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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

Two taxi companies set their fares according to linear formulas.
Company 1: C=4x+5, where C is total cost in dollars and x is miles driven.
Company 2: C=r(x+2)+6.
There is no mileage x for which the two companies charge the same fare. Find the value of r.

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

The surface of Lake Erie is 9,910 square miles. On a certain day, ice covers 41% of the lake. A wind storm then shifts the ice, so 18% of the icy area drifts out of the lake. Approximately how many square miles of Lake Erie remain covered by ice?(Round the answer to the nearest integer.)

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

During hibernation, American black bears do not eat or replenish calories. A certain black bear weighed 286 pounds when entering hibernation and lost weight at a mean rate of 0.8 pounds per day. At this rate, how many days after entering hibernation would the black bear weigh 230 pounds?

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

A rectangular prism has length 15, width 10, height 8. A plane cuts through the midpoints of three adjacent edges at one vertex. Find the volume of the small pyramid cut off.

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

The line y=kx+7 passes through (12, -29). Find k.

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

Which expression is equivalent to

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

Which expression is equivalent to

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

In triangle ABC, ∠A = x+10°, ∠B=2x, and ∠C=3x-40°. Find the difference between the largest angle and the smallest angle.

A25°B30°C40°D50°

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

The solution to the given system of equations is (x,y). What is the value of 2x-y?

17/3

B10C13D16

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

The function h is defined by h(x)=5|2x-3|. What is the value of h(-2)+h(1)?

A25B30C35D40

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

A plant nursery sells marble queen pothos stems for $4 each and snow queen pothos stems for $6 each. The nursery sells a total of 32 stems of these two varieties, and earns a total of $148 from these sales. Let x represent the number of marble queen pothos stems and y represent the number of snow queen pothos stems. How many more marble queen pothos stems than snow queen pothos stems were sold?

A6B8C10D12

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

A linear function is defined by g(x)=px+q, where p and q are constants. If g(2)=13 and g(5)=22, what is the value of 4p+q?

A19B22C25D

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

Rectangle A has an area of 70 square inches, with its longer side equal to 14 inches. Rectangle B has the same perimeter as rectangle A. The shorter side of rectangle B is 2 inches less than the shorter side of rectangle A. What is the area, in square inches, of rectangle B?

A42B56C63D48

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

The graph of y=g(x) is the graph of y=f(x) shifted 3 units right and reflected over the x‑axis. If f(x)=

-4x, then g(x)=?

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

In a right triangle, the longer leg is 4 longer than shorter leg, hypotenuse is

. What is length of shorter leg?

A4B6C8D10

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

Given x+y=9,

. What is value of

A279B351C341D373

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

A linear cost model C(t)=kt+b for tool rental in dollars. Rent for 3 hours costs $26; rent for 7 hours costs $46. What is cost for renting 10 hours?

A58B61C64D67

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

An arborist measured and recorded the heights of red maple trees in a certain area. Of the red maple tree heights recorded in this area, the minimum was 46 feet and the maximum was 57 feet. Which inequality is true for all possible values of t, where t represents the recorded height, in feet, of a red maple tree in this area?

At ≤ 46Bt ≥ 57Ct ≥ 103D46 ≤ t ≤ 57

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

A capillary tube is used to hold a substance while measuring its melting point. The volume of the substance in this capillary tube is 2.23 cubic millimeters. What is this volume in cubic centimeters? (1 centimeter = 10 millimeters)

A0.00223B0.0223C22.3D2,230

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

In the scatterplot, a line of best fit for the data is shown.

Which of the following equations best represents this line of best fit?

Ay = 1.56xBy = 10.71 - 1.56xCy = 10.71Dy = -10.71x

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

The graph of a system of three equations is shown. The system consists of two linear equations and one quadratic equation. How many solutions does this system have?

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Chapter 6 · 2026.8 : B-A(analysis included) · MATH 2

The function k is defined by k(x)=x³ +80.What is the value of k(x) when x=2 ?

MATH 2 · 22 questions