Training Set 4 - SAT Math Test Mastery Module 2 - Practice Questions

Aug 25, 2026

Uploaded by Skyler

A SAT Math Test Mastery Module 2 training set containing multiple-choice and free-response algebra, geometry, and function problems. Questions cover polynomial and function relationships, remainders and roots, similar figures and volume/surface area reasoning, factoring and quadratic evaluation, linear tangent and intercept calculations, angle relationships, statistics with margin of error, and word problems that translate into formulas. Designed for problem-solving practice with detailed computations and answer choices.

LanguageEnglish

CategoryExam

FormatPDF

Pages8

Reading Time20 min

AccessFree to download

Practice Questions

Algebra and Functions

Geometry and Measurement

Statistics and Modeling

SAT Math Test.Mastery module 2 Mr. Yokubjon Isaqjonov Training set 4 1. The functions f and g are given: f (x) = 3x3 + rx2 − 12x + 6 g (x) = −3x2 + 18x + c where r and c are constants. When f (x) is divided by x − 2, the remainder is-14. If g (r) = −110, what is the value of r − c? 2. The solutions to x2 +x−3 = 0 are p and q, where p < q. The solutions to x2 +7x+9 = 0 are m and n, where m < n. The solutions to x2 + 8x + c = 0 are (p + m) and (q + n), where c is a constant. What is the value of c? 3. Let f (x) = x3 − 6x2 + 11x − 6. Given f (a) = 0, f (b) = 0, and f (c) = 0, where a, b, and c are the roots of the equation. Find the value of: (a + b + c)2 − (ab + bc + ac) 1 Mr.Yokubjon Isaqjonov My telegram channel: @sat 800 4. The table gives the volumes of two similar square pyramids: | | Volume (cubic inches) | | --- | --- | | Square pyramid A
Square pyramid B | 16
5488 | If the height of Square pyramid A is 8 inches, what is the perimeter of the square base of Square pyramid B, in inches? (Round your answer to the nearest tenth of an inch) . 5. The quadratic function h (x) = ax2 + bx + c passes through the points (0 , 2), (2 , 6), and (4 , 2) . What is the value of 2a − 3b + 5c? 6. The function f (t) = a(2)~~2t~~11 models the amount of money in an investment account t years after the account is opened, where a is a constant. How many months will it take for the initial investment to increase by 700%? 7. The figure shown is a right rectangular pyramid, where t = 18 units, w = 9 units, and h = 12 units. What is the surface area, in square units, of the pyramid? 8. The expression 6x4 + 29x2 + 28 has one factor of the form ax2 + b. What is a possible value of ab? A) 7 B) 8 C) 12 D) 21 9. A circle in the xy-plane has the equation: (x − 2)2 + (y − 2)2 = 25 Line m is tangent to this circle at the point (5 , 6) . What is the y-coordinate of they-intercept of line m? | Mr.Yokubjon Isaqjonov My telegram channel: @sat 800
10. Two lines intersect at exactly one point, forming two acute angles and two obtuse angles. The measure of one of these angles is (9x − 140)◦ . Which of the following could NOT be the sum of the measures of any two of these angles?
A) (−18x + 280)◦
B) (−18x + 640)◦
C) (18x − 280)◦
D) 180◦ | | | --- | --- | | 11. | Texting behavior Talks on cell phone daily Does not talk on cell phone daily Total Light 110 146 256 Medium 139 164 303 Heavy 166 74 240 Total 415 384 799 | |
In a study of cell phone use, 799 randomly selected US teens were asked how often they talked on a cell phone and about their texting behavior. The data are summarized in the table above. Based on the data from the study, an estimate of the percent of US teens who are heavy texters is 30% and the associated margin of error is 3% . Which of the following is a correct statement based on the given margin of error?
A) Approximately 3% of the teens in the study who are classified as heavy texters are not really heavy texters.
B) It is not possible that the percent of all US teens who are heavy texters is less than 27% .
C) The percent of all US teens who are heavy texters is 33% .
D) It is doubtful that the percent of all US teens who are heavy texters is 35% .
12. The function f is defined by f (x) = (x − a)(x − b), where a and b are integers. Iff(12) > 0, f(17) < 0, and f(62) > 0, what is a possible value of a + b?
A) 31
B) 29
C) 28
D) 80
13. The equation relates the positive variables p, q, r, and s:
49 49 49 49
= − −
p q r s
Which of the following is equivalent to q?
A) p + q + s
B) 49(p + r + s)
C) prrss+rs
D) 49p+prs49r+49s | | Mr.Yokubjon Isaqjonov My telegram channel: @sat 800 14. In triangle XYZ, angle Y is a right angle, the measure of angle Z is 39◦ , and the length of YZ is 22 units. If the area, in square units, of triangle XYZ can be represented by the expression k tan39◦ , where k is a constant, what i

FAQs

What kinds of math topics are included in this Training Set 4?

It includes algebra and function problems (polynomials, quadratics, remainders, factoring) plus geometry/measurement (pyramids, prisms, surface area) and at least one statistics/margin-of-error problem.

How should you approach questions that give function values like f(a)=0 and f(b)=0?

Treat the given numbers as roots of the defining polynomial, then use the relationships among roots to compute the requested expression.

Does the set include word problems that require building a function?

Yes. One problem describes museum pricing for a group size and asks for a function f(n) when n ≥ 25.

Aug 25, 2026

Uploaded by Skyler