SAT Pastpaper with Solutions | Global Test Academy Practice Test

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

Which expression is equivalent to (3x³-8x+5)-(4x⁶+9x-2)?

-4x⁶+3x³-17x+7

-x⁹-17x-7

-x⁹-x+3

-4x⁶+3x³+x+3

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

What is the slope of the graph of y=

x in the xy-plane?

A0B

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

$y<x,y>-4x-9$

For which of the following tables are all the values of x and their corresponding values of y solutions to the given system of inequalities?

x	Y
5	4
6	5
7	6

x	Y
-12	-5
-11	-6
-10	-7

x	Y
-12	-13
-11	-12
-10	-11

x	Y
5	10
6	9
7	8

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

f(x)=5(g(x))−3, g(x)=∣13x−9∣

The functions f and g are defined by the given equations. What is the value of f(−10)?

A692B139C698D-53

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

What are all possible solutions to the given equation?

and 12C12D

and -12

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

Line k is defined by 4x+13y−5=0. Line j is perpendicular to line k in the xy-plane. What is the slope of line j?

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

In the xy-plane, an equation of circle A is (x−2)²+(y−4)²=9. Circle B has the same center as circle A but has a radius that is twice the radius of circle A. Which equation represents circle B?

(x−2)²+(y−4)²=81

(x−2)²+(y−4)²=36

(x−2)²+(y−4)²=18

(x−2)²+(y−4)²=54

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

The length of the diagonal of a square is units. What is the area, in square units, of the square?

A8649B17298C93D372

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

Each of the following frequency tables represents a data set. Which data set has the greatest mean?

Value	Frequency
60	3
70	3
80	3
90	3

Value	Frequency
60	4
70	3
80	3
90	4

Value	Frequency
60	1
70	2
80	3
90	4

Value	Frequency
60	5
70	2
80	2
90	5

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

A partially filled container containing 26 milliliters of water is placed under a leaky faucet that produces one 0.03-milliliter drop of water every 3 seconds. Until the container is full, which of the following can be used to represent the volume v, in milliliters, of water in the container t seconds after it is placed under the faucet, where t is a multiple of 3?

Av=0.01t+26Bv=0.09t+26Cv=3tDv=0.03t+26

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

At the beginning of an experiment, the temperature of a liquid is 23 degrees Celsius (℃). During the first 4.0 minutes of the experiment, the temperature of the liquid increases at an average rate of 6.5℃ per minute. Then, the temperature of the liquid increases at a constant rate of 2.2℃ per minute. If the temperature of the liquid reaches 61℃x minutes after the beginning of the experiment, where x>4.0, which equation represents this situation?

A61=2.2x+49B61=2.2(x−4.0)+49C61=2.2(x−4.0)+26D61=2.2x+23

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

A science club from a certain high school in Ohio conducted an experiment to study the effects of smell on taste. A sample of 100 students was selected at random from the high school to participate in the experiment. First, the students tasted a pureed food sample while wearing covered goggles and nose plugs. Then, the students tasted the same pureed food sample without nose plugs. 35 students were able to correctly identify the pureed food sample while wearing nose plugs. Which of the following is the largest population to which the results of the experiment can be generalized?

AAll students from the high schoolBThe 100 students who participated in the experimentCThe 35 students who were able to correctly identify the pureed food sample while wearing nose plugsDAll students from high schools in Ohio

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

The function f is defined by f(x)=11x ³. The graph of y=f(−x)+c in the xy-plane, where c is a positive integer constant, has an x-intercept at (r,0) and a y-intercept at (0,t), where r and t are constants. Which of the following must be true about r and t?

Ar<0 and t<0Br<0 and t>0Cr>0 and t>0Dr>0 and t<0

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

A certain investment account offers a special interest rate for the first 6 months the account is open followed by a lower interest rate for the remainder of the time the account is open. Bennett opened one of these accounts with an original account balance of $600 and did not make any other deposits or withdrawals. 6 months after Bennett opened the account, the balance had increased by 0.4% of the original balance. 8 months after Bennett opened the account, the balance had increased by an additional 0.3% of the balance at the end of the first 6 months. Every 2 months after the first 8 months, the balance had increased by an additional 0.3% of the balance 2 months before. Which of the following equations could represent the account balance B(x), in dollars, x months after the account was opened, where x≥6?

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

In the xy-plane, the graph of the equation y=−x ²+7x−104 intersects the line y=c at exactly one point. What is the value of c?

C-104D

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

, the value of x+5 is between which of the following pairs of values?

A7 and 13B4 and 6C−4 and 4D−6 and −3

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

The area of a rectangular region is increasing at a rate of 210 square feet per hour. Which of the following is closest to this rate in square meters per minute? (Use 1 meter = 3.28 feet.)

0.33

1.07

11.48

19.52

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

34x+79y=260

The given equation represents the volume of mulch x, in cubic feet, and the volume of soil y, in cubic feet, in a mixture of mulch and soil that weighs 260 pounds. If the volume of soil in the mixture is 2 cubic feet, what is the volume of mulch in the mixture, in cubic feet?

Type your answer

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

The population of a certain city doubled every 75 years from 1657 to 1957. The population of this city was 240,000 in 1957. What was the population of this city in 1657?

Type your answer

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

For the positive quantities h, j, and k, 13% of h is equivalent to 19% of j, and j is equivalent to 91% of k. What percentage of k is h? (Disregard the % sign when entering your answer. For example, if your answer is 39%, enter 39)

Type your answer

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

$\frac {1} {24}{x}^{2}+(s-\frac {1} {24})x-st=0$

In the given equation, s and t are positive constants. The product of the solutions to the given equation is −2kst, where k is a constant. What is the value of k?

Type your answer

Tools:

Chapter 35 · 2025.9 : B-A (analysis included) · MATH 2

In triangle RST, angle T is a right angle, point L lies on RS, point K lies on ST, and LK is parallel to RT. If the length of RT is 72 units, the length of LK is 24 units, and the area of triangle RST is 396 square units, what is the length of KT, in units?

Type your answer