Cumulative Exam Answers

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The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

x3 + 3x − 1

x3 + 4x − 1

x3 + 3x2 + 3x − 1

x3 + 2x2 − x + 1

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Which system of linear inequalities has the point (2, 1) in its solution set?

y less-than negative x + 3. y less-than-or-equal-to one-half x + 3

y less-than negative one-half x + 3. y less-than one-half x.

Option

y less-than one-half x. y less-than-or-equal-to negative one-half x + 2

Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.

slope: 2, y-intercept: –20

slope: 2, y-intercept: 10

slope: 5, y-intercept: –20

slope: 5, y-intercept: 10

Which table shows no correlation?

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.

A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.

The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.

The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.

The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.

The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

The table shows the total cost of purchasing x same-priced items and a catalog.

$4, the cost per item

$4, the cost of the catalog

$6, the cost per item

$6, the cost of the catalog

Which statements are true? Select three options.The line x = 0 is perpendicular to the line y = –3.All lines that are parallel to the y-axis are vertical lines.All lines that are perpendicular to the x-axis have a slope of 0.The equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2.The equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

The line x = 0 is perpendicular to the line y = –3.

All lines that are parallel to the y-axis are vertical lines.

All lines that are perpendicular to the x-axis have a slope of 0.

The equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2.

The equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

Jordan has a jar of quarters. When he has 60 quarters in the jar, the jar weighs 52 ounces. When there are 125 quarters in the jar, the jar weighs 65 ounces. What is the weight of the empty jar?

39 ounces

40 ounces

44 ounces

60 ounces

A mapping diagram shows a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 4), (0, negative 4), (negative 2, 2), (negative 2, negative 1), (1, negative 3), (3, 7).

(–3, –4)

(–2, –1)

(1, –3)

(3, 7)

Which expression is equivalent to –6x3 • x • y2 • y6?

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The inverse of the function f(x) = is shown. h(x) = 2x-What is the missing value?

Shannon graphed the system of equations.7x – 4y= –8y = x – 3What is the closest approximate solution to the system of equations?

(–5, –7.2)

(–5, –6.8)

(–5, –6.2)

(–5, –5.9)

Which graph shows the solution to the system of linear inequalities?2x – 3y <12y < –3

Option

Which is the graph of linear inequality 6x + 2y > –10?

Option

On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0).

all real numbers

all real numbers greater than or equal to –2

all real numbers greater than or equal to –5

all real numbers greater than or equal to 0

What is the solution (a, c) to this system of linear equations?2a – 3c = –6 a + 2c = 11

(negative StartFraction 76 over 7 EndFraction, StartFraction 17 over 7 EndFraction)

(3, –4)

(3, 4)

(StartFraction 87 over 7 EndFraction, negative StartFraction 5 over 7 EndFraction)

What is the solution to –2(8x – 4) < 2x + 5?

x >

x <

x > 6

x < 6

The 10th-grade class officers ordered t-shirts and sweatshirts to sell as a fundraiser. Each t-shirt weighed of a pound, and each sweatshirt weighed of a pound. The total weight of the contents of the box was pounds. Which equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered?

StartFraction one-half EndFraction t plus StartFraction 3 Over 4 EndFraction s equals 43 and StartFraction 3 Over 4 EndFraction

StartFraction 3 Over 4 EndFraction s equals negative StartFraction one-half EndFraction s plus 43 and StartFraction 3 Over 4 EndFraction.

2t + 3s = 175

3s = –2t + 175

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

ab(7a2 + 10ab + 14b2)

a2b(7 + 10b + 14b2)

7a2(b + 3b2 + 7b3)

7a2b3(b2 + 3b + 7)

What are the factors of 2x2 + 3x – 54? Select two options.2x – 92x – 62x + 6x – 6x + 6

2x – 9

2x – 6

2x + 6

x – 6

x + 6

Which expression is equivalent to ?

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Alejandro bought $3.50 worth of pencils and erasers at the school store. Pencils cost $0.50 apiece, and erasers cost $0.75 apiece. Which equation written in standard form represents the number of pencils, p, and the number of erasers, e, that Alejandro bought?

0.75e = 3.50 – 0.50p

0.50p + 0.75e = 3.50

3e = 14 – 2p

2p + 3e = 14

Which expression is a difference of squares with a factor of 5x − 8?

25x2 − 16

25x2 + 16

25x2 − 64

25x2 + 64

When a number is added to of itself, the result is 24. The equation that models this problem is n + n = 24. What is the value n?

n = 18

n = 20

n = 21

n = 23

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 100, negative 25, 40, 600. The second column is labeled money collected (y) with entries negative 500, negative 125, 250, 3000.

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 20, 20, 100, 109. The second column is labeled money collected (y) with entries negative 100, 100, 500, 545.

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400. The second column is labeled money collected (y) with entries 0, 50, 255, 2000.

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 5, 65, 80, 200. The second column is labeled money collected (y) with entries 25, 350, 400, 1000.

How many solutions does this linear system have?y = x+ 2 6x – 4y = –10

one solution: (–0.6, –1.6)

one solution: (–0.6, 1.6)

no solution

infinite number of solutions

Which is the graph of linear inequality x – 2y ≥ –12?

Option

At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.2x + 3y = 1240 x = 2y – 10How many of each type of ticket were sold?

180 food tickets and 293 ride tickets

180 food tickets and 350 ride tickets

293 food tickets and 180 ride tickets

350 food tickets and 180 ride tickets

The monomial 36x4 is a perfect square. What is the square root of 36x4?

6x2

6x4

18x2

18x4

What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15, 4)?

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Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed?

A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 2, 14, 39, 55. The second column is labeled total pages read (y) with entries 79, 101, 153, 185.

A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries negative 16, 6, 27, 52. The second column is labeled total pages read (y) with entries 43, 87, 129, 179.

A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 19, 32, 47. The second column is labeled total pages read (y) with entries 0, 113, 139, 169.

A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 11, 20.25, 58. The second column is labeled total pages read (y) with entries 75, 97, 115.5, 191.

The height of the parallelogram, h, can be found by dividing the area by the length of the base.

2x + 5 +

2x – 7 –

2x – 7 +

2x + 5 –

The radius and circumference of several objects were measured.

It is a weak positive correlation, and it is not likely causal.

It is a weak positive correlation, and it is likely causal.

It is a strong positive correlation, and it is not likely causal.

It is a strong positive correlation, and it is likely causal.

The tables represent the functions f(x) and g(x).

x = –12

x = –9

x = –6

x = –3

Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.Dance World: y = 15xToe Tappers: y = 25 + 12.5xHow many classes would Gina need to take for the total cost to be the same at both dance studios?

100

150

What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?1. The distributive property: 4x – 12 + 4 < 10 + 6x2. Combine like terms: 4x – 8 < 10 + 6x3. The addition property of inequality: 4x < 18 + 6x4. The subtraction property of inequality: –2x < 18 5. The division property of inequality: ________

x < –9

x > –9

x <

x > –

Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost $48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?

Option

Which graph represents the function y = 2x – 4?

Option

The potential energy, P, in a spring is represented using the formula P = kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.

k = 2Px2

k = Px2

k =

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.

$60

$80

$90

$100

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?36h3, 12h6, __________

6h3

12h2

30h4

48h5

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

f(x) = 6x – 1

f(x) = 8x – 6

f(x) = 4x – 14

f(x) = 4x – 10

Which is the graph of y – 3 = (x + 6)?

Option

The diagram represents the polynomial 4x2 + 23x – 72.

(4x + 8)(x – 9)

(4x – 8)(x + 9)

(4x + 9)(x – 8)

(4x – 9)(x + 8)

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