SAT Pastpaper with Solutions | Global Test Academy Practice Test

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

In triangle

shown, angle

is a right angle, the length of side

is 49, and

. Which expression represents the length of segment

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

What is the

-intercept of the graph of

in the

-plane, where

and

are positive constants?

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

The table shows four values of

and their corresponding values of

, and

. There is a linear relationship between

and

. Which of the following equations represents this relationship?

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

. The given equation relates the positive variables

, and

. Which equation correctly expresses

in terms of

and

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

An environmental scientist studies the decomposition of paper bags when the bags are placed in an environment with a certain type of bacteria. The exponential function

gives the estimated remaining mass, in grams, of the paper bags

days after they are placed in an environment with this bacteria. Which is the best interpretation of the point

on the graph?

AThe estimated remaining mass of the paper bags 1 day after they are placed in an environment with this bacteria is 469.20 grams less than it was the day before.BThe estimated remaining mass of the paper bags after they are placed in an environment with this bacteria is decreasing by 469.20 grams per day.CThe estimated remaining mass of the paper bags 1 day after they are placed in an environment with this bacteria is 469.20 grams.DThe estimated remaining mass of the paper bags 469.20 days after they are placed in an environment with this bacteria is 1 gram.

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

The population density of Town A is 120 people per square mile, and the population density of Town B is 90 people per square mile. Town A has a population of 20,640 people, and Town B has a population of 3,870 people. The area, in square miles, of Town A is

times the area, in square miles, of Town B. What is the value of

A4B8C16,770D24,510

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

For a function

and

. Which equation could define

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

. The given equation relates the variables

, and

. Which equation correctly expresses

in terms of

and

, where

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

Which system of linear equations has no solution?

and

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

. In the

-plane, the graph of the given equation contains the point

. If

, which of the following is NOT a possible value of

A18B5C0D-5

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

. The function

is defined by

. What is the minimum value of

A-17B-9C1D9

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

The function $f(n)=7{(20.52)}^{n/4}$ gives each term of a sequence as a function of the term’s position, , in the sequence, where is a whole number. The value of the term in position 14 is % more than the value of the term in position 10. What is the value of ?

A2,052B1,952C52D20.52

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

A circle has the equation

-6x+4y-12=0. What is the distance from the center of the circle to the line 3x-4y+5=0?

A3B4C4.4D6

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

Given a>0, b>0, and 2a+3b=12, what is the maximum value of ab?

A6B8C10D12

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

A survey found that students’ daily reading time has a mean of 28 minutes and standard deviation of 6 minutes. Assuming a normal distribution, approximately 95% of students have a daily reading time between

A16–40 minutesB22–34 minutesC28–40 minutesD10–46 minutes

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown.

For how many of the data points does the line of best fit predict a greater y-value than the actual y-value?

Type your answer

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

Object Z has a mass of 180 grams. The mass of object X is 3,800% of the mass of object Z. The mass of object Z is 25% of the mass of object Y. The sum, in grams, of the mass of object X and the mass of object Y is equal to the product, in grams, of w and the mass of object Z, where w is a constant. What is the value of w?

Type your answer

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

In the xy-plane, a line with equation 5y=c for some constant c intersects a parabola at exactly one point. If the parabola has equation y=-4x²+6x, what is the value of c?

Type your answer

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

A biologist mixed a solution that is 0.30% sodium chloride by mass with a solution that is 0.25% sodium chloride by mass to obtain a new solution, which has a mass of 90.00 grams and contains 0.24 grams of sodium chloride. How many grams of sodium chloride are contained in the 0.30% sodium chloride solution the biologist used?

Type your answer

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

The function f is defined by f(x)=5^(x-2)+6. What is the value of f(2)?

Type your answer

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

Maya is enlarging the area of a photograph that measures 7 centimeters by 5 centimeters. The resulting area, in square centimeters, of the photograph is given by the function S(x)=(7x)(5x), where x represents the scale factor used to increase both the length and width of the photograph. Which statement is the best interpretation of S(3)=315?

When the scale factor used to enlarge the photograph is 3, the resulting area is 7 square centimeters.

When the scale factor used to enlarge the photograph is 15, the resulting area is 35 square centimeters.

When the scale factor used to enlarge the photograph is 3, the resulting area is 315 square centimeters.

When the scale factor used to enlarge the photograph is 315, the resulting area is 3 square centimeters.

Tools:

Chapter 3 · 2026.9 : A-B(analysis included) · MATH 2

To cut a lawn, Jamal charges a fee of $18.00 for his equipment and $8.75 per hour spent cutting a lawn. Sofia charges a fee of $10.00 for her equipment and $10.75 per hour spent cutting a lawn. If x represents the number of hours spent cutting a lawn, what are all the values of x for which Sofia's total charge is greater than Jamal's total charge?

$x<3$

$4\leq x\leq 5$

$x>4$

$3\leq x\leq 4$

MATH 2 · 22 questions