SAT Math 2026: The Ultimate 50-Page Master Guide | Practice Questions, Formula Cheat Sheets & Score-Boosting Hacks

Section 1: Heart of Algebra (Linear Equations & Systems)
1. If 3x+6=21, what is the value of x−2?

●​ A) 3
●​ B) 5
●​ C) 7
●​ D) 15

2. A line in the xy-plane passes through the origin and has a slope of 71​. Which of the
following points lies on the line?

●​ A) (0, 7)
●​ B) (1, 7)
●​ C) (7, 1)
●​ D) (14, 7)

3. Which of the following is an equation of a line that is parallel to the line with equation
y=−3x+5?

●​ A) y=31​x+5
●​ B) y=3x−2
●​ C) 6x+2y=10
●​ D) x−3y=9

4. If 2(a+b)=10 and a−b=2, what is the value of a?

●​ A) 3.5
●​ B) 4
●​ C) 5
●​ D) 7




Section 2: Passport to Advanced Math (Quadratics &
Nonlinear)
5. Which of the following is equivalent to the expression x2−16?

●​ A) (x−4)2
●​ B) (x+4)(x−4)
●​ C) (x+8)(x−8)
●​ D) x(x−16)

, 6. If g(x)=2x2−3x+1, what is the value of g(−2)?

●​ A) 3
●​ B) 7
●​ C) 15
●​ D) 19

7. For what value of k will the equation x2−6x+k=0 have exactly one distinct real
solution?

●​ A) 0
●​ B) 3
●​ C) 6
●​ D) 9

8. If xa⋅xb=x12 and 2a=b, what is the value of a?

●​ A) 2
●​ B) 3
●​ C) 4
●​ D) 6




Section 3: Problem Solving & Data Analysis
9. A bag contains 4 red marbles, 6 blue marbles, and 10 yellow marbles. If one marble is
picked at random, what is the probability it is NOT blue?

●​ A) 0.3
●​ B) 0.4
●​ C) 0.6
●​ D) 0.7

10. A technician charges a one-time service fee of $50 plus $30 per hour of work. If the
total bill was $170, how many hours did the technician work?

●​ A) 3
●​ B) 4
●​ C) 5
●​ D) 6

11. The number of bacteria in a culture doubles every 3 hours. If there are 100 bacteria
initially, how many will there be after 9 hours?