SAT Math & Geometry Exam Practice
Sheet
Q1. direct variation
ANSWER: (y1/x1) = (y2/x2); y = kx
Q2. indirect variation
ANSWER: (x1/x2) = (y1/y2); y = k/x
Q3. What equation to look for during distance questions
ANSWER: distance = rate*time
Q4. What equation to look for during work questions
ANSWER: work done = rate of work*time
Q5. (x+y)^2
ANSWER: x^2 + 2xy + y^2
Q6. The quadratic formula
ANSWER:
Q7. How do you know when an equation has two real roots?
ANSWER: when b^2 -4ac > 0
Q8. How do you know when an equation has one real root and it is a perfect square?
ANSWER: b^2 - 4ac = 0
Q9. How do you know when there are no real roots but both roots are imaginary?
ANSWER: b^2 - 4ac < 0
Q10. How do you find the percent change?
, ANSWER: %change= [(amount change)/(original)] *100%
Q11. How do you find the final amount of increase?
ANSWER: Final amount= Original * (1 + Rate)^(number of changes)
Q12. How do you find the final amount of decrease?
ANSWER: Original * (1-Rate)^(number of changes)
Q13. complementary angles
ANSWER: angles whose sum is 90
Q14. supplementary angles
ANSWER: angles whose sum is 180
Q15. inscribed
ANSWER: A shape placed inside another shape with tightest possible
fit
Q16. Circumscribed
ANSWER: A shape drawn around another with tightest possible fit
Q17. Central Angle (of a circle)
ANSWER: [(central angle)/(360)] = [(arc
length)/(circumference)]=[(sector area)/(total area)]
Q18. Inscribed angle of a circle
ANSWER: Angle <APB stays constant. If AB is a diameter, then <APB
= 90°.
Q19. tangent line to a circle
ANSWER: A line that intersects the circle at exactly one point;
perpendicular to radius at point of tangency
Q20. Sum of angles in a polygon
Sheet
Q1. direct variation
ANSWER: (y1/x1) = (y2/x2); y = kx
Q2. indirect variation
ANSWER: (x1/x2) = (y1/y2); y = k/x
Q3. What equation to look for during distance questions
ANSWER: distance = rate*time
Q4. What equation to look for during work questions
ANSWER: work done = rate of work*time
Q5. (x+y)^2
ANSWER: x^2 + 2xy + y^2
Q6. The quadratic formula
ANSWER:
Q7. How do you know when an equation has two real roots?
ANSWER: when b^2 -4ac > 0
Q8. How do you know when an equation has one real root and it is a perfect square?
ANSWER: b^2 - 4ac = 0
Q9. How do you know when there are no real roots but both roots are imaginary?
ANSWER: b^2 - 4ac < 0
Q10. How do you find the percent change?
, ANSWER: %change= [(amount change)/(original)] *100%
Q11. How do you find the final amount of increase?
ANSWER: Final amount= Original * (1 + Rate)^(number of changes)
Q12. How do you find the final amount of decrease?
ANSWER: Original * (1-Rate)^(number of changes)
Q13. complementary angles
ANSWER: angles whose sum is 90
Q14. supplementary angles
ANSWER: angles whose sum is 180
Q15. inscribed
ANSWER: A shape placed inside another shape with tightest possible
fit
Q16. Circumscribed
ANSWER: A shape drawn around another with tightest possible fit
Q17. Central Angle (of a circle)
ANSWER: [(central angle)/(360)] = [(arc
length)/(circumference)]=[(sector area)/(total area)]
Q18. Inscribed angle of a circle
ANSWER: Angle <APB stays constant. If AB is a diameter, then <APB
= 90°.
Q19. tangent line to a circle
ANSWER: A line that intersects the circle at exactly one point;
perpendicular to radius at point of tangency
Q20. Sum of angles in a polygon
