SAT Pastpaper with Solutions | Global Test Academy Practice Test

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

Line

in the

-plane has a slope of

and passes through the point

Which equation defines line

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

The measure of angle

radians. If the measure of angle

degrees, where

is a constant, what is the value of

A3B5C12D15

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

A zoologist observed the nests of wood ducks in an area. Each year, the zoologist recorded the number of eggs in each of the first 40 nests that were observed and created a frequency table for the data set. Which of the following frequency tables represents the data set with the smallest standard deviation?

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

An artist made 14 pleces of pottery using 64 pounds of clay. The pottery included only bowls and vases. Each bowl used 3 pounds of clay and each vase used 5 pounds of clay. How many vases did the artist make?

A3B6C8D11

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

The function models the resistivity of copper, in nanoohm meters, as a function of the temperature , in kelvins, of the copper. The graph of is shown.

The line slants gradually up from left to right.

The line passes through the following points:

(100 comma StartFraction 96 Over 25 EndFraction)

(200 comma StartFraction 246 Over 25 EndFraction)

( 400 comma StartFraction 546 Over 25 EndFraction)

According to the model, which of the following statements about the estimated resistivity of copper is true?

AAt 100 kelvins, it is 10 nanoohm·meters.BFrom 200 kelvins to 400 kelvins, it decreases 12 nanoohm·meters.CIt increases at a rate of

nanoohm·meters per 100 kelvins.DIt increases at a rate of 6 nanoohm·meters per 100 kelvins.

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

The function

is defined by

. Which of the following is equivalent to

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

The expression

is equivalent to

, where

and

are constants. What is the value of

A-16B

C4D7

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

The function

is defined by

, where

and

are integer constants. In the

-plane, the graph of

passes through the point

, and

. What is the value of

A-8B9C17D25

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

The function

is defined by

. For any positive integer

, the value of

less than the value of

. What is the value of

A74B59C41D26

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

Each 3.0-ounce serving of cheddar cheese and each 1.2-ounce serving of tuna provides about 1 microgram of vitamin B12. If a total of 3.0 micrograms of vitamin B12 are consumed from eating

ounces of cheese and

ounces of tuna, which equation best represents this situation?

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

Moving from left to right:

The curve passes from quadrant 2 to quadrant 1.

In quadrant 2, the curve trends gradually up to point ( 0 comma 3).

In quadrant 1, the curve trends up sharply.

As x decreases, the curve approaches the line y equals 2 .

The curve passes through the following points:

(0 comma 3)

(1 comma 6)

What is an equation of the graph shown?

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

A company developed a plan to set the selling price of a product. The company determined that for a selling price of

, zero products would be sold. For each

decrease in the selling price, the number of products sold would increase by one. For a revenue of exactly

, which of the following could be the number of products sold? (

)

A27B80C831D1,350

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

How many solutions are there to the given system of equations?

AThere is exactly 1 solution.BThere are exactly 2 solutions.CThere are exactly 3 solutions.DThere are no solutions.

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

The boundary of the inequality is a dashed line.

The line slants sharply down from left to right.

The line passes through the following points:

(0 comma 4)

(2 comma 0)

The area above and to the right of the boundary is shaded.

The shaded region shown represents the solutions to which inequality?

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

In the figure, line is parallel to line , and line intersects line at point . If and , what is the value of ?

A52B67C128D142

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

The given equation relates the resistances,

and

, in ohms, of two resistors arranged in parallel in a circuit with a total resistance of 16 ohms, where

and

are positive. Which equation correctly expresses

in terms of

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

If $x\geq -6$ represents all solutions to the inequality $ax-16\leq 14$ , where $a$ is a constant, what is the greatest possible value of $a$ ?

Type your answer

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

For the right circular cone shown, CP is a radius of the base and V is the vertex. The cone's lateral surface area, in square meters, is rLπ, where r is the length, in meters, of CP and L is the length, in meters, of VP. The cone has a base area of 81π square meters and a lateral surface area of 214π square meters. What is the height of the cone, to the nearest meter?

Type your answer

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

$-7{x}^{2}+bx-63=0$

In the given equation, b is a positive integer. The equation has no real solution. What is the largest possible value of b ?

Type your answer

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

A researcher investigated two species of mites: a predator and its prey. At the start of a week, there was an equal number of the two species. At the end of the week, the number of prey had-increased by 2900% of the number of prey at the start of the week, and the number of predators had increased by 320% of the number of predators at the start of the week. The number of predators at the end of the week was p% less than the number of prey at the end of the week. What is the value of p?

Type your answer

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

The table shows three values of x and their corresponding values of y. There is a quadratic relationship between x and y. An equation that represents this relationship can be written as y=18x²-bx-48, where b is a constant. What is the value of b?

Type your answer

Tools:

Chapter 15 · 2026.5 : A-A(analysis included) · MATH 2

The area of a rectangular region is increasing at a rate of 130 square feet per hour. Which of the following is closest to this rate in square meters per minute? (Use 1 meter 3.28 feet.)

0.20

0.66

7.11

12.08

MATH 2 · 22 questions