Answers 26-27 AISD - Algebra 2A-IC HallReflections and Dilations of Absolute Value Functions

Reflections and Dilations of Absolute Value Functions — Cumulative exam Answers

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A 2-column table with 10 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4, 5. The second column is labeled f of x with entries 105, 0, negative 15, 0, 9, 0, negative 15, 0, 105, 384.

(0, 9)

(4, 105)

(–1, 0)

(2, –15)

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Which table represents a linear function?

Option

The questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. Let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. Sydney earned more than 80 points on the test. The inequality representing her score is 3x+5y>80.

Which statement best describes and the parent function ?

The domains of g(x) and f(x) are the same, but their ranges are not the same.

The ranges of g(x) and f(x) are the same, but their domains are not the same.

The ranges of g(x) and f(x) are the same, and their domains are also the same.

The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?

h + c ≤ 803h + 3.5c ≤ 100

h + c ≤ 803h + 3.5c ≥ 100

h + c ≤ 1003h + 3.5c ≤ 80

h + c ≤ 1003h + 3.5c ≥ 80

The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides.Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole number.

6 sides

7 sides

8 sides

9 sides

On a coordinate plane, a curved line with minimum values of (negative 0.44, negative 4.3) and (3, negative 4), and a maximum value of (1.7, 0.7), crosses the x-axis at (negative 2.5, 0), (1.3, 0), (2, 0), and (3.44, 0), and crosses the y-axis at (0, negative 4).

[–4, –2.5]

[–2, –1]

[1, 2]

[2.5, 4]

Which ordered pairs are in the solution set of the system of linear inequalities?y > x + 2y < 2x + 3

(2, 2), (3, 1), (4, 2)

(2, 2), (3, –1), (4, 1)

(2, 2), (1, –2), (0, 2)

(2, 2), (1, 2), (2, 0)

Which table represents points on the graph of h(x) = ?

A 2-row table has 5 columns. The first row is labeled x with entries negative 8, negative 1, 0, 1, 8. The second row is labeled y with entries 4, 3, 2, 1, 0.

A 2-row table has 5 columns. The first row is labeled x with entries negative 2, negative 1, 0, 1, 2. The second row is labeled y with entries 10, 3, 2, 1, negative 6.

A 2-row table has 5 columns. The first row is labeled x with entries negative 6, 1, 2, 3, 10. The second row is labeled y with entries 2, 1, 0, negative 1, negative 2.

A 2-row table has 5 columns. The first row is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0. The second row is labeled y with entries negative 8, negative 1, 0, 1, 8.

What is the x-value of the solution to the system of equations?5x + 4y = 82x − 3y = 17

−3

−2

Lukas graphed the system of equations shown.2x + 3y = 2y = x + 3What is the solution to the system of equations?

(–2, 2)

(0, 0.67)

(0, 3)

(1, 0)

Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below.3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5|=0.5 0.5x+1.5=0.5 0.5x=−1 x=−2

x=−6

x=−4

x=2

x=4

Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute?

2 feet

12 feet

720 feet

7,200 feet

What is the solution to 3|–3x + 9| = –18?

x = –5

x = 5 or x = 1

x = –5 or x = 1

no solution

On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan’s town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation |x – 55| = 4.2. Which equation can be used to determine the maximum safe driving speed?

x – 55 = 4.2

x – 55 = –4.2

x + 55 = 4.2

x + 55 = –4.2

What is the y-value of the solution to the system of equations?3x + 5y = 17x + 4y = −13

−3

−1

On a coordinate plane, solid circles appear at the following points: (negative 3, negative 3), (negative 3, 2), (1, 1), (2, negative 2), (3, 4), (4, negative 2).

(4, –2)

(–3, 2)

(3, 4)

(1, 1)

A metalsmith is mixing two molten metals, each containing different percentages of silver. The table shows the amount of each molten metal used.

(15)(0.75) and 0.7(15 – x) + 0.9x

(15)(0.75) and 0.7(15 – x)(0.9x)

15 + 0.75 and 0.7(15 – x) + 0.9x

15 + 0.75 and 0.7(15 – x)(0.9x)

The graph represents the cost of catering a dinner as a function of the number of guests.

$400

$600

$700

$800

The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend.

The team charged $1 to wrap a gift with no bow and $2 to wrap a gift with a bow.

The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.

The team charged $3 to wrap a gift with no bow and $4 to wrap a gift with a bow.

The team charged $4 to wrap a gift with no bow and $5 to wrap a gift with a bow.

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Reflections and Dilations of Absolute Value Functions — Cumulative exam Answers

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