SAT Pastpaper with Solutions | Global Test Academy Practice Test

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

An environmental scientist needs to collect at least 32 samples of red clay soil for analysis. If r represents the number of samples the scientist collects for analysis, which inequality represents this situation?

32Br

32Cr-32

32Dr-32

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

Line k is defined by y=8x+1. Line j is parallel to line k in the xy-plane and passes through the point (0,2) . Which equation defines line j ?

Ay=8 x+2By=-2 x+2Cy=-8 x+2Dy=2 x+2

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

What is the center of the circle in the xy-plane defined by the equation (x-5) ²+(y+7) ²=25?

A(-5,-7)B(-5,7)C(5,-7)D(5,7)

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

How many solutions does the equation 15 x=8 x+7 x have?

AZeroBExactly oneCExactly twoDInfinitely many

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

f(x)=5,000(0.70 )^x

A conservation scientist implemented a program to reduce a certain invasive insect population in an area. The given function estimates this insect species' population x years after 2008 , where x 8. Which of the following is the best interpretation of 5,000 in this context?

AThe estimated initial insect population for this species and area in 2008BThe estimated insect population for this species and area 8 years after 2008CThe estimated percent decrease in the insect population for this species and area each year after 2008DThe estimated percent decrease in the insect population for this species and area every 8 years after 2008

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

For x=0, y has a value of 150 . The value of y increases by 90 % for every increase of 1 in the value of x. Which equation represents this situation?

y=150 x ^1.90

y=150 x⁹⁰

y=150(1.90)^x

y=150(90)^x

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

What is 10% of 310 ?

A21B31C279D300

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

f(x)=5 x+900

The function shown gives the total cost f(x), in dollars, for making x units of a certain product. What is the total cost, in dollars, for making 100 units of this product?

A100B500C900D1,400

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

k²-18=46

What is the positive solution to the given equation?

A8B28C32D64

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

Harper deposited a fixed amount into her bank account each month. The function f(t)=400+35t gives the amount, in dollars, in Harper's bank account after t monthly deposits. What is the best interpretation of 35 in this context?

AWith each monthly deposit, the amount in Harper's bank account increased by $35.BBefore Harper made any monthly deposits, the amount in her bank account was $35.CAfter 1 monthly deposit, the amount in Harper's bank account was $35.DHarper made a total of 35 monthly deposits.

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Chapter 31 · 2025.10 : A-B (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=10 xBy=x+10Cy=x+75Dy=10x+65

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

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

A121B90C31D180

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

The measure of angle Z is 45

. What is the measure, in radians, of angle Z ?

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

A certain truck can tow a trailer if the combined weight of the trailer and the packages it contains is no more than 5,000 pounds. What is the maximum number of packages this truck can tow in a trailer with a weight of 500 pounds if each package weighs 120 pounds?

A37B38C41D42

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

The graph of the polynomial function f is shown, where y=f(x). What is the value of f(2) ?

A2B0C5D-3

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

If a=3k+4r and b=8k-12r+5, which expression is equivalent to a-b?

A-5k+16r+5B-5k+16r-5C-5k-8r-5D-5k-8r+5

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

A scale model of a building is created where 1 inch represents 330 feet. The actual height of the building is n feet. Which expression represents the height, in inches, of the scale model?

An/330B330nCn+330D330-n

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

The y-intercept of the graph of y=8x²+65 is (0 , y). What is the value of y?

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

A number z is at least 10 more than 7 times the value of w. If the value of w is 15, what is the least possible value of z?

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

The list gives the speeds, in miles per hour, of 7 serves made by a professional tennis player.

107,109,109,111,151,154,155

What is the mean speed, in miles per hour, of these 7 serves?

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

A right circular cylinder has a height of 11 inches and a volume of 2,156π cubic inches. What is the radius, in inches, of this cylinder?

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Chapter 31 · 2025.10 : A-B (analysis included) · MATH 1

2x + y = 18

x + 2y = 21

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

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MATH 1 · 22 questions