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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

The price to rent an event space is $1,050 for the first 3 hours, $200 per hour for the next 4 hours, and $150 per hour for any remaining hours. If the total rental time exceeds 8 hours, a 10% discount is applied to the total bill. What is the total price, in dollars, to rent the event space for 10 hours?

$2,070

$2,300

$2,250

$2,800

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

If 5x + 4 = 34, what is the value of $\frac {(50x+40)(x-2)} {5x+4}$ ?

340

400

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

In the figure, line p is parallel to line r, and line t intersects both lines. What is the value of x?

A25B50C180D230

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

Which expression is equivalent to 6xy(2x² + 7y)?

A8x³y + 13xy²B12x²y + 7yC12x²y + 42xyD12x³y + 42xy²

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

The graph of the equation y = 4^x + k is shown, where k is a constant. What is the value of k?

-5

-4

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

The length of a side of square X is 8 centimeters. The area of rectangle Y is 45 square centimeters. What is the total area, in square centimeters, of square X and rectangle Y?

A154B109C106D64

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

In each of the following data sets of 5 values, p is a constant. Which of these data sets has the largest standard deviation?

Ap - 5, p - 5, p, p + 5, p + 5Bp - 6, p, p, p, p + 6Cp - 9, p - 6, p, p + 6, p + 9Dp, p, p, p, p

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

The function f(x) = 900(0.5)^（x/12） gives the predicted intensity of a beam f(x), in number of photons in the beam, x millimeters below the surface of a certain material. What is the best interpretation of f(12) = 450?

AA beam at the surface of the material has a predicted intensity of 12 photons in the beam.BA beam at the surface of the material has a predicted intensity of 450 photons in the beam.CA beam 12 millimeters below the surface of the material has a predicted intensity of 450 photons in the beam.DA beam 450 millimeters below the surface of the material has a predicted intensity of 900 photons in the beam.

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

A certain university's research farm is 1,000 acres, of which 76 acres contain rice. What percentage of the acres of this research farm contain rice?

A0.76%B7.6%C76%D760%

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

At a fundraiser, a family pays a fixed entrance fee. They then purchase food tickets, which each have the same cost. The table shows the relationship between the number of food tickets, x, that are purchased and the total amount paid y, in dollars, for both the entrance fee and the food tickets. Which equation represents the relationship between x and y?

Ay = (3/2)x + 19By = (3/2)x - 41Cy = (3/2)x + 82/3Dy = (3/2)x + 38/3

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

The given equation relates the real numbers b, c, and d, where b² + 4c = 7d. Which equation correctly expresses b in terms of c and d?

Ab = (7d + 4c)/2Bb = (7d - 4c)/2Cb =

Db =

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

The function f is defined by f(x) = (x+17)/5, and f(a) = -19, where a is a constant. What is the value of a?

A-112B-78C-78/5D-2/5

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

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

(|3x - 54| + 3)/6 = 9

A1B35C36D54

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

8x - 3y = 3y + 9

hy = 2 + 8x

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

A2B4C6D8

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

In triangle QRS shown, QR < RS. Which expression represents the length of QS?

A22 cos QB22 sin QC22 / cos QD22 / sin Q

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

The shaded region shown represents the solutions to which inequality?

Ay > 2x - 15By < 2x - 15Cy > 10x - 15Dy < 10x - 15

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

A dog walker charges $19 per walk. A customer has a coupon that gives a 20% discount on the total cost of all walks. Which equation gives the total amount , in dollars, that the customer pays for walks after applying the coupon?

t=19w−0.20

t=1.20(19w)

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

A triathlon is a multisport race consisting of three different consecutive events. A triathlon participant plans to complete the cycling event with an average speed of 33,792 yards per hour. What is this average speed, in miles per hour? (1 mile = 1,760 yards)

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

The graph of 4x + y = 19 in the xy-plane is a line. What is the slope of the line?

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

A linear function g is defined by g(x) = ax + b, where a and b are constants. If g(-4) = -6 and g(3) = 8, what is the value of a?

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

h(t) = -16t² + b

The function h estimates an object's height, in feet, above the ground t seconds after the object is dropped, where b is a constant. The function estimates that the object is 43.56 feet above the ground when it is dropped at t = 0. How many seconds after being dropped does the function estimate the object will hit the ground?

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Chapter 12 · 2026.6 : A-B(analysis included) · MATH 1

The sides of a rectangle are such that the length is 11 centimeters more than 8 times the width, in centimeters. If the width of the rectangle is 5 centimeters, what is the area, in square centimeters, of the rectangle?

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MATH 1 · 22 questions