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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. you can add/subtract when the part under the radical is the same
Finding the Original Whole
Dividing Fractions
Percent Formula
Adding and Subtracting Roots
2. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Exponential Growth
Parallel Lines and Transversals
Factor/Multiple
Length of an Arc
3. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Part-to-Part Ratios and Part-to-Whole Ratios
Solving an Inequality
Reducing Fractions
Setting up a Ratio
4. Domain: all possible values of x for a function range: all possible outputs of a function
Greatest Common Factor
Length of an Arc
Domain and Range of a Function
Area of a Sector
5. Probability= Favorable Outcomes/Total Possible Outcomes
Greatest Common Factor
Rate
Evaluating an Expression
Probability
6. 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)
Interior Angles of a Polygon
Counting the Possibilities
Area of a Sector
Adding and Subtracting Roots
7. 1. Re-express them with common denominators 2. Convert them to decimals
Comparing Fractions
Raising Powers to Powers
The 5-12-13 Triangle
Remainders
8. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Characteristics of a Square
Evaluating an Expression
Area of a Triangle
Determining Absolute Value
9. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Pythagorean Theorem
Average Rate
Volume of a Rectangular Solid
Simplifying Square Roots
10. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Parallel Lines and Transversals
Solving a Proportion
Interior Angles of a Polygon
Circumference of a Circle
11. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Area of a Sector
Adding/Subtracting Fractions
Function - Notation - and Evaulation
Intersecting Lines
12. 2pr
Relative Primes
Average of Evenly Spaced Numbers
Circumference of a Circle
Remainders
13. The whole # left over after division
Reciprocal
Intersection of sets
Surface Area of a Rectangular Solid
Remainders
14. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Using an Equation to Find an Intercept
Factor/Multiple
Union of Sets
Average of Evenly Spaced Numbers
15. 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
Simplifying Square Roots
Area of a Circle
Solving a Proportion
16. pr^2
Area of a Circle
Percent Increase and Decrease
PEMDAS
The 5-12-13 Triangle
17. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Interior and Exterior Angles of a Triangle
PEMDAS
Intersecting Lines
Area of a Triangle
18. 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
The 3-4-5 Triangle
Adding/Subtracting Signed Numbers
Relative Primes
Repeating Decimal
19. Combine like terms
Volume of a Cylinder
Adding and Subtraction Polynomials
The 5-12-13 Triangle
Part-to-Part Ratios and Part-to-Whole Ratios
20. 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
Number Categories
Percent Increase and Decrease
Reducing Fractions
Identifying the Parts and the Whole
21. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Reducing Fractions
Multiplying/Dividing Signed Numbers
Interior and Exterior Angles of a Triangle
Using an Equation to Find an Intercept
22. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Domain and Range of a Function
Adding/Subtracting Fractions
Factor/Multiple
Solving a Quadratic Equation
23. 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)
Multiplying and Dividing Powers
Mixed Numbers and Improper Fractions
Using the Average to Find the Sum
Length of an Arc
24. The smallest multiple (other than zero) that two or more numbers have in common.
Finding the Missing Number
(Least) Common Multiple
Multiples of 2 and 4
Determining Absolute Value
25. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Percent Formula
Finding the Distance Between Two Points
Relative Primes
PEMDAS
26. 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 of Evenly Spaced Numbers
Percent Formula
Multiplying Monomials
27. To divide fractions - invert the second one and multiply
Dividing Fractions
Using the Average to Find the Sum
Domain and Range of a Function
Adding and Subtracting monomials
28. Add the exponents and keep the same base
Multiples of 3 and 9
Using the Average to Find the Sum
Area of a Triangle
Multiplying and Dividing Powers
29. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Even/Odd
Median and Mode
Union of Sets
Average of Evenly Spaced Numbers
30. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Adding and Subtracting Roots
Using an Equation to Find the Slope
(Least) Common Multiple
Intersecting Lines
31. 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
Greatest Common Factor
Repeating Decimal
Characteristics of a Rectangle
Area of a Triangle
32. Factor out the perfect squares
Simplifying Square Roots
Counting Consecutive Integers
Area of a Sector
Remainders
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
Domain and Range of a Function
Using an Equation to Find an Intercept
Intersection of sets
Solving a Proportion
34. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Interior Angles of a Polygon
Negative Exponent and Rational Exponent
Average Rate
Characteristics of a Square
35. To predict whether the sum - difference - or product will be even or odd - just take simple numbers such as 1 and 2 and see what happens; there are rules like 'odd times even is odd' - but there's no need to memorize them
Intersection of sets
Even/Odd
Evaluating an Expression
Adding and Subtracting monomials
36. 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.
Finding the midpoint
Number Categories
Length of an Arc
Multiplying and Dividing Roots
37. A square is a rectangle with four equal sides; Area of Square = side*side
Remainders
Adding and Subtracting monomials
Characteristics of a Square
Finding the midpoint
38. 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
Finding the Original Whole
Counting Consecutive Integers
Combined Percent Increase and Decrease
Parallel Lines and Transversals
39. 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
Using Two Points to Find the Slope
Determining Absolute Value
Using an Equation to Find the Slope
Repeating Decimal
40. Change in y/ change in x rise/run
Using Two Points to Find the Slope
Finding the midpoint
Rate
Multiplying/Dividing Signed Numbers
41. Negative exponent: put number under 1 in a fraction and work out the exponent Rational exponent: square root it- 1. make the root of the problem whatever the denominator of the exponent is 2. the exponent under your root sign is the numerator of the
Rate
Multiplying/Dividing Signed Numbers
Interior Angles of a Polygon
Negative Exponent and Rational Exponent
42. (average of the x coordinates - average of the y coordinates)
PEMDAS
Finding the midpoint
Multiplying and Dividing Roots
Multiples of 2 and 4
43. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Determining Absolute Value
Area of a Circle
Using the Average to Find the Sum
Direct and Inverse Variation
44. For all right triangles: a^2+b^2=c^2
Negative Exponent and Rational Exponent
Pythagorean Theorem
Greatest Common Factor
Isosceles and Equilateral triangles
45. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Using an Equation to Find the Slope
Adding and Subtracting monomials
Greatest Common Factor
Setting up a Ratio
46. 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
Raising Powers to Powers
Part-to-Part Ratios and Part-to-Whole Ratios
Solving an Inequality
Negative Exponent and Rational Exponent
47. 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
Mixed Numbers and Improper Fractions
Multiples of 3 and 9
Multiples of 2 and 4
Characteristics of a Square
48. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Finding the midpoint
Average Rate
Using the Average to Find the Sum
Multiplying Monomials
49. Sum=(Average) x (Number of Terms)
Using the Average to Find the Sum
Interior Angles of a Polygon
Domain and Range of a Function
Reducing Fractions
50. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Average Rate
Multiples of 2 and 4
Intersection of sets
Finding the Distance Between Two Points