Free SAT Math Guides: Worked Answers & Video Walkthroughs

Every guide answers one SAT Math question: the answer first, the step-by-step solution, the mistake most students make, and a 20-second video walkthrough. Algebra, Advanced Math, Problem Solving and Data, and Geometry and Trigonometry.

• If 4x - 10 = 26, what is the value of 2x - 5?Algebra · Answer: 13
• If x^2 = 81 and x > 0, what is the value of x?Advanced Math · Answer: 9
• If 3x + 5 = 20, what is the value of x?Algebra · Answer: B) 5
• The function f is defined by f(x) = x^2 - 6x + 9. What is the value of f(4)?Advanced Math · Answer: 1
• If 2^{x+3} = 64, what is the value of x?Advanced Math · Answer: 3
• For what value of k does the system below have infinitely many solutions? 5x - 2y = 12 kx - 6y = 36Algebra · Answer: C) 15
• The equation x^2 + 6x + k = 0 has exactly one real solution. What is the value of k?Advanced Math · Answer: C) 9
• If 2^{2x - 1} = 32, what is the value of x?Advanced Math · Answer: 3
• For what value of k do the equations 6x - 3y = 12 and kx - 6y = 18 have no solution?Algebra · Answer: D) 12
• How many distinct real solutions does |x - 5| = 2x - 4 have?Algebra · Answer: B) Exactly one
• For what value of k do the equations 3x + ky = 15 and 9x + 6y = 30 have no solution?Algebra · Answer: B) 2
• The equation x^2 + 10x + c = 0 has exactly one real solution. What is the value of c?Advanced Math · Answer: 25