times the distance that Sam ran.

d)

The distance that Lee ran is 6 times the distance that Sam ran.

8.

Which graph shows the zeros of the function f(x) = 3x2+14x53x^2 + 14x - 5 ?

a)

[Graph A]

b)

[Graph B]

c)

[Graph C]

d)

[Graph D]

9.

Which numerical expression provides the solution to the equation 7x2+4x8=147x^2 + 4x - 8 = 14 ?

a)

7±2402\frac{-7\pm\sqrt{240}}{2}

b)

7±6327\frac{-7\pm\sqrt{632}}{7}

c)

4±63214\frac{-4\pm\sqrt{632}}{14}

d)

4±24014\frac{-4\pm\sqrt{240}}{14}

10.

Lisa sends an email to five friends. The next day, each of Lisa’s friends forwards the email to five more people. The process continues for a few days. Which function represents the number of people who will receive the email on the nth day?

a)

an=5na_n=5n

b)

an=5na_n=5^n

c)

an=n+5a_n=n+5

d)

an=n5+5a_n = n^5 + 5

11.

A recording studio charges musicians an initial fee of $60 to record an album. The studio time cost an additional $75 per hour.

Which function represents the total cost, in dollars, C(t), of recording an album as a function of studio time in t hours?

a)

C(t) = 60t - 75

b)

C(t) = 75t - 60

c)

C(t) = 60t + 75

d)

C(t) = 75t + 60

12.

Which ordered pairs are solutions to the inequality graphed in the coordinate plane?

a)

(−3, −8)

b)

(0, 11/4)

c)

(2, 10)

d)

(3, 2)

e)

(4, 3/2)

13.

Which represents the function used to find any term, x, of the sequence 2, 8, 32, 128, 512, ...?

a)

f(x) = 2(4)(x1)2(4)^{(x-1)}

b)

f(x) = 2(4)x2(4)^x

c)

f(x) = 4(2)(x1)4(2)^{(x-1)}

d)

f(x) = 4(2)x4(2)^x

14.

The formula for the volume of a cone is given. V=13πr2hV=\frac{1}{3}\pi r^2h .

Which equation is solved for r, the radius of the base of a cone?

a)

r=3V2πhr=\frac{3V}{2\pi h}

b)

r=9Vπhr=\frac{9V}{\pi h}

c)

r=V3πhr=\sqrt[]{\frac{V}{3\pi h}}

d)

r=3Vπhr=\sqrt[]{\frac{3V}{\pi h}}

15.

Which expression is equivalent to (x6)(2x23x+4)(x - 6)(2x^2 - 3x + 4) ?

a)

2x22x22x^2 - 2x - 2

b)

2x22x+42x^2 - 2x + 4

c)

2x33x2+4x62x^3 - 3x^2 + 4x - 6

d)

2x315x2+22x242x^3 - 15x^2 + 22x - 24

16.

Which function is shown on the graph?

a)

f(x) = |x - 4| + 2

b)

f(x) = |x - 3| + 1

c)

f(x) = |x + 3| - 1

d)

f(x) = |x + 4| - 2

17.

Evan's science class planted sunflower seeds as part of a research project. A student was sent out each week to measure the height of a flower of their choice. The data in the scatter plot shows their findings from week 2 to week 12.

Which function, h(w), approximates the height of the sunflowers after w weeks?

a)

h(w) = 0.30w - 1.09

b)

h(w) = 0.30w + 1.52

c)

h(w) = 3.18w + 3.78

d)

h(w) = 3.23w - 4.14

18.

Kim wants to earn at least $65 from her two jobs next week. At most, she can work 15 hours. Her first job pays $5 per hour, and her second job pays $7 per hour. Let x represent the number of hours worked at the first job and y represent the number of hours worked at the second job.

a)

x + y > 15

5x + 7y < 65

b)

x + y ≤ 15

5x + 7y ≥ 65

c)

x + y ≤ 15

5x+7y655x+7y\le65

d)

x + y > 65

5x + 7y < 15

19.

Which function, g(x), represents the function f(x) = (x+2)21(x + 2)^2 - 1 with a vertical shift 3 units down and a horizontal shift 5 units to the right?

a)

g(x)=(x3)2+2g(x) = (x - 3)^2 + 2

b)

g(x)=(x3)24g(x) = (x - 3)^2 - 4

c)

g(x)=(x+7)24g(x) = (x + 7)^2 - 4

d)

g(x)=(x+7)2+2g(x) = (x + 7)^2 + 2

20.

What is the average rate of change for the function f(x) = 3x253x^2 - 5 on the interval? 3x1-3\le x\le-1 ?

Choose the correct answer.

a)

7

b)

12

c)

-12

d)

-7

21.

A cell phone company is offering a plan for unlimited talk and text with an additional charge for data that can be represented by the function C(g) = 14.99g + 32, where C represents the cost, in dollars, and g represents the number of gigabytes of data.

According to this model, fill in the blanks with the values that complete the sentence.

The cost of the plan for unlimited talk and text is $__________, with an additional cost of $_______ for each gigabyte of data.

a)

32, 14.99

b)

14.99, 32

c)

32, 10.00

d)

10.00, 32

22.

The expression 3+2(x5)23 + 2(x - 5)^2 models the height of a ball after x seconds. The constant in the simplified form of the expression represents the initial height, in feet, of the ball.

What is the initial height of the ball?

a)

-30 feet

b)

-5 feet

c)

3 feet

d)

53 feet

23.

Jasmine needs to solve the equation 9x + 12 = 3(x - 8). Which equations represent a first step Jasmine could use to solve the original equation?

a)

Jasmine divides both sides of the equation by 3 to get 3x + 4 = x - 8.

b)

Jasmine divides both sides of the equation by 12 to get 9x + 1 = 4(x - 8).

c)

Jasmine subtracts 3 from both sides of the equation to get 9x + 9 = x - 8.

d)

Jasmine subtracts 12 from both sides of the equation to get 9x = 3(x - 20).

e)

Jasmine distributes 3 on the right side of the equation to get 9x + 12 = 3x - 24.

24.

Which is a zero of the polynomial expression 7x + 21?

a)

-21

b)

-3

c)

3

d)

7

25.

Choose the bubbles that identifies the correct answers.

(a)  

26.

Which expressions represent rational numbers?

Select two answer choices.

a)

(5)2(\sqrt{5})^2 (16)3(\sqrt{16})^3

b)

(32)2(\sqrt{32})^2 (2)3(\sqrt{2})^3

c)

(9)2+(8)3(\sqrt{9})^2 + (\sqrt{8})^3

d)

(0.65)+(94)0.5(\sqrt{0.65}) + (\frac{9}{4})^{0.5}

e)

(0.49)+(125)0.5(\sqrt{0.49}) + (\frac{1}{25})^{0.5}

27.

The amount of a medicine in a patient’s bloodstream is shown by the function A(h)=600(0.75)hA(h) = 600(0.75)^h , where h is the number of hours that have passed since the medicine was given.

What does 0.75 represent in this function?

a)

The amount of medicine in the bloodstream increases by 25% each hour.

b)

The amount of medicine in the bloodstream decreases by 25% each hour.

c)

The amount of medicine in the bloodstream increases by 75% each hour.

d)

The amount of medicine in the bloodstream decreases by 75% each hour.

28.

A local store ordered a shipment of video game systems. The store sells 30 systems weekly to customers. As a result, the number of systems in stock decreased to 190 in the first week. Which statements correctly interpret the rate of change, or the y-intercept, of the given situation?

Select two answer choices.

a)

There are 30 systems sold each week.

b)

There are 160 systems in the shipment.

c)

There are 190 systems in the shipment.

d)

The situation can be modeled as y = 30x - 190.

e)

The situation can be modeled as y = -30x + 220.

29.

The function h(t)=5t2+10t+1h(t) = -5t^2 + 10t + 1 represents the height, in meters, of a diver above the water t seconds after the diver leaves the diving board. Which statements are true?

Select two answer choices.

a)

The diver’s highest elevation is at 10 meters.

b)

The diver’s initial height is 5 meters above the water.

c)

The diver enters the water after approximately 2.1 seconds.

d)

The diver enters the water after approximately -0.1 seconds.

e)

The diver is again at the same height as the diving board at 2 seconds.

30.

Given f(x) = x2+1x^2 + 1 and g(x) = x+3|x + 3| , which value of x is a solution to the equation f(x)=g(x)f(x) = g(x) ?

a)

-3

b)

-2

c)

1

d)

2

31.

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(x), of renting a car for x miles?

a)

C(x) = 0.35x - 24

b)

C(x) = 0.35x + 24

c)

C(x) = 24x - 0.35

d)

C(x) = 24x + 0.35

32.

Select the expressions of the equivalent by choosing the rows of the correct bubble.

(a)  

33.

What is the simplified form of the polynomial expression shown? 3x2(xy2)(y35)3y2(x24y)+4x3-3x^2(x - y^2) - (y^3 - 5) - 3y^2(x^2 - 4y) + 4x^3

Fill in the blanks with the values.

x3+y3+x^3+--y^3+--

(a)  

34.

Which statements are true about the line shown on the graph?

Select two answer choices.

a)

The point (−4, 0) is on the line.

b)

The point (0, −4) is on the line.

c)

The point (36, 28) is on the line.

d)

The graph represents the equation 2x − 3y = −12.

e)

The graph represents the equation 2x + 3y = −12.

35.

The number of absences for each student in Mr. Lee’s class is 1, 1, 0, 5, 0, 20, 0, 3, 0, 2, 2, 2, 1, 1. Which box plot best represents the data?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

36.

Which equation could be used to find the zeros of the function f(x) = 6x2x156x^2 - x - 15 ?

a)

(x + 3)(x - 4) = 0

b)

(x + 3)(x - 5) = 0

c)

(2x + 3)(3x - 5) = 0

d)

(3x + 4)(2x - 3) = 0

37.

Which statement best represents the box plots?

a)

More seniors had vehicles to drive than juniors.

b)

Seniors drove to school more consistently than juniors.

c)

If a vehicle were chosen at random, it would most likely be one driven by a senior.

d)

On any given day of the month, there were more vehicles driven by seniors than driven by juniors.

38.

Choose the box or boxes that represent the transformation of each function from the parent function . f(x)=x2f(x)=x^2

(a)  

39.

Choose the box or boxes that correctly identify the zeros of each polynomial,

(a)  

40.

Which scenarios best represent exponential growth, exponential decay, or neither?

Choose the box that describes each scenario as exponential growth, exponential decay, or neither.

Count the bubbles

(a)  

41.
a)

A

b)

B

c)

C

d)

D

42.

Which statements are true for the function represented by the graph?

Select three answer choices.

a)

The function increases for all real numbers.

b)

The function decreases for all real numbers

c)

The function decreasing on the interval 0.39<t<0.760.39<t<0.76

d)

The function increasing on the interval 0<t<0.380<t<0.38

e)

The function decreasing on the interval 0.76<t<1.10.76<t<1.1

43.

Which polynomial represents the product of 2x32x-3 and x2+6x2x^2+6x-2 ?

a)

x3+6x6x^3+6x-6

b)

2x318x22x^3-18x-2

c)

2x3+9x222x+62x^3+9x^2-22x+6

d)

2x3+15x214x+62x^3+15x^2-14x+6

44.

A school has 124 students who want to take a new computer class. Each class can have a maximum of 18 students. Which inequality could be used to determine how many classes, c, need to be scheduled so that all students can take the class?

a)

124c18\frac{124}{c}\le18

b)

c12418\frac{c}{124}\le18

c)

124c18\frac{124}{c}\ge18

d)

c12418\frac{c}{124}\ge18

45.

The capacity of a water tank is 1,000 gallons. Don uses a bucket that can hold 2 gallons to fill the tank. It takes him 3 minutes to fill the bucket with water and pour it into the tank. Which expression represents how much time it takes to fill the tank?

a)

(1 bucket / 2 gallons) · (3 minutes / 1 bucket) ÷ 1,000 gallons

b)

(2 gallons / 1 bucket) · (1 bucket / 3 minutes) ÷ 1,000 gallons

c)

(1,000 gallons) · (2 gallons / 1 bucket) · (3 minutes / 1 bucket)

d)

(1,000 gallons) · (1 bucket / 2 gallons) · (3 minutes / 1 bucket)

46.

Kibi has a gift card to download songs. The expression 50 - 1.29s represents the balance of the gift card.

Which statements are true?

Select two answer choices.

a)

The value 1.29 represents the cost to download a song.

b)

The value 1.29 represents the initial value of the gift card.

c)

The value 50 represents the cost to download a song.

d)

The value 50 represents the initial value of the gift card.

e)

The value 50 represents the number of songs that can be downloaded.

47.

Which expressions are equivalent to x2+6x27x^2 + 6x - 27 ? Select two answer choices.

a)

(x + 3)(x + 9)

b)

(x - 3)(x + 9)

c)

(x + 6)(x - 27)

d)

(x+3)236(x + 3)^2 - 36

e)

(x+3)2+36(x + 3)^2 + 36

48.

What are the zeros of the function f(x) = 9x2369x^2 - 36 ?

Select two answer choices.

a)

-4

b)

-2

c)

0

d)

2

e)

4

49.

Taylor is moving into an apartment. He has to pay one month's rent, a security deposit, and a one-time utility fee of $375. The security deposit is 23\frac{2}{3} of the amount of one month's rent.

Taylor paid $2,000 to move into the apartment. What is his rent each month?

a)

$541.67

b)

$975.00

c)

$1,200.00

d)

$3,958.33

50.

Team A won the first game of the season against Team B by 5 points. The two teams together scored a total of 13 points in the game. Let x represent the points scored by Team A and let y represent the points scored by Team B.

a)

y=x+5y=x+5

x+y=13x+y=13

b)

x=y5x=y-5

y=13xy=13-x

c)

x=y+5x=y+5 x+y=13x+y=13

d)

y=x5y=x-5 xy=13x-y=13

51.

A ring is a shape called an annulus. A formula for the area of an annulus is A=π(x2y2)A=\pi(x^2−y^2) , where x is the radius of the large circle and y is the radius of the smaller circle. Which equation is solved for the larger radius of an annulus?

a)

x=Aπ+y2  x=\sqrt{A\pi+y^2\ \ }

b)

x=Aπ+y2  x=\sqrt{\frac{A}{\pi}+y^2\ \ }

c)

x=Aπy2  x=\sqrt{\frac{A}{\pi}-y^2\ \ }

d)

x=A+y2πx=\sqrt{\frac{A+y^2}{\pi}}

52.

Shannon wants to solve the equation by completing the square. x214x=10x^2-14x=10 What values complete the equation?

Choose the correct answer.

a)

(x7)2=49+10(x - 7)^2 = 49 + 10

b)

(x14)2=196+10(x - 14)^2 = 196 + 10

c)

(x10)2=100+10(x - 10)^2 = 100 + 10

d)

(x5)2=25+10(x - 5)^2 = 25 + 10

53.

The graph of the equation y = 9.8x22-\frac{9.8x^2}{2} represents the position of a falling object with respect to time. Let y represent the position of the object, measured in meters, and x represent time, measured in seconds.

Which ordered pairs represent points that are on the graph?

Select two answer choices.

a)

(0, 0)

b)

(1, -4.4)

c)

(2, -9.8)

d)

(3, -44.1)

e)

(4, -39.05)

54.

The arithmetic sequence 2, 8, 14, 20, ... can be represented by the equation an=6n4a_n=6n-4 . What is the domain of the arithmetic sequence?

a)

all real numbers

b)

all positive real numbers

c)

integers greater than or equal to 1

d)

integers greater than or equal to 20

55.

The function f(t)=110t+10f(t)=-\frac{1}{10}t+10 represents the height of a candle as it burns for t minutes. The function is modeled by the graph.

Which statement describes the domain of the function?

a)

The domain of the function includes all real numbers.

b)

The domain of the function includes all numbers where t ≥ 0.

c)

The domain of the function includes all real numbers where 0 ≤ t ≤ 100.

d)

The domain of the function includes all whole numbers where 0 ≤ t ≤ 100 Rajapaksa

56.

Mack agreed to help the prom committee inflate balloons. The table lists the number of balloons, B, he inflated after n hours.

For which time interval did Mack have the fastest average rate of change?

a)

between 1 hour and 2 hours

b)

between 1 hour and 3 hours

c)

between 2 hours and 4 hours

d)

between 2 hours and 5 hours

57.

Given the function f(x)=x2+2x+3f(x) = -x^2 + 2x + 3 , which form reveals the zeros of f(x)?

a)

f(x) = (x - 1)(x + 3)

b)

f(x)=(x1)2+4f(x) = (x - 1)^2 + 4

c)

f(x) = -(x + 1)(x - 3)

d)

f(x)=(x1)2+4f(x) = -(x - 1)^2 + 4

58.

Which term describes the function f(x) = (x+4)32(x + 4)^3 - 2 ? Select the correct box for the function.

a)

Odd

b)

Even

c)

Neither

59.

Which term describes the function f(x)=1xf(x)=\frac{1}{x} ?

a)

Odd

b)

Even

c)

Neither

60.

Which term describes the function f(x)=x27x+2f(x) = -x^2 - 7x + 2 ? Select the correct box for the function.

a)

Odd

b)

Even

c)

Neither

61.

Which term describes the function f(x) = -3|x| + 5? Select the correct box for the function.

a)

Odd

b)

Even

c)

Neither

62.

The table shows the height of a flower for five consecutive weeks after it was planted. Which function represents the situation modeled in the table?

a)

the exponential function y=(12)x+3y=\left(\frac{1}{2}\right)^x+3 because the function grows by equal factors

b)

the linear function y=12x+3y=\frac{1}{2}x+3 because the function grows by equal factors.

c)

the exponential function y=(12)x+3y=\left(\frac{1}{2}\right)^x+3 because the function grows by equal differences

d)

the linear function y=12x+3y=\frac{1}{2}x+3 because the function grows by equal differences

63.

A large lake was stocked with trout ten years ago. The change in the trout population each year is modeled by the function P(x)=8,500(0.88)xP(x) = 8,500(0.88)^x . Which statement describes 0.880.88 in the function?

a)

The amount of fish will increase exponentially over time by 12% each year.

b)

The amount of fish will decrease exponentially over time by 12% each year.

c)

The amount of fish will increase exponentially over time by 88% each year.

d)

The amount of fish will decrease exponentially over time by 88% each year.

64.

The results of a student survey on the favorite milkshake flavor are shown.

What is the approximate percentage of female students who chose chocolate as their favorite milkshake flavor?

a)

27%

b)

50%

c)

52%

d)

66%

65.

Choose the bubble that identifies the property used in each step involved in solving the equation 4x5x=12(4x+8)4x-5x=\frac{1}{2}\left(4x+8\right) .

(a)  

66.
a)

A

b)

B

c)

C

d)

D

67.

The table shows the height, x , in inches, of nine people and the corresponding length, y , in inches, from hip to knee for each individual.

Which statements are true for the set of data?

Select two answer choices.

a)

The data shows a weak correlation.

b)

The data shows a strong correlation.

c)

The data represents a negative correlation.

d)

The correlation coefficient is approximately 0.85 .

e)

The correlation coefficient is approximately -0.25.

68.

Which expressions are equivalent to 4x2254x^2 - 25 ? Select two answer choices.

a)

(2x5)2(2x - 5)^2

b)

(2x+5)2(2x + 5)^2

c)

(2x)2(5)2(2x)^2 - (5)^2

d)

(2x - 5)(2x + 5)

e)

(2x - 5)(2x - 5)

69.

Given the polynomial 4x2+12x+94x^2 + 12x + 9 , which option correctly identifies a zero and a sketch of the graph of the function defined by the polynomial?

a)

[Graph A]

b)

[Graph B]

c)

[Graph C]

d)

, [Graph D]

70.
a)

P=L(SA+B)2P=\frac{L\left(SA+B\right)}{2}

b)

P=2(SAB)LP=\frac{2\left(SA-B\right)}{L}

c)

P=2(SA+B)LP=\frac{2\left(SA+B\right)}{L}

d)

P=SAB2LP=\frac{SA-B}{2L}

71.

Sam has 3,250 followers on social media. His number of followers is decreasing at a rate of 3% per week. Which function represents his number of followers after w weeks?

a)

f(w) = 3,250(0.97)w3,250(0.97)^w

b)

f(w) = 3,250(1.03)w3,250(1.03)^w

c)

f(w) = 3,250(1.03)(w1)3,250(1.03)^{(w-1)}

d)

f(w) = 3,250(0.97)(w1)3,250(0.97)^{(w-1)}

72.

Which statements are true about the concession stand sales for the month of September?

a)

The number of sales of a hamburger and water combination was 58.

b)

The percentage of hot dog sales was less than the percentage of hamburger sales.

c)

The number of drink sales with no food was less than the number of food sales with no drink.

d)

The percentage of sales of a hot dog and soda combination was greater than 30% of all sales.

e)

The percentage of sales of a hamburger and water combination was less than 20% of all sales眼里

73.

Given the function p(x) = {x2+5x+6, x<4}\left\{x^2+5x+6,\ x<-4\right\} {x+4, x4}\left\{x+4,\ x\ge-4\right\} , what is the range when the domain is 6,4,2,0,2{–6, –4, –2, 0, 2} ?

a)

{–60, 0, 2, 4, 6}

b)

{–2, 0, 2, 4, 6}

c)

{0, 2, 6, 12, 20}

d)

{0, 2, 4, 6, 12}

74.

Based on the account balance information, which statement is true?

a)

Account A and Account B both increase by equal factors over the same amount of time.

b)

Account A and Account B both increase by equal differences over the same amount of time.

c)

Account A increases by equal differences and Account B increases by equal factors over the same amount of time.

d)

Account A increases by equal factors and Account B increases by equal differences over the same amount of time.

75.

Steve is using the completing the square method to solve a quadratic equation. His first 2 steps are shown. Given: 2x2+32x+16=02x^2 + 32x + 16 = 0

Step 1: x2+16x+8=0x^2 + 16x + 8 = 0

Step 2: x2+16x=8x^2 + 16x = -8

Fill in the blanks to complete the square in Step 3.

Step 3: x2+16x+[   ]=[    ]x^2+16x+[\ \ \ ]=[\ \ \ \ ]

a)

64, 56

b)

16, 8

c)

32, 24

d)

8, 0

76.

Which system of equations is represented by the graph?

a)

x - 5y = 14, 5x - 4y = 28

b)

x + 5y = -6, 5x + 4y = 12

c)

3x - 3y = 6, 2x - 5y = 18

d)

3x + 3y = 6, 2x + 5y = -2

77.

The function f(p) = 45 - 4p represents the amount of money, in dollars, Jim has after purchasing p packets of trading cards. The function is modeled by the graph.

Based on the scenario, which statement describes domain values of the function?

a)

The domain of the function includes all real numbers.

b)

The domain of the function includes all real numbers where p ≤ 45.

c)

The domain of the function includes all whole numbers where p ≥ 0.

d)

The domain of the function includes all whole numbers where 0 ≤ p ≤ 11.

78.



(a)  

79.

The cost for bowling includes $4.00 for shoes and $4.75 for each game bowled. Which equation represents the amount, in dollars, y, for x games bowled?

a)

y = 4x - 4.75

b)

y = 4x + 4.75

c)

y = 4.75x - 4

d)

y = 4.75x + 4

80.

The table contains some points of a quadratic function. Which statements are true for the function represented by the table? Select two answer choices.

Select two answer choices.

a)

The function has a zero at (0, -6).

b)

The function has a zero at (-6, 0).

c)

The values of f(x) are increasing on the interval -2 < x < 0.

d)

The values of f(x) are decreasing on the interval -2 < x < 0.

e)

The function has a maximum value between x = -3 and x = -2

81.
a)

A

b)

B

c)

C

d)

D

82.

What is the solution to -2(9r + 3) - 7r ≥ -10r - (12r + 9)?

a)

r ≤ -5

b)

r ≥ -5

c)

r ≤ 1

d)

r ≥ 1

83.

A school has 124 students who want to take a new computer class. Each class can have a maximum of 18 students. Which inequality could be used to determine how many classes, c, need to be scheduled so that all students can take the class?

a)

124/c ≤ 18

b)

c/124 ≤ 18

c)

124/c ≥ 18

d)

c/124 ≥ 18

84.



(a)  

85.

Choose the correct bubble for the answer.

(a)  

86.

Which function represents the sequence 5, 15, 45, 135, ...?

a)

f(x) = 3(5)x3(5)^x

b)

f(x) = 5(3)(x1)5(3)^{(x-1)}

c)

f(x) = 3(5)(x1)3(5)^{(x-1)}

d)

f(x) = 5(3)x5(3)^x