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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Subjects
:
sat
,
math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Average Rate
Characteristics of a Square
Union of Sets
Solving an Inequality
2. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Adding and Subtracting monomials
Using an Equation to Find the Slope
Rate
Tangency
3. Multiply the exponents
Adding and Subtraction Polynomials
Percent Formula
Raising Powers to Powers
Solving a System of Equations
4. To find the reciprocal of a fraction switch the numerator and the denominator
Parallel Lines and Transversals
Multiplying/Dividing Signed Numbers
Reciprocal
Length of an Arc
5. Use units to keep things straight (make sure you use 1 unit for each thing) Example: use just inches in your cross multiplication - not inches and feet
Rate
Volume of a Cylinder
Relative Primes
Percent Formula
6. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Direct and Inverse Variation
Average of Evenly Spaced Numbers
Determining Absolute Value
Adding/Subtracting Fractions
7. To solve a proportion - cross multiply
Solving a Quadratic Equation
Solving a Proportion
Multiplying Fractions
Average Formula -
8. To convert a mixed number to an improper fraction - multiply the whole number by the denominator - then add the numerator over the same denominator - to convert an improper fraction to a mixed number - divide the denominator into the numerator to get
Pythagorean Theorem
Remainders
Even/Odd
Mixed Numbers and Improper Fractions
9. pr^2
Characteristics of a Parallelogram
Even/Odd
Raising Powers to Powers
Area of a Circle
10. To add a positive and negative integer first ignore the signs and find the positive difference between the two integers - attatch the sign of the original with higher absolute value - to subtract negative integers simply change it into an addition pr
Adding/Subtracting Signed Numbers
Adding and Subtracting Roots
Rate
Solving a Proportion
11. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Parallel Lines and Transversals
Using an Equation to Find an Intercept
Reciprocal
Finding the Original Whole
12. An isosceles triangle has 2 equal sides and the angles opposite the equal sides (base angles) are also equal - an equaliteral is a triangle where all 3 sides are equal - thus the angles are equal - regardless of side length the angle is always 60 deg
Interior and Exterior Angles of a Triangle
Part-to-Part Ratios and Part-to-Whole Ratios
Reducing Fractions
Isosceles and Equilateral triangles
13. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Interior and Exterior Angles of a Triangle
Multiplying and Dividing Powers
Prime Factorization
Using an Equation to Find the Slope
14. 2pr
Adding/Subtracting Fractions
Circumference of a Circle
Median and Mode
Using an Equation to Find an Intercept
15. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
The 3-4-5 Triangle
Solving a Quadratic Equation
Intersection of sets
Length of an Arc
16. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Interior Angles of a Polygon
Reciprocal
Percent Formula
Average Formula -
17. For all right triangles: a^2+b^2=c^2
Pythagorean Theorem
Multiples of 2 and 4
Using Two Points to Find the Slope
Surface Area of a Rectangular Solid
18. Combine equations in such a way that one of the variables cancel out
Multiplying Fractions
Tangency
Adding and Subtracting monomials
Solving a System of Equations
19. To multiply or divide integers - firstly ignore the sign and compute the problem - given 2 negatives make a positive - 2 positives make a positive - and one negative - and one positive make a negative attach the correct sign
Average Formula -
Multiplying Fractions
Multiplying and Dividing Powers
Multiplying/Dividing Signed Numbers
20. If a right triangle's leg-to-leg ratio is 5:12 - or if the leg-to-hypotenuse ratio is 5:13 or 12:13 - it's a 5-12-13 triangle
Adding and Subtraction Polynomials
Intersecting Lines
The 5-12-13 Triangle
Rate
21. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Setting up a Ratio
Solving an Inequality
Characteristics of a Parallelogram
22. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Factor/Multiple
Volume of a Rectangular Solid
The 3-4-5 Triangle
Remainders
23. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Exponential Growth
Setting up a Ratio
Interior Angles of a Polygon
Multiplying Monomials
24. Factor out the perfect squares
Simplifying Square Roots
Combined Percent Increase and Decrease
Finding the Distance Between Two Points
Solving a Quadratic Equation
25. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Multiples of 2 and 4
Exponential Growth
Percent Formula
Similar Triangles
26. you can add/subtract when the part under the radical is the same
Evaluating an Expression
Multiples of 3 and 9
Adding and Subtracting Roots
Direct and Inverse Variation
27. An arc is a piece of the circumference. If n is the degree measure of the arc's central angle - then the formula is: Length of an Arc = 1 (n/360) (2pr)
Pythagorean Theorem
Length of an Arc
Remainders
Solving a Quadratic Equation
28. Area of Triangle = 1/2 (base)(height) - the height is the perpendicular distance between the side that's chosen as the base and the opposite vertex
Area of a Triangle
Number Categories
Dividing Fractions
(Least) Common Multiple
29. Volume of a Cylinder = pr^2h
Adding/Subtracting Fractions
Volume of a Cylinder
Tangency
Using the Average to Find the Sum
30. Integers that have no common factor other than 1 - to determine whether two integers are relative primes break them both down to their prime factorizations
Probability
Relative Primes
Using an Equation to Find an Intercept
Area of a Circle
31. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Evaluating an Expression
Prime Factorization
Intersecting Lines
Percent Formula
32. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Surface Area of a Rectangular Solid
Multiples of 3 and 9
Rate
Determining Absolute Value
33. To find the y-intercept: put the equation into slope-intercept form (b is the y-intercept): y=mx+b or plug x=0 and solve for y - To find the x-intercept: plug y=0 and solve for x
Adding/Subtracting Fractions
Using an Equation to Find an Intercept
Volume of a Cylinder
Using an Equation to Find the Slope
34. To solve an inequality do whatever is necessary to both sides to isolate the variable. When you multiply or divide both sides by a negative number you must reverse the sign
Average Rate
Similar Triangles
Solving an Inequality
Adding and Subtracting Roots
35. To divide fractions - invert the second one and multiply
Area of a Sector
Solving a Quadratic Equation
Comparing Fractions
Dividing Fractions
36. To increase: add decimal version of percent to one and times that # to the # you want to increase. Example: increase 40 by 25% Work: 1.25*40=? Answer: 50
Part-to-Part Ratios and Part-to-Whole Ratios
Number Categories
Percent Increase and Decrease
Area of a Circle
37. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Factor/Multiple
Finding the Missing Number
Characteristics of a Rectangle
Exponential Growth
38. A sector is a piece of the area of a circle. If n is the degree measure of the sector's central angle then the formula is: Area of a Sector = (n/360) (pr^2)
Function - Notation - and Evaulation
Average Rate
Multiplying/Dividing Signed Numbers
Area of a Sector
39. Combine like terms
Median and Mode
Adding and Subtraction Polynomials
Multiplying and Dividing Powers
Solving an Inequality
40. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Using the Average to Find the Sum
Adding and Subtracting monomials
Negative Exponent and Rational Exponent
Counting Consecutive Integers
41. Part = Percent x Whole
Prime Factorization
The 5-12-13 Triangle
Percent Formula
Multiples of 2 and 4
42. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Using an Equation to Find the Slope
Union of Sets
Exponential Growth
Determining Absolute Value
43. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Volume of a Cylinder
Reducing Fractions
Circumference of a Circle
Median and Mode
44. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Characteristics of a Parallelogram
Reducing Fractions
Percent Increase and Decrease
Using Two Points to Find the Slope
45. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Interior Angles of a Polygon
Using an Equation to Find the Slope
Multiples of 3 and 9
Area of a Triangle
46. The smallest multiple (other than zero) that two or more numbers have in common.
Adding and Subtracting monomials
Prime Factorization
Solving a Quadratic Equation
(Least) Common Multiple
47. If a right triangle's leg-to-leg ratio is 3:4 - or if the leg-to-hypotenuse ratio is 3:5 or 4:5 - it's a 3-4-5 triangle and you don't need to use the Pythagorean theorem to find the third side
Volume of a Rectangular Solid
Intersection of sets
The 3-4-5 Triangle
Using an Equation to Find an Intercept
48. (average of the x coordinates - average of the y coordinates)
Negative Exponent and Rational Exponent
Setting up a Ratio
Median and Mode
Finding the midpoint
49. A parallelogram has two pairs of parallel sides - opposite sides are equal - opposite angles are equal - consecutive angles add up to 180 degrees; Area of Parallelogram = base x height
Finding the Missing Number
Using the Average to Find the Sum
Intersecting Lines
Characteristics of a Parallelogram
50. A square is a rectangle with four equal sides; Area of Square = side*side
Multiplying/Dividing Signed Numbers
Characteristics of a Square
Solving a Quadratic Equation
Reducing Fractions