SAT math December 2025 predictions

Aug 25, 2026

Uploaded by Theodore

Practice-style SAT Math questions focused on algebra, geometry, trigonometry, functions, and linear or exponential relationships. The set includes solving equations and finding solution sums, simplifying equivalent expressions, factoring polynomials, working with angle measures from parallel lines, determining dimensions from surface area, evaluating trigonometric identities, and reading function definitions from point or slope information. It also features systems of equations, word-problem percent changes, and selecting expressions or equations that match given constraints.

LanguageEnglish

CategoryExam

FormatPDF

Pages12

Reading Time30 min

AccessFree to download

Question Set

Algebra and Equations

Geometry and Trigonometry

Functions and Models

Word Problems and Systems

SAT math December 2025 predictions Question-1 (􀝔 − 􀝇)2 = (􀝇 − 5􀜽)(􀝔 − 􀝇) In the given equation, a and k are constants, where k > 5a. The sum of the solutions to the equation is 3k + 37.What is the value of a? ~~ ~~ = 􀯫−136 , the value of 􀝔 − 6 is between which of the following pairs of values? A) −13 􀜽􀝊􀝀 − 8 B) −7 􀜽􀝊􀝀 − 3 C) −3 􀜽􀝊􀝀 3 D) 4 􀜽􀝊􀝀 7 Question-3 A line intersects two parallel lines, forming four acute anglesand four obtuse angles. The measure of one of the acute angle is (9􀝔 − 520)􀯢 . The sum of the measures of one of the acute angles and three of the obtuse angles is (−18􀝔 + 􀝓)􀯢 . What is the value ofw? Question-4 Two identical rectangular prisms each have a height of 40 centimeters (cm) . The base of each prism is a square, and the surface area of each prism is K (􀢉􀢓)􀫛 . If the prisms are glued together along a square base, the resulting prism has a surface area of 􀫡􀫝􀫠􀫠 􀢑 􀢉􀢓 􀫛 . What is the side length, in cm, of each square base? A) 4 B) 7 C) 14 D) 28 Question-5 Which of the following expressions has a factor of 􀝔 + 2􀜾 , where b is a positive integer constant? A) 2􀝔2 + 9􀝔 + 18􀜾 B) 2􀝔2 + 19􀝔 + 18􀜾 C) 2􀝔2 + 20􀝔 + 18􀜾 D) 2􀝔2 + 9􀝔 + 18􀜾 Question-6 The expression sin(25􀯢 ) cos (65􀯢 ) + sin(65􀯢 ) cos (25􀯢 ) is equal to which of the following expressions? A) cos (65􀯢 )2 + sin (25􀯢 )2 B) cos (65􀯢 )2 + cos (25􀯢 )2 C) 2 sin(25􀯢 ) cos (65􀯢 ) D) 2 sin(25􀯢 ) + 2cos (65􀯢 ) Question-7 The expression 30􀝖18 + 􀜾􀝖9 + 38 can be factored into (􀝌􀝖9 + 􀝍) where p and q are positive integers. What is the maximum value of b? Question-8 The following equation √􀝇 − 􀝔 = 56 − 􀝔 has one real solution. What is the minimum value of 4k? Question-9 In 2017, Aster earned 11% more than he did in 2016, and in 2018 Aster earned 3% more than he did in 2017. IfAster earned in 2016 y times as much in 2018, which of the following is closest to the value of y? Question-10 Question-11 The function h is defined by ℎ(􀝔) = 4 (6􀝔 − 10) .What is the value of ℎ(10)? Question-11 If 􀯫􀯬 = 56 and 􀯖8􀯫􀯬 = 56 , what is the value ofc? Question-12 For the linear function 􀝃 , the graph of 􀝕 = 􀝃 (􀝔) in the xyplane has a slope of 5 and passes through the point (1,19).Which equation defines 􀝃? A) 􀝃 (􀝔) = 5􀝔 B) 􀝃 (􀝔) = 5􀝔 + 5 C) 􀝃 (􀝔) = 5􀝔 + 14 D) 􀝃 (􀝔) = 19􀝔 Question-13 Which expression is equivalent to (8􀝔2 + 5􀝔 + 9) − (8􀝔2 + 3)? A) 6 B) 12 C) 5􀝔 + 6 D) 5􀝔 + 12 Question-14 􀝔 (􀝔 + 6) − 112 = 3􀝔(􀝔 − 8) What is the sum of the solutions to the given equation? A) 2 B) 8 C) 14 D) 15 Question-15 The relationship between the variables x and y is defined by an exponential equation. When 􀝔 = 0 , the value of y is 90, and for every increase in the value of x by 2, the corresponding value of y increases by 20% of its previous value. Which equation represents this relationship? A) 􀝕 = 90 (1 . 20)2 B) 􀝕 = 90 (1 . 02)􀯫 C) 􀝕 = 20 (1 . 90)􀯫 D) 􀝕 = 20 (1 . 09)􀯫 Question-16 Line 􀝐 in the xy-plane has a slope of − 13 and passes through the point (9,4) . Which equation defines line 􀝐? A) 􀝕 = 7􀝔 − 1 3 B) 􀝕 = 9􀝔 + 4 C) 􀝕 = − 􀯫 + 4 3 D) 􀝕 = − 􀯫 + 7 3 Question-17 (􀝔 − 16)(􀝔 − 12)(􀝔 + 7)(􀝔 + 13) = 0 What is a positive solution to the given equation? Question-18 Which expression is equivalent to 42x3 + 7x A) 7􀝔(6 + 7􀝔) B)7􀝔(6􀝔2 + 1) C)7􀝔2 (6 + 7􀝔) D) 7􀝔2 (6􀝔 + 1) Question-19 If 6x − 8 = 4, what is the value of 6x + 8 ? A) -4 B) 2 C) 10 D) 20 Question-20 A number 􀜎 is 120% greater than a positive number 􀜏 . A number h is 90% less than the number f. The number h is how many times the number g? A) 0.12 B) 0.22 C) 1.08 D) 1.98 Question-23 What is the radius of the circle in the xy-plane defined by (􀝔 + 2)2 + (􀝕 + 6)2 = 361? Question-22 3􀝔 + 2􀝕 = 10 18􀝔 + 12􀝕 = 60 How many solutions does the given equations have? A) Exactly one B) Exactly two C) Infinitely many D) Zero Question-23 Z 33 Y Note: F

FAQs

What topics are covered in the SAT Math questions in this document?

The document covers algebraic equations and expression equivalence, factoring, linear functions, exponential growth models, trigonometry identities, and geometry problems involving circles, prisms, and angle relationships.

How are answers typically requested in this question set?

Many questions ask for a specific value such as a variable’s value, the sum of solutions to an equation, the side length from surface area, or the value of a function at a given input. Several are multiple-choice.

Does the document include both equation-solving and interpretation of relationships (graphs/tables)?

Yes. It includes solving algebraic and radical equations and also interpreting relationships from definitions of lines (slope and point), exponential rules for y vs. x, and linear relationships from a table of x-y values.

Aug 25, 2026

Uploaded by Theodore