Free Printable BIG Year Review- Alg.

1.

Which of the following is the graph of the equation y= 3I x+3I-4?

a)

b)

c)

d)

2.

a)

(1,-2)

b)

(5,-2)

c)

(2,0)

d)

(3,1)

3.

a)

$h(x)=3\left|x-2\right|-3$

b)

$h(x)=3\left|x+2\right|+3$

c)

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

d)

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

4.

The circumference of a regulation discus used in men’s Olympic track and field events should be 712.25 millimeters. The manufacturing tolerance is within 5.25mm.

Part A: Which absolute value equation could be used to determine the maximum and minimum value of x, the circumference of a regulation discus used in men’s Olympic track and field events?

a)

$\left|x+5.25\right|=712.25$

b)

$\left|x-5.25\right|=712.25$

c)

$\left|x+712.25\right|=5.25$

d)

$\left|x-712.25\right|=5.25$

5.

The circumference of a regulation discus used in men’s Olympic track and field events should be 712.25 millimeters. The manufacturing tolerance is within 5.25mm.

Part A: Which absolute value equation could be used to determine the maximum and minimum value of x, the circumference of a regulation discus used in men’s Olympic track and field events?

I x+5.25 I= 712.25
I x-5.25 I = 712.25
I x+712.25 I =5.25
I x-712.25 I= 5.25

Part B: Determine the maximum and minimum value of the discus.

Minimum:

Maximum:

(Hint: Middle three boxes are the word "and")

(a)

6.

Which of the following absolute value equations has no solutions?

a)

$\left|6-2x\right|-25=-5$

b)

$\left|6x-15\right|+30=6$

c)

$\left|x+5\right|=20$

d)

$-5\left|k+4\right|+25=0$

7.

The function G(x)= I 0.08x-0.65 I +2.15 models the gas price, in dollars, for January 6, 2021 to August 24, 2021, where x is the number of weeks since January 6, 2021. Determine when the gas prices were $2.50.

a)

3.75

b)

10

c)

12.5

d)

13.5

e)

15.25

8.

Select all the exponential functions that can be classified as exponential growth.

a)

$h(x)=3^x$

b)

$q(x)=(1+0.45)^x$

c)

$v(x)=2(1-0.35)^x$

d)

$f(x)=12(4)^x$

e)

$g(x)=5(\frac{1}{6})^x$

9.

Which of the following scenarios is an example of exponential decay?

a)

A scientist uses the function $B(x)=2.5^x$ to measure the change in fungi growth in an experiment.

b)

A bank uses the function $L(x)=-400(1.25)^x$ to calculate the cost with interest on a loan.

c)

A mountain climber uses the function $P(x)=200(0.75)^x$ to measure the air pressure on a mountain.

d)

An influencer uses the function $F(x)=20(35)^x$ to track their social media followers.

10.

An equation is shown.

$y=3(1-\frac{1}{4})^x$

Part A: Which of the following shows the graph of this equation?

a)

b)

c)

d)

11.

An equation is shown.

$y=3(1-\ \frac{1}{4})^x$

a)

25%

b)

75%

c)

125%

d)

175%

12.

Select that graph of the function $f(x)=3^x$

a)

b)

c)

d)

13.

Which of the following statements about the function $f(x)=-3(1+0.5)^x$ is true?

a)

Since a is negative and b is greater than 1, the function is increasing.

b)

Since a is negative and b is greater than 1, the function is decreasing.

c)

Since a is negative and b is between 0 and 1, the function is increasing.

d)

Since a is negative and b is between 0 and 1 , the function is decreasing.

14.

As x-> -∞, y-> (a)

Choose from the below words

positive infinity

0

negative infinity

15.

And as x->∞, y-> (a)

Choose from the below words

0

positive inifinity

negative infinity

16.

The music industry has steadily moved from selling music in physical format such as records, eight tracks, cassettes, and CDs to selling digital formats. In 2001, the music industry sold $30.5 billion of music in the physical format. Each year after 2001, the amount of sales constantly decreased by 20%.

Select the function P(t), where the P represents the sales, in billions of dollars, of music in the physical format and t represents the number of years since 2001.

a)

$P(t)=30.5(.2)^t$

b)

$P(t)=30.5(.8)^t$

c)

$P(t)=30.5(1.2)^t$

d)

$P(t)=30.5(1.8)^t$

17.

a)

$y=-4(-1)^x$

b)

$y=4(-1)^x$

c)

$y=-1(4)^x$

18.

y=( (a) )( (b) ) $^x$

Choose from the below words

2

3

1

4

5

6

19.

Susan deposits $625 in an account with a 3.75% APR compounded quarterly.

Determine the balance in the account after 5 years.

(a)

20.

Her investment grew (a) because (b)

Choose from the below words

linearly

exponentially

it has more money,

the interest earned each year is constant

the interest earned each year is compounded

21.

a)

a

b)

b

c)

c

d)

d

22.

A data scientist is comparing real estate market trends in the southern United States for the years 2000 to 2015. The equation, y=2(x-8)²+120, represents the number of housing units sold, y, in thousands, for each year since 2000, x.

Select the years where the number of housing units sold in the southern United States was 128,000.

a)

2005

b)

2006

c)

2009

d)

2010

e)

2011

23.

a)

a

b)

b

c)

c

d)

d

24.

(a)

25.

a)

a

b)

b

c)

c

d)

d

26.

A quadratic function is graphed on the coordinate grid. The vertex and two points equidistant from the vertex are labeled. Write the equation for the quadratic formula graphed in the vertex form. y= (a) (x (b) (c) ) $^2$ + (d)

Choose from the below words

-1/2

+

4

3

2

1/2

-

5

0

27.

A table of values for a quadratic function is shown.

Write the equation in standard form for the quadratic function using the table.

a)

x²-10x+25

b)

x²-10x+85

c)

-2x²-20x+10

d)

-2x²+20x+10

28.

Write the equation, in factored form, for a quadratic function that has x-intercepts at -4 and 8 and passes through the point (9,39).

a)

y=-3(x-4)(x+8)

b)

y=3(x+4)(x-8)

c)

y=⅗(x+4)(x-8)

d)

y=⅗(x-4)(x+8)

29.

The graph of a quadratic function is shown.

Which quadratic function represents the graphed parabola?

a)

y=-2 $x^2$ +10x-8

b)

y=-12 $x^2$ +10/2x-8

c)

y=3 $x^2$ -15x-12

d)

y=-3 $x^2$ +12x-15

30.

The US government monitors the consumption of different products. They noticed that in the years 2004 and 2008, customers consumed 348 million pounds of ice cream. The minimum amount consumed occurred in 2006 and totaled 300 million pounds. The years can be represented by the variable x and the amount of ice cream consumed per million pounds can be represented by f(x).

Enter the value of a that can be used to express the quadratic function in standard form to model the amount of ice cream consumed, in millions of pounds.

f(x)= (a) x²+bx+c

31.

Part A

a)

a

b)

b

c)

c

d)

d

32.

Answer just Part B (The middle three boxes is the word 'and') Type in the first year and then the next year

(a)

33.

a)

positive infinity

b)

negative infinity

34.

a)

a

b)

b

c)

c

d)

d

35.

6) Which of the following shows the graph $-0.2\left(x+3\right)^2+5$ ?

a)

b)

c)

d)

36.

a)

a

b)

b

c)

c

d)

d

37.

(a)

38.

a)

a

b)

b

c)

c

d)

d

39.

a)

a

b)

b

c)

c

d)

d

40.

a)

A and A

b)

C and A

c)

C and C

d)

A and C

41.

a)

a

b)

b

c)

c

d)

d

42.

a)

a

b)

b

c)

c

d)

d

e)

e

43.

a)

a

b)

b

c)

c

d)

d

44.

a)

a

b)

b

c)

c

d)

d

45.

fill in the blanks to rewrite the expression

46.

a)

a

b)

b

c)

c

d)

d

47.

fill in the blanks

48.

a)

a

b)

b

c)

c

d)

d

49.

a)

a

b)

b

c)

c

d)

d

50.

a)

a

b)

b

c)

c

d)

d

51.

Write the values of the product

52.

a)

a

b)

b

c)

c

d)

d

53.

a)

a

b)

b

c)

c

d)

d

54.

a)

a

b)

b

c)

c

d)

d

55.

a)

a

b)

b

c)

c

d)

d

56.

a)

a

b)

b

c)

c

d)

d

57.

a)

a

b)

b

c)

c

d)

d

58.

Fill in the dividend

59.

a)

a

b)

b

c)

c

d)

d

60.

(a)

61.

a)

a= 4, b= 36

b)

a=25, b=4

c)

a=125, b=8

d)

a=8, b=125

62.

a)

a

b)

b

c)

c

d)

d

63.

a)

a

b)

b

c)

c

d)

d

e)

e

64.

a)

a

b)

b

c)

c

d)

d

65.

a)

a

b)

b

c)

c

d)

d

66.

a)

a

b)

b

c)

c

d)

d

67.

a)

a

b)

b

c)

c

d)

d

68.

Complete the blanks to generate an equivalent expression.

69.

Select the boxes to identify the number of solution to each system of equations

70.

Graph the system below

71.

What is the solution to the system of equations?

72.

What was the cost and year when the phones were the same?

73.

a)

a

b)

b

c)

c

d)

d

74.

Answer Part B

(a) hours

75.

a)

$x+3y\ge-5$

b)

$x+3y\ge5$

c)

$y<2x+3$

d)

$y<2x+10$

76.

a)

b)

c)

d)

77.

a)

b)

c)

d)

78.

Fill in the blanks

79.

a)

a

b)

b

c)

c

d)

d

80.

a)

a

b)

b

c)

c

d)

d

81.

The graph of the solution set to a linear inequality is shown on the coordinate grid.Which inequality can be used to represent the relationship between the quantities in the graph?

a)

$x<4$

b)

$x>4$

c)

$x\le4$

d)

$x\ge4$

82.

Brad is buying lunch meat and cheese from the deli. Lunch meat is $6 per pound and cheese is $8 per pound. He has a total of $48 to spend. Brad wrote the inequality 6x+8y48 to determine the combinations of lunchmeat,x, and cheese,y, that he can afford to purchase.

Which statement is true?

a)

The solution (1.5,5.5) is viable and means that Brad can buy 1.5 ounces of lunch meat and 5.5 ounces of cheese.

b)

The solution (1.5,5.5) is not viable because Brad does not have enough to spend $1.5 on lunch meat and $5.5 on cheese.

c)

The solution (5.5,1.5) is viable and means that Brad can buy 5.5 ounces of lunch meat and 1.5 ounces of cheese.

d)

The solution (5.5,1.5) is not viable because Brad does not have enough to spend $5.5 on lunch meat and $1.5 on cheese.

83.

A linear inequality is shown.

$y+3>-\frac{1}{2}\left(x-2\right)$

Complete the statement about the graph of the solution set.

The boundary line would be ____________(dashed or solid) and the shading for the solution set would be ______________(above or below) the line.

a)

dashed and above

b)

dashed and below

c)

solid and above

d)

solid and below

84.

A linear inequality is shown. $4x-5y\ge20$ Which graph represents the solution set to the linear inequality shown?

a)

b)

c)

d)

85.

An inequality is shown.

$\frac{2w+25}{5}+30>75$

What is the solution to the inequality?

a)

w>100

b)

w>110

c)

w>115

d)

w>150

86.

The graph of the solution set to a linear inequality is shown on the coordinate grid.

Which of the following inequalities represents the graph?

a)

$y<-3x+4$

b)

$y>-3x+4$

c)

$y\le-3x+4$

d)

$y\ge-3x+4$

87.

Part A: An inequality is shown.

$-2<-5x+17\le22$

What is the solution to the inequality?

a)

$-3<x\le-1$

b)

$-1\le x<-3$

c)

$-3\le x<-1$

d)

$-1\le x\le-3$

88.

Paul started a new job in October. He gets paid $15 per hour and has $55 deducted from his paycheck for uniforms. Paul needs to earn at least $500 in October to cover his bills.

How many hours, h, does he need to work to cover his bills in October?

a)

$h\ge37$

b)

$h\le37$

c)

$h<37$

d)

$h>37$

89.

A biologist records the average weight of the brain and body for a number of mammal species. The biologist uses the inequality $26\le0.4x+2.5\le115$ to determine the weights of the mammals,x whose brains weigh between 26 pounds and 115 lbs.

Fill in the blanks to correctly represent the weights of the mammals

(a)

90.

An inequality is shown.

$-\frac{1}{2}\left(60+20x\right)-12\ge4x+21$

Select all the values that would be included in the solution set.

a)

-14/3

b)

-3

c)

0

d)

2

e)

14/3

91.

A veterinary office tracked the height and weight of various dogs. The scatter plot shows some of the data and the equation for the line of best fit, y=2.26x-31.23, where x represents the dog’s height, in inches, and y represents the total weight of the dog, in pounds.

Based on the given model, what is the approximate height of a dog that weighs 35 pounds? Round to the nearest inch.

Height of 35 pound dog= (a) inches

92.

Each year, the State of Florida collects data on the price per box for each type of orange. A mathematician for a grower’s association analyzed the data for the years 2011-2020 for a certain variety of orange. Some of the data is shown.

The mathematician found the equation y=0.4x+7.21 models the data.

Based on the model, what is the price in 2020 for a box of oranges

a)

8.21

b)

10.81

c)

10.41

d)

12.21

93.

A foundation for outdoor activities tracks the number of participants in a variety of spots. A researcher used the data for the number of participants, in millions, who played tackle football for the years 2011-2023. The researcher found that the equation of the line of best fit is y=-0.45x+8.25 where x is the number of years since 2011 and y is the number of participants who played tackle football, in millions.

Some of the data and the line of best fit are shown on the coordinate grid.

Select the statements that are true.

a)

There are 2 million fewer people playing tackle football every year since 2011.

b)

Based on the model, there will be 1.95 million people playing tackle football in the year 2025.

c)

The slope of the line of best fit represents the number of people who play tackle football each year.

d)

The y-intercept represents the number of people, in millions, who played tackle football in 2011.

e)

During 2011-2023, the number of people who play table football decreased by 0.45 million people per year.

94.

Britanne wondered if there was a trend between the number of absences, x, from class and the students’ final grades, y. She collected data from students in her school and used the data to create the scatter plot shown.
The equation y=-4.5x+71.25 models this relationship.

What statement correctly interprets the y-intercept?

a)

For every day a student is absent, their grade will decrease by 4.5 points.

b)

When students have no absences, their final grade will be 71.25.

c)

If a student is absent for 10 days, their grade will be a 0.

d)

Students begin with a grade of 71.25 and will decrease with each absence.

95.

Noah placed an empty bowl on a scale. He added different amounts of liquid to the bowl, recording the amount added, in tablespoons, and the total weight of the bowl and liquid, in grams, each time on a scatter plot. He fit the line y=14.26x+524.32 to the data in his scatter plot, where x represents the amount of liquid, in tablespoons, and y represents the total weight of the bowl and the liquid, in grams.

Complete the statement to interpret the slope of the equation that fits the data.

On average, the change in total weight of the bowl and liquid ___________ for each tablespoon of liquid added.

a)

Increases by 14.26 grams

b)

Increases by 524.32 grams

c)

Decreases by 14.26 grams

d)

Decreases by 524.32 grams

96.

A researcher for a music company researched the sales, in millions of dollars, of music CDs, for x years from 1990 to 2010. The researcher used some of the data for the years 1990-2010 to determine the line of best fit. A graph of the residuals are shown.

Given this information, complete the following statement to describe the strength of this linear relationship.

The strength of the linear relationship is:

a)

strong

b)

weak

97.

A researcher for a music company researched the sales, in millions of dollars, of music CDs, for x years from 1990 to 2010. The researcher used some of the data for the years 1990-2010 to determine the line of best fit. A graph of the residuals are shown.

Given this information, complete the following statement to describe the strength of this linear relationship.

The residual values are:

a)

Relatively small and randomly scattered around the x-axis

b)

Relatively small and show a pattern

c)

Relatively large and randomly scattered around the x-axis

d)

Relatively large and show a pattern

98.

The scatter plot shows the high temperatures, in degrees Fahrenheit for the month of January in Orlando, Florida.Select all the points that would result in a positive residual.

a)

Point A

b)

Point B

c)

Point C

d)

Point D

e)

Point E

99.

A function is shown. $f\left(x\right)=\frac{3}{2}x-6$ What is the value of $f\left(6\right)$ ?

a)

3/2

b)

3

c)

6

d)

4

100.

What is the range of the graphed function?

a)

$\left\{y=2\right\}$

b)

$\left\{0\le y\le2\right\}$

c)

$\left\{-\infty\le y\le\infty\right\}$

d)

The range does not exist.

101.

The function y=2x-3 is shown on the graph below. What is the y-intercept of the function?

a)

(0,1)

b)

(1,0)

c)

(0,-3)

d)

(-3,0)

102.

A line passes through the point (0,8) and has a slope of 1/2. What is the x-intercept?

(a)

103.

A graph with four lines is shown. Which line shows that $x\rightarrow\infty,y\rightarrow-\infty$ ?

a)

Line 1

b)

Line 2

c)

Line 3

d)

Line 4

104.

10) The function S(t)=2.094t+18.362 models the amount of money, S, in billions of dollars, the United States government spent on science, space, and technology for the time period 2001-2011, where t is the number of years since 2001.

Interpret S(6) in this context.

a)

Year: 2006

b)

Year: 2007

c)

Year: 2008

105.

The x-intercept for Function A is _____________ the x-intercept for Function B.

a)

greater than

b)

less than

c)

the same as

106.

A table of values that represents a function is shown. What is the rate of change for the function represented above?

a)

1.5

b)

0.4

c)

-0.4

d)

-1.5

107.

A research firm determined that the equation y=4x+20 can be used to model the total amount of spending by tourists in Florida, y, in billions of dollars, for the years 2003-2009 where x is the number of years since 2003.

What is the domain of the function?

a)

x≥6

b)

x≤0

c)

0≥x≥6

d)

0≤x≤6

108.

What is the x and y intercepts of $6x+2y=12$ ?

a)

x intercept: 2, y intercept: 6

b)

x intercept: 6, y intercept: 2

c)

x intercept: 3, y intercept: 4

d)

x intercept: 4, y intercept: 3

109.

a)

a

b)

b

c)

c

d)

d

110.

a)

a

b)

b

c)

c

d)

d

111.

a)

y=-5/3x+3

b)

y=-3/5x+3

c)

y+2=-3/5(x-3)

d)

y-3=-5/3(x+2)

e)

y+2=-53(x-3)

112.

a)

a

b)

b

c)

c

d)

d

113.

a)

a

b)

b

c)

c

d)

d

114.

a)

a

b)

b

c)

c

d)

d

115.

a)

a

b)

b

c)

c

d)

d

116.

(a)

117.

a)

a

b)

b

c)

c

d)

d

e)

e

118.

a)

a

b)

b

c)

c

d)

d

119.

a)

a

b)

b

c)

c

d)

d

120.

a)

a

b)

b

c)

c

d)

d

121.

How many hours?

122.

a)

a

b)

b

c)

c

d)

d

123.

a)

a

b)

b

c)

c

d)

d

BIG Year Review- Alg.

Total questions: 123

Worksheet time: 2hrs 43mins

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