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Geometry Unit Question One Which equation represents the line that is parallel to 5 + = 13 and passes through the point (15, −31)? A) = −5 + 44 B) = −5 − 140 C) = 5 − 106 D) = 5 + 170 Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what are the coordinates of H? A) (2,8) B) (5,11) C) (14, 20) D) (20,14) Question Three Which of the following does not support why quadrilateral LMNP is a parallelogram? A) The slope of MN and LP are equal B) The slopes of ML and MN are opposite reciprocals C) The length of MN and PL are equal D) The length of LN and MP are equal Question Four Find the distance between the pair of coordinates. (-4, -3) and (-8, 7) A) 4√10 B) 2√29 C) 4 D) √14

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Page 1: Geometry Unit Question One Question Two - WordPress.com€¦ · Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what

Geometry Unit

Question One Which equation represents the line that is parallel to 5𝑥 + 𝑦 = 13 and passes through the point (15, −31)? A) 𝑦 = −5𝑥 + 44 B) 𝑦 = −5𝑥 − 140 C) 𝑦 = 5𝑥 − 106 D) 𝑦 = 5𝑥 + 170

Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what are the coordinates of H? A) (2,8) B) (5,11) C) (14, 20) D) (20,14)

Question Three

Which of the following does not support why quadrilateral LMNP is a parallelogram? A) The slope of MN and LP are equal B) The slopes of ML and MN are opposite reciprocals C) The length of MN and PL are equal D) The length of LN and MP are equal

Question Four

Find the distance between the pair of coordinates. (-4, -3) and (-8, 7)

A) 4√10

B) 2√29 C) 4

D) √14

Page 2: Geometry Unit Question One Question Two - WordPress.com€¦ · Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what

Statistics Unit

Question One

The table below shows the population (in millions) of several states and the number of electoral votes those states have.

Population Electoral Votes

8.4 15

4.1 8

17.0 27

8.7 15

Using the line of best fit for the data, about how many electoral votes should a state with a population of 7.4 million have? A) 11 B) 12 C) 13 D) 14

Question Two

The box and whisker plots below show the distribution of the heights, in inches, of the member of two basketball teams.

Which statement is true? A) The median height of Team A is equal to the median height of Team B. B) The shortest player on Team B is 2 inches taller than the shortest player on Team A. C) The range of the heights of Team A is equal to the range of the heights of Team B. D) The tallest player on Team A is 2 inches shorter than the tallest player on Team B.

Question Three

The table displays the number of miles driven and the total cost for a rental car.

Which best describes the constant of the best-fit linear model? A) For each additional mile driven, the cost increases by $0.75. B) For each additional mile driven, the cost increases by $0.38. C) The initial cost of the rental car is $75. D) The initial cost of the rental car is $38

Question Four

The number of runs scored by the Lions for six games is shown below.

5, 9, 1, 5, 2, 7 If the Lions scored 13 runs in their seventh game, which statement is true? A) The median and the mean both remain the same. B) The mean and median both increase. C) The median increases and the mean remains the same. D) The mean increases and the median remains the same.

Page 3: Geometry Unit Question One Question Two - WordPress.com€¦ · Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what

Intro to Functions Unit

Question One Carmen wants to increase the amount of time she spends studying. She plans to follow the schedule below:

Day Minutes spent studying

1 9

2 16

3 23

4 30

5 37

6 44

If she continues to follow the same pattern, how many minutes will she spend studying on day 7?

a) 44 minutes b) 51 minutes c) 88 minutes d) 9 minutes

Question Two The amount of gas Jalah uses when she drives her car can be represented by the function g=40m, where m is the total number of miles driven. Which variable is the dependent variable and what does it represent?

a) m, representing total miles driven b) m, representing total amount of gas used c) g, representing total amount of gas used d) g, representing total amount of miles driven

Question Three

What is the range of the discrete function f(x)=3x, if the domain is {2, 5, 6, 7}?

a. {6, 10, 12, 14} b. {4, 15, 18, 21} c. {6, 15, 18, 21} d. {2, 5, 6, 7}

Question Four

Identify the correct explicit formula for the following sequence: 330, 110, 36.667, …

a) 𝐺𝑛 = 990(1

3)𝑛

b) 𝐺𝑛 = 330(1

3)𝑛

c) 𝐴𝑛 = 330 +1

3𝑛

d) 𝐴𝑛 = 990 +1

3𝑛

Page 4: Geometry Unit Question One Question Two - WordPress.com€¦ · Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what

Exponential Functions Unit

Question One

What is the range of the function graphed below?

a) (2, ∞) b) (−5, ∞) c) (−∞, 2) d) (−∞, ∞)

Question Two

Sara wants to break her chocolate bar into equal pieces to share with her friends. She starts by breaking it in half, then breaks each of those pieces in half, and continues in this pattern… Which explicit rule could represent the number of pieces after each break?

a) 𝑦 = 4(1

2)𝑥

b) 𝑦 = 1(1

2)𝑥

c) 𝑦 = 2(2)𝑥 d) 𝑦 = 4(2)𝑥

Question Three The table below gives the average tuition cost at a public university for each year after 2012.

Years 1 2 3 4 5

Cost 20,000 22,000 25,000 25,000 27,000

Use your calculator to determine the exponential regression model from this data. Choose the correct equation below.

a) 𝑦 = 19,023.21(1.075)𝑥 b) 𝑦 = 1,8023.21(1.5)𝑥 c) 𝑦 = 19,023.21(.75)𝑥 d) 𝑦 = 18,023.21(1.075)𝑥

Question Four A local store is considering having a sale and has two options for discounting items. Option 1: Decrease the price of the item by 15% each week. Option 2: Decrease the price of the item by $5 each week. Assume each item originally costs $50. What will be the difference in the two options after 4 weeks?

a) Option 2 will be $26.00 cheaper than Option 1 b) Option 1 will be $26.00 cheaper than Option 2 c) Option 2 will be $3.90 cheaper than Option 1 d) Option 1 will be $3.90 cheaper than Option 2

Page 5: Geometry Unit Question One Question Two - WordPress.com€¦ · Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what

Solving Unit

Question One

Cooper performs the following steps while solving an equation:

Step 1: 2

5𝑥 − 6𝑥 = −14

Step 2: 5

2(

2

5𝑥 − 6𝑥) =

5

2(−14)

Which reason supports the work from step 1 to step 2?

a) Distributive property b) Associative property c) Addition property of equality d) Multiplication property of equality

Question Two

Which of the following represents a correct procedure for solving each given equation?

a) −2(𝑥 − 5) = −12 −2𝑥 − 10 = −12

−2𝑥 = −2 𝑥 = −1

b) 8(𝑥 − 5) = 24 8𝑥 − 40 = 24

8𝑥 = −16 𝑥 = −2

c) 5 − 2𝑥 = 8𝑥 + 25 5 = −10𝑥 + 25

30 = 10𝑥 3 = 𝑥

d) 7𝑥 − 12 = −2𝑥 + 15 9𝑥 − 12 = 15

9𝑥 = 27 𝑥 = 3

Question Three

Which of the following could be a correct procedure for solving the inequality below?

4𝑥 + 6 ≤ 6𝑥 + 15

a) 4𝑥 + 6 ≤ 6𝑥 + 15 −2𝑥 + 6 ≤ 15

−2𝑥 ≤ 9

𝑥 ≥ −9

2

b) 4𝑥 + 6 ≤ 6𝑥 + 15 −2𝑥 + 6 ≤ 15

−2𝑥 ≤ 21

𝑥 ≥ −21

2

c) 4𝑥 + 6 ≤ 6𝑥 + 15

−2𝑥 + 6 ≤ 15 −2𝑥 ≤ 9

𝑥 ≤ −9

2

d) 4𝑥 + 6 ≤ 6𝑥 + 15 −2𝑥 + 6 ≤ 15

−2𝑥 ≤ 9

𝑥 ≥9

2

Question Four Lakeisha correctly solved the inequality 7 − 3𝑥 < −3(𝑥 + 2). She determined there are no solutions to the inequality. Which statement could not be used to justify Lakeisha’s conclusion?

a) When Lakeisha simplifies the inequality, no values satisfy the resulting inequality.

b) When Lakeisha simplifies the inequality, the result is 7 < −6.

c) When Lakeisha distributes the 3 on the right side of the inequality and moves the variable to the left side, the result is 7 − 6𝑥 < 6.

d) When Lakeisha distributes the -3 on the right side of the inequality, it results in -3x, which when moved to the left side cancels out the variable terms.

Page 6: Geometry Unit Question One Question Two - WordPress.com€¦ · Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what

Systems Unit

Question One A system of equations is shown below.

4𝑥 + 5𝑦 = 716𝑥 + 10𝑦 = 18

What is the value of 𝑥 + 𝑦 in the solution to the system?

a) -1.5 b) -0.5 c) 0.5 d) 1.5

Question Two

Which system of inequalities is graphed below?

a) 𝑦 ≤ −2

3𝑥 + 5 and 𝑦 > 𝑥 − 3

b) 𝑦 < −2

3𝑥 + 5 and 𝑦 ≥ 𝑥 − 3

c) 𝑦 ≥ −2

3𝑥 + 5 and 𝑦 < 𝑥 − 3

d) 𝑦 > −2

3𝑥 + 5 and 𝑦 ≤ 𝑥 − 3

Question Three

Emily has a pet-care job that pays $5.00 per hour. She also does child care and charges $8.00 per hour. Emily wants to earn at least $125 each week, but does not want to work more than 20 hours. Which situation would satisfy both requirements?

a) Emily could do pet care for 12 hours and child care for 8 hours

b) Emily could do pet care for 8 hours and child care for 12 hours

c) Emily could do pet care for 14 hours and child care for 6 hours

d) Emily could do pet care for 10 hours and child care for 9 hours

Question Four

Michael is 12 years older than Lynn. The sum of Lynn’s and Michael’s ages is 84. How old is Michael?

a) 36 b) 38 c) 42 d) 4

Page 7: Geometry Unit Question One Question Two - WordPress.com€¦ · Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what

Exponent Properties & Polynomials Unit

Question One

Which of the following is equivalent to (5𝑥2𝑦4)(4𝑥−2𝑦)?

a) 9𝑥5 b) 9𝑥𝑦4 c) 20𝑥𝑦4 d) 20𝑦5

Question Two

The length of a rectangle is equal to 3𝑥 − 2. The width of the rectangle is equal to 𝑥2 − 4𝑥 + 8. Which expression is equal to the perimeter of the rectangle?

a) 𝑥2 − 𝑥 + 6 b) 𝑥2 − 7𝑥 + 6 c) 2𝑥2 − 2𝑥 + 12 d) 2𝑥2 − 14𝑥 + 12

Question Three The revenue for an amusement park can be modeled by 𝑅(𝑥) = 80𝑥 − 0.04𝑥2, where x is the number of people attending the park. The cost to operate the park can be modeled by 𝐶(𝑥) = 4.75𝑥 + 275. If profit is determined by subtracting cost from revenue, which function models the profit of the amusement park?

a) 𝑃(𝑥) = −0.04𝑥2 + 75.25𝑥 − 275 b) 𝑃(𝑥) = −0.04𝑥2 + 75.25𝑥 + 275 c) 𝑃(𝑥) = 0.04𝑥2 − 75.25𝑥 − 275 d) 𝑃(𝑥) = 0.04𝑥2 + 75.25𝑥 + 275

Question Four

The dimensions of a rectangular sandbox are 4𝑥 + 2 by 2𝑥 + 4. The dimensions of a rectangular garden are 3𝑥 − 2 by 𝑥 + 4. Which expression represents how much more area the sandbox covers than the garden?

a) 5𝑥2 + 10𝑥 + 16 b) 8𝑥2 + 20𝑥 + 8 c) 10𝑥2 + 8 d) 11𝑥2 + 30𝑥

Page 8: Geometry Unit Question One Question Two - WordPress.com€¦ · Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what

Linear Unit

Question One The table below shows the number of minutes Leo played basketball and the total number of calories he burned. What is the approximate average rate of change in the total calories Leo burned between 40 and 70 minutes?

A) 7.71 B) 8.21 C) 8.33 D) 8.75

Question Two A rental company uses the function f(x) = 150x +75 to calculate the cost to rent a beach house x numbers of nights. The maximum number of nights the beach house can be rented is 30. What is the domain of the function?

A) 0 ≤ x ≤ 30, where x is a whole number B) 0 < x < 30, where x is a whole number C) 0 ≤ x ≤ 4575, where x is a whole number D) 0 < x < 4575, where x is a whole number

Question Three Maria began the school year with $200 in her school lunch account.

The amount of money in the account has decreased linearly.

After 3 months, she had $155 in her account.

After 5 months, she had $125 in her account. Which function models the amount of money that Maria has in her account at the end of n months?

A) f(n) = 200 – 30n B) f(n) = 200 – 15n C) f(n) = 30n – 200 D) f(n) = 15n -200

Question Four A sequence is shown below.

32, 26, 20, 14, …

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

A) an = 6n +38 B) an = 6n +32 C) an = -6n +38 D) an = -6n +32

Page 9: Geometry Unit Question One Question Two - WordPress.com€¦ · Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what

Quadratics Unit

Question One The area of a square patio can be modeled by the function y = x2 -10x +25. The area of a second square patio can be modeled by the function y = x2 -30x +225. Let x represent the length of the patio and y represent the area of the patio. What is the difference between the length of the larger patio and the smaller patio?

A) 5 B) 10 C) 15 D) 20

Question Two Suppose the equation h(t) = -t2 +5t +14 models the height of a ball thrown into the air off the bleachers. Which statement about the flight of the ball is true?

a) The ball starts from a height of 19 feet. b) The ball takes 5 seconds before it hits the ground c) The ball takes 14 seconds before it hits the ground d) The ball reaches a maximum height of 20.25 feet

Question Three Which equation best models the function graphed below?

A) y = x2 -6x -8 B) y = -x2 + 6x -8 C) y = -x2 + 6x + 8 D) y = x2 + 6x + 8

Question Four What are the zeros of the function defined by x2 -5x -24?

A) -8, -3 B) -8, 3 C) -3, 8 D) 3,8

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Introduction to Functions

Station 1) Fill in PG. 2 of your Forget Me Not Booklet. Use the

anchor chart and word wall provided on PG. 1 to help.

2) Flip this paper over and check your answers. Fix

anything you got incorrect. Remember this is your

study tool for your EOC, so make sure to make

corrections!

3) Complete 2 of the 4 problems from this station to

practice. If you finish early, try another problem.

Check Answers: 1) B 2) C 3) C 4) A

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Evaluating and Solving Station 1) Fill in PG. 4 of your Forget Me Not Booklet. Use the

anchor chart and word wall provided on PG. 3 to help.

2) Flip this paper over and check your answers. Fix

anything you got incorrect. Remember this is your

study tool for your EOC, so make sure to make

corrections!

3) Complete 2 of the 4 problems from this station to

practice. If you finish early, try another problem.

Check Answers: 1) D 2) D 3) A 4) C

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Linear Functions Station 1) Fill in PG. 6 of your Forget Me Not Booklet. Use the

anchor chart and word wall provided on PG. 5 to help.

2) Flip this paper over and check your answers. Fix

anything you got incorrect. Remember this is your

study tool for your EOC, so make sure to make

corrections!

3) Complete 2 of the 4 problems from this station to

practice. If you finish early, try another problem.

Check Answers: 1) C 2) A 3) B 4) C

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Systems of Equations and

Inequalities Station 1) Fill in PG. 8 of your Forget Me Not Booklet. Use the

anchor chart and word wall provided on PG. 7 to help.

2) Flip this paper over and check your answers. Fix

anything you got incorrect. Remember this is your

study tool for your EOC, so make sure to make

corrections!

3) Complete 2 of the 4 problems from this station to

practice. If you finish early, try another problem.

Check Answers: 1) D 2) D 3) B 4) D

Page 14: Geometry Unit Question One Question Two - WordPress.com€¦ · Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what

Geometry Station 1) Fill in PG. 10 of your Forget Me Not Booklet. Use

the anchor chart and word wall provided on PG. 9 to

help.

2) Flip this paper over and check your answers. Fix

anything you got incorrect. Remember this is your

study tool for your EOC, so make sure to make

corrections!

3) Complete 2 of the 4 problems from this station to

practice. If you finish early, try another problem.

Check Answers: 1) A 2) C 3) D 4) B

Page 15: Geometry Unit Question One Question Two - WordPress.com€¦ · Question Two Line segment GH has its midpoint at M. If G is located at (-2,4) and M is located at (6,12), then what

Exponential Function Station 1) Fill in PG. 12 of your Forget Me Not Booklet. Use

the anchor chart and word wall provided on PG. 11 to

help.

2) Flip this paper over and check your answers. Fix

anything you got incorrect. Remember this is your

study tool for your EOC, so make sure to make

corrections!

3) Complete 2 of the 4 problems from this station to

practice. If you finish early, try another problem.

Check Answers: 1) A 2) B 3) A 4) D

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Exponent Properties and

Polynomials Station 1) Fill in PG. 14 of your Forget Me Not Booklet. Use

the anchor chart and word wall provided on PG. 13 to

help.

2) Flip this paper over and check your answers. Fix

anything you got incorrect. Remember this is your

study tool for your EOC, so make sure to make

corrections!

3) Complete 2 of the 4 problems from this station to

practice. If you finish early, try another problem.

Check Answers: 1) D 2) C 3) A 4) A

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Quadratics Station 1) Fill in PG. 16-17 of your Forget Me Not Booklet. Use

the anchor chart and word wall provided on PG. 15 to

help.

2) Flip this paper over and check your answers. Fix

anything you got incorrect. Remember this is your

study tool for your EOC, so make sure to make

corrections!

3) Complete 2 of the 4 problems from this station to

practice. If you finish early, try another problem.

Check Answers: 1) B 2) D 3) D 4) C

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Statistics Station **This will be our last unit of the year, so no

need to fill in the Forget Me Not Booklet**

Complete 2 of the 4 problems from this station to

practice. If you finish early, try another problem.

Check Answers: 1) C 2) C 3) D 4) D