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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Study First
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. This is the key to solving most fraction and percent word problems. Part is usually associated with the word is/are and whole is associated with the word of. Example: 'half of the boys are blonds' whole: all of the boys part: blonds
Average of Evenly Spaced Numbers
Intersection of sets
Identifying the Parts and the Whole
Interior and Exterior Angles of a Triangle
2. Factor out the perfect squares
Average Rate
Simplifying Square Roots
Volume of a Rectangular Solid
Function - Notation - and Evaulation
3. 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
The 5-12-13 Triangle
Isosceles and Equilateral triangles
Average Formula -
Relative Primes
4. 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
Using an Equation to Find an Intercept
Identifying the Parts and the Whole
Adding/Subtracting Signed Numbers
Union of Sets
5. 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
Mixed Numbers and Improper Fractions
Volume of a Cylinder
Using an Equation to Find an Intercept
Intersection of sets
6. The smallest multiple (other than zero) that two or more numbers have in common.
Pythagorean Theorem
(Least) Common Multiple
Finding the Original Whole
Multiplying and Dividing Powers
7. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Solving a Proportion
Factor/Multiple
Circumference of a Circle
Multiplying and Dividing Powers
8. 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
Characteristics of a Square
Solving a Proportion
Solving an Inequality
Adding/Subtracting Fractions
9. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Parallel Lines and Transversals
Adding and Subtracting monomials
Similar Triangles
Multiplying/Dividing Signed Numbers
10. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Probability
Multiples of 3 and 9
Percent Formula
Solving a Proportion
11. 1. Re-express them with common denominators 2. Convert them to decimals
Simplifying Square Roots
Dividing Fractions
Comparing Fractions
Finding the Missing Number
12. Multiply the exponents
Raising Powers to Powers
Domain and Range of a Function
Area of a Triangle
Adding/Subtracting Fractions
13. Probability= Favorable Outcomes/Total Possible Outcomes
Pythagorean Theorem
Adding/Subtracting Signed Numbers
Probability
Area of a Sector
14. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Counting the Possibilities
Adding/Subtracting Fractions
Circumference of a Circle
Surface Area of a Rectangular Solid
15. For all right triangles: a^2+b^2=c^2
Pythagorean Theorem
Direct and Inverse Variation
Length of an Arc
Finding the Distance Between Two Points
16. Start with 100 as a starting value - Example: A price rises by 10% one year and by 20% the next. What's the combined percent increase? - Say the original price is $100. Year one: $100 + (10% of 100) = 100 + 10 = 110 Year two: 110 + (20% of 110) = 110
Function - Notation - and Evaulation
Combined Percent Increase and Decrease
Multiplying and Dividing Powers
Percent Increase and Decrease
17. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Raising Powers to Powers
Using Two Points to Find the Slope
Repeating Decimal
Reducing Fractions
18. 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)
Area of a Sector
Using an Equation to Find the Slope
Similar Triangles
Percent Formula
19. Surface Area = 2lw + 2wh + 2lh
Surface Area of a Rectangular Solid
Isosceles and Equilateral triangles
The 3-4-5 Triangle
Relative Primes
20. (average of the x coordinates - average of the y coordinates)
Adding/Subtracting Fractions
Finding the midpoint
Rate
Using Two Points to Find the Slope
21. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average of Evenly Spaced Numbers
Tangency
Simplifying Square Roots
Average Formula -
22. Integers are whole numbers; they include negtavie whole numbers and zero - Rational numbers can be expressed as a ratio of two integers - irration numbers are real numbers that cant be expressed precisely as a fraction or decimal.
Multiplying and Dividing Roots
Number Categories
Characteristics of a Parallelogram
Pythagorean Theorem
23. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Parallel Lines and Transversals
Characteristics of a Parallelogram
Adding and Subtracting Roots
Area of a Triangle
24. To solve a proportion - cross multiply
Counting Consecutive Integers
Solving a Proportion
Repeating Decimal
Probability
25. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Simplifying Square Roots
Adding/Subtracting Fractions
Adding and Subtracting Roots
Median and Mode
26. 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
Relative Primes
Area of a Triangle
Intersecting Lines
Average of Evenly Spaced Numbers
27. The whole # left over after division
Interior and Exterior Angles of a Triangle
Greatest Common Factor
Median and Mode
Remainders
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
Reciprocal
Direct and Inverse Variation
Area of a Triangle
Reducing Fractions
29. 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
Area of a Circle
The 3-4-5 Triangle
Repeating Decimal
Rate
30. To divide fractions - invert the second one and multiply
Dividing Fractions
Length of an Arc
Average of Evenly Spaced Numbers
Isosceles and Equilateral triangles
31. 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
Multiplying/Dividing Signed Numbers
Factor/Multiple
Using an Equation to Find the Slope
The 3-4-5 Triangle
32. The length of one side of a triangle must be greater than the difference and less than the sum of the lengths of the other two sides
Adding and Subtraction Polynomials
Triangle Inequality Theorem
Solving a Proportion
Characteristics of a Parallelogram
33. If there are m ways one event can happen and n ways a second event can happen - then there are m × n ways for the 2 events to happen
Prime Factorization
Counting the Possibilities
Interior and Exterior Angles of a Triangle
Percent Increase and Decrease
34. Example: If the ratio of males to females is 1 to 2 - then what is the ratio of males to people? - work: 1/(1+2) answer: 1/3
Part-to-Part Ratios and Part-to-Whole Ratios
Isosceles and Equilateral triangles
PEMDAS
Finding the midpoint
35. The largest factor that two or more numbers have in common.
Multiplying Fractions
Finding the Distance Between Two Points
Interior Angles of a Polygon
Greatest Common Factor
36. The 3 angles of any triangle add up to 180 degrees - an exterior angles of a triangle is equal to the sum of the remote interior angles - the 3 exterior angles add up to 360 degrees
Interior and Exterior Angles of a Triangle
Average Rate
Area of a Sector
Percent Formula
37. To multiply fractions - multiply the numerators and multiply the denominators
Union of Sets
Multiplying Fractions
Finding the midpoint
Solving an Inequality
38. Subtract the smallest from the largest and add 1
Characteristics of a Rectangle
Counting Consecutive Integers
Percent Increase and Decrease
Number Categories
39. 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
Length of an Arc
Average Rate
Intersecting Lines
Characteristics of a Parallelogram
40. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Surface Area of a Rectangular Solid
Interior and Exterior Angles of a Triangle
Using Two Points to Find the Slope
Multiples of 2 and 4
41. A decimal with a sequence of digits that repeats itself indefinitely; to find a particular digit in the repetition - use the example: if there are 3 digits that repeat - every 3rd digit is the same. If you want the 31st digit - then the 30th digit is
Union of Sets
Area of a Circle
Repeating Decimal
Solving an Inequality
42. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Characteristics of a Rectangle
Circumference of a Circle
Multiplying Fractions
Multiplying Monomials
43. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Prime Factorization
Finding the Missing Number
Average of Evenly Spaced Numbers
Triangle Inequality Theorem
44. Change in y/ change in x rise/run
Number Categories
Median and Mode
Using Two Points to Find the Slope
Probability
45. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Using Two Points to Find the Slope
Volume of a Rectangular Solid
Multiplying and Dividing Roots
Parallel Lines and Transversals
46. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Pythagorean Theorem
Using an Equation to Find the Slope
Multiples of 2 and 4
Using Two Points to Find the Slope
47. Sum=(Average) x (Number of Terms)
Using Two Points to Find the Slope
Using the Average to Find the Sum
Counting Consecutive Integers
Percent Formula
48. Part = Percent x Whole
Isosceles and Equilateral triangles
Percent Formula
Using Two Points to Find the Slope
Solving an Inequality
49. 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
The 3-4-5 Triangle
(Least) Common Multiple
Intersecting Lines
Multiples of 2 and 4
50. you can add/subtract when the part under the radical is the same
Factor/Multiple
Circumference of a Circle
Adding and Subtracting Roots
Number Categories