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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

If 9 + x = -7 , what is the value of -27-3x ?

A-21B-28C21D28

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

The graph of the linear function f is shown, where y = f(x) . Which equation defines f ?

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

Scientists collected fallen acorns that each housed a colony of the ant species P. ohioensis and analyzed each colony's structure. For any of these colonies, if the colony has x worker ants , the equation , where , gives the predicted number of larvae , y , in the colony. If one of these colonies has 52 worker ants , which of the following is closest to the predicted number of larvae in the colony?

A33B55C78D169

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

A window repair specialist charges

for the first three hours of repair plus an hourly fee for each additional hour. The total cost for 6 hours of repair is

. Which function f gives the total cost , in dollars , for x hours of repair , where

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

The function

gives a toy car's height above the ground f(x) , in inches , x seconds after it started moving on an elevated track , where

. Which of the following is the best interpretation of the vertex of the graph of y = f(x) in the xy-plane?

AThe toy car's minimum height was 6 inches above the ground.BThe toy car's minimum height was 5 inches above the ground.CThe toy car's height was 6 inches above the ground when it started moving.DThe toy car's height was 5 inches above the ground when it started moving.

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

The graph of the equation ax + ky = 15 is a line in the xy-plane, where a and k are constants. If the line contains the points (-3,-3) and (0,-5), what is the value of k ?

A-2B-3C2D3

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?

y > 4x - 3

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

The manager of an online news service received the report above on the number of subscriptions sold by the service. The manager estimated that the percent increase from 2012 to 2013 would be double the percent increase from 2013 to 2014 . How many subscriptions did the manager expect would be sold in 2014?

A6,020B6,027C6,440D6,468

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

The table gives the coordinates of two points on a line in the xy-plane. The y-intercept of the line is (k-5,b) , where k and b are constants. What is the value of b?

A-7B-33C7D33

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

In the given system of equations , p is a constant. If the system has no solution , what is the value of p ?

A1B2C3D6

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

One solution to the given equation can be written as where k is a constant . What is the value of k ?

A10B20C30D40

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

What is the positive solution to the given equation?

A-1B-9C1D9

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

The first term of a sequence is 8 . Each term after the first is 5 times the preceding term. If m represents the n^th term of the sequence , which equation gives m in terms of n ?

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

In triangle ABC , the measure of angle B is 90°and BD is an altitude of the triangle. The length of AB is 15 and the length of AC is 23 greater than the length of AB . What is the value of

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

Which of the following expressions is(are) a factor of ?
I. x - 9
II. 3x - 7

I only

II only

I and II

Neither I nor II

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

Data set A consists of 10 positive integers less than 60 . The list shown gives 9 of the integers from data set A.
43 , 45 , 44 , 43 , 38 , 39 , 40 , 46 , 40
The mean of these 9 integers is 42 . If the mean of data set A is an integer that is greater than 42 , what is the value of the largest integer from data set A ?

A43B

C59D60

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

Point O is the center of the circle below , and the measure of ∠OAB is 30°. If the length of OC is 18 , what is the length of arc AB ?

A9πB12πC15πD18π

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

In triangles ABC and DEF , angles B and E each have measure 27°and angles C and F each have measure 41°. Which additional piece of information is sufficient to determine whether triangle ABC is congruent to triangle DEF ?

AThe measure of angle ABThe length of side ABCThe lengths of sides BC and EFDNo additional information is necessary.

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

The function f is defined by

, where a and b are constants. In the xy-plane, the graph of y = f(x) has an x-intercept at (2,0) and a y-intercept at (0,-323) . What is the value of b ?

A-324B-18C18D324

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

A right rectangular prism has a base area of

square centimeters

. The length of the base of the rectangular prism is

, and the height of the rectangular prism is 5 cm . Which expression represents the surface area , in

, of the right rectangular prism?

A96t + 7B192t + 14C288t + 21D384t + 28

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

In the given equation , k is a positive constant. The product of the solutions to the equation is 72 . What is the value of k ?

A3B6C9D12

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Chapter 49 · 2025.5 : B-A (analysis included) · MATH 1

Function f is defined by , where a and b are constants. In the xy-plane , the graph of has a y-intercept at . The product of a and b is . What is the value of a ?