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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

A real estate company offers a series of three webinars. 3,750 people attended the first webinar. 72% of the people who attended the first webinar attended the second webinar, and 40% of the people who attended both the first and second webinar attended the third webinar. Of those who attended the first but did not attend the second webinar, 32% attended the third webinar. How many people attended both the first and third webinars but did not attend the second webinar?

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

The function f(x)=25x+600 gives the monthly fee, in dollars, a storage company charges to keep x boxes in its warehouse. For every box above 30 boxes, the company gives a $15‑dollar monthly discount per extra box. What is the monthly fee, in dollars, to keep 40 boxes in its warehouse?

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

3x = 6 + 7y
-3x = 2 + 7y

The solution to the given system of equations is (x, y). What is the value of 6x?

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

The graph of a system of a linear equation and a nonlinear equation is shown．What is the solution (x,y) to this system？

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

The average (arithmetic mean) of 11 test scores is 78. A twelfth score is added to the set, and the new average becomes 80. What is the value of the twelfth score?

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

A researcher records that the total cost, in dollars, of renting a lab space for h hours includes a fixed cleaning fee and an hourly rate. If the total cost for 2 hours is $110 and the total cost for 5 hours is $200, what is the fixed cleaning fee?

A30B40C50D60

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

In triangle PQR, the measure of ∠P is 56°, and the measure of ∠Q is 74°. What is the measure of ∠R ?

A18°B50°C112°D130°

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

What are all possible solutions to the given equation?

A-16 and -4B-16 and 4C-4 and 16D4 and 16

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

The function f(x) is defined as 34 more than 5 times a number x. If y=f(x) is graphed in the xy-plane, what is the best interpretation of the x-intercept?

AWhen f(x)=0, the number is

.BWhen the number is 0,f(x)=34 .CThe value of f(x) increases by 1 for each increase of 5 in the value of the number.DFor each increase of 1 in the value of the number, f(x) increases by 5 .

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

What is the value of tanF in the triangle shown?

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

In the given equation, k is a constant. The equation has exactly one real solution. What is the value of k ?

A135B132C129D36

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

The positive number a is 220% of the number b, and a is 90% of the number c. If c is p% of b , which of the following is closest to the value of p ?

A133B144C198D244

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

Which expression is equivalent to 2xy+14x²y+16xy² ?

2xy(7x+8y)

2xy(14x+16y)

2xy(1+7x+8y)

2xy(1+14x+16y)

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

The graph of a system of linear equations is shown. What is the solution

to the system?

A(5,3)B(4,3)C(3,3)D(0,3)

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

The ratio of the length to the width of a rectangle is 7:2. If the perimeter of the rectangle is 38 inches, what is the length, in inches, of the shorter side?

A9/38B4C38/7D38/9

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

A data set has a mean of 36 and a median of 32. Which statement is most likely true?

AThe data is symmetricBThe data has outliers on the high sideCThe data has outliers on the low sideDThe standard deviation is zero

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

In a circle, an arc measures 75° with arc length 10π. What is the radius?

A24B28C30D32

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

If m-3n=8, what is the value of 2m-6n+5?

A16B21C24D29

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

A right circular cone has radius 9 and height 12. A smaller similar cone is cut from the top with height 8. What is the ratio of smaller volume to larger volume?

A4:9B8:27C16:81D64:216

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

A task can be completed by 15 workers in 8 days. However, due to scheduling constraints, only 10 workers are available for the first 2 days, and then 12 workers work for the next 2 days. How many workers must be assigned to work on the remaining days in order to finish the task exactly on the original schedule?

A17B18C19D20

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

For a linear relationship between x and y, the table gives three values of x and their corresponding values of y. Which equation represents this relationship?

Ay=10x+140By=x+150Cy=x+10Dy=10x

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Chapter 7 · 2026.8 : A-C(analysis included) · MATH 1

A group of workers complete a large landscaping task working 8‑hour shifts each day. If 15 workers, each working an 8‑hour shift per day, can finish the entire task in 8 days. Assuming every worker always works full 8‑hour daily shifts and maintains constant work rate, how many workers are needed to complete this same task within 6 days?

A18B20C22D24

MATH 1 · 22 questions