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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

The function is defined by f(x)=6x−3

If f(2a)+f(a−1)=5a+1, what is the value of ?

A-1B

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

Line in the -plane passes through the points and . Line is the reflection of line across the -axis. What is the -intercept of line ?

$-\frac {5} {6}$

$\frac {5} {6}$

$-\frac {6} {5}$

$\frac {6} {5}$

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

The function f is defined by f(x) = (ax+b)/(x+c) + k, where a, b, c, and k are constants. The graph of y = f(x) is shown. For how many values of x does f(x) = 0?

AThreeBTwoCOneDZero

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

The area of triangle ABC is 250 square centimeters. What is the height h, in centimeters, of this triangle?

A10B25C50D100

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

A circle in the xy-plane has its center at (9, 6) and has a radius of length 4. Which equation represents this circle?

A(x + 9)² + (y + 6)² = 4B(x - 9)² + (y - 6)² = 4C(x + 9)² + (y + 6)² = 16D(x - 9)² + (y - 6)² = 16

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

There is a proportional relationship between p and t. If p = 5,610 when t = 7,480, then what is the value of t when p = 4,488?

A2,618B3,366C5,984D6,358

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

(|4x - 48| + 4)/6 = 8

What is the sum of the solutions to the given equation?

A1B23C24D48

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

A beekeeper’s initial observation of the population of a certain bee colony was 1,800 bees. The beekeeper set a goal to increase the population to 3,300 bees. The beekeeper uses a model that predicts the population of this bee colony begins at 1,800 and increases by 120 bees per week in the first two weeks after the initial observation, and then increases by 180 bees per week until the beekeeper’s goal is reached. According to this model, at the end of week w after the initial observation, where w > 2, which of the following functions gives the predicted number of bees still needed to reach the beekeeper’s goal?

Ap(w) = 3,300 - 180wBp(w) = 3,180 + 180wCp(w) = 1,620 - 180wDp(w) = -120 + 180w

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

r > 0.54t

The given inequality describes the total rainfall r, in inches, in a certain area over a period of t hours, where t ≤ 4. Which of the following describes this rainfall?

AAn average rainfall of exactly 0.54 inches per hourBAn average rainfall of more than 0.54 inches per hourCA total rainfall of more than 4 inchesDA total rainfall of exactly 4 inches

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

The measures of the interior angles of triangle ABC are 22°, 44°, and x°. What is the value of x?

A22B66C114D180

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

The length of a side of square X is 7 centimeters. The area of rectangle Y is 32 square centimeters. What is the total area, in square centimeters, of square X and rectangle Y?

A113B81C78D49

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

The graph of y = (1/6)^x + 1 in the xy-plane is shifted up 4 units. What is an equation of the resulting graph?

y = (1/6)^x+4 + 1

y = (1/6)^x-4 + 1

y = 4(1/6)^x+ 1

y = (1/6)^x + 5

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

There is a proportional relationship between p and t. If p = 2,520 when t = 3,360, then what is the value of t when p = 2,016?

A2,856B2,688C1,512D1,176

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

The graph of the function f, where y = f(x), gives the total cost y, in dollars, for a certain video game system and x games. What is the best interpretation of the slope of the graph in this context?

AEach game costs $17.BThe video game system costs $17.CEach game costs $150.DThe video game system costs $150.

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

A machine makes 7-inch, 9-inch, and 4-inch parts. During a certain day, the number of 7-inch parts that the machine makes is 5 times the number n of 9-inch parts, and the number of 4-inch parts is 4. During this day, the machine makes 100 parts total. Which equation represents this situation?

A7(5n) + 9n + 4(4) = 100B7n + 9n + 4n = 100C5n + 4 = 100D6n + 4 = 100

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

When the polynomial function g is graphed in the xy-plane such that y = g(x), it passes through the points (6, 0), (7, 0), and (0, 13). Which of the following must be true?

I. When g(x) is divided by (x - 6), the remainder is 0.

II. The point (7, 0) is an x-intercept of the graph of y = g(x).

III. When g(x) is divided by (x - 13), the remainder is 0.

AII onlyBI and II onlyCI and III onlyDI, II, and III

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

A campaign organizer is setting up tables for an event. The tables come in two sizes: small and large. Each of the small tables can seat 6 people and each of the large tables can seat 8 people. The event needs to seat at least 95 people. Which inequality represents this situation, where x is the number of small tables and y is the number of large tables the organizer is setting up for the event?

A6x + 8y ≥ 95B6x + 8y ≤ 95C8x + 6y ≥ 95D8x + 6y ≤ 95

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

In triangle DEF, the measure of ∠D is 143°. Which of the following could be the measure, in degrees, of ∠E?

A36B38C90D144

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

In the figure, lines m and n are parallel and line t intersects both lines. If a = 5x + 62 and b = (1/2)x + 45.4, what is the value of x?

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

19x - 21y = 31

7x + 14y = 59

The solution to the given system of equations is (x, y) = (p/59, w/826), where p and w are integers. What is the value of p?

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

The area of a triangle is 33 square inches. The length of the base of the triangle, in inches, is the sum of 14 and a positive number d, and the height, in inches, is 5 less than d. What is the value of d?

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Chapter 11 · 2026.6 : B-A(analysis included) · MATH 2

For a project, Kayla recorded the heights of 25 people in her neighborhood. The histogram summarizes the heights, in inches (in), of these 25 people in Kayla's neighborhood. The first bar represents people with a height of at least 50 in but less than 53 in. The second bar represents people with a height of at least 53 in but less than 56 in, and so on.

How many of these 25 people in Kayla's neighborhood had a height of at least 50 in but less than 56 in?

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MATH 2 · 22 questions