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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. The largest factor that two or more numbers have in common.
Even/Odd
Union of Sets
Reciprocal
Greatest Common Factor
2. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Mixed Numbers and Improper Fractions
Adding and Subtracting Roots
Counting Consecutive Integers
Parallel Lines and Transversals
3. Part = Percent x Whole
Interior and Exterior Angles of a Triangle
PEMDAS
Percent Formula
Part-to-Part Ratios and Part-to-Whole Ratios
4. Add the exponents and keep the same base
Multiplying and Dividing Powers
Relative Primes
Percent Formula
Solving a System of Equations
5. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Multiples of 2 and 4
Finding the midpoint
Rate
6. To multiply fractions - multiply the numerators and multiply the denominators
Length of an Arc
Multiplying Fractions
Probability
Comparing Fractions
7. Use the sum - Example: if the average of 4 #s is 7 - and the #s are 3 - 5 - 8 - and ____ - what is the fourth #? Work: sum= 4*7 =28 3+5+8=16 28-16=? Answer: 12
Combined Percent Increase and Decrease
Finding the Missing Number
Multiplying/Dividing Signed Numbers
Tangency
8. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Using the Average to Find the Sum
Simplifying Square Roots
Dividing Fractions
Union of Sets
9. Combine equations in such a way that one of the variables cancel out
Solving a System of Equations
The 5-12-13 Triangle
Characteristics of a Square
Simplifying Square Roots
10. 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
Even/Odd
Using the Average to Find the Sum
Intersecting Lines
Multiplying/Dividing Signed Numbers
11. 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
Average Formula -
Percent Increase and Decrease
Isosceles and Equilateral triangles
Percent Formula
12. Probability= Favorable Outcomes/Total Possible Outcomes
Adding and Subtraction Polynomials
Union of Sets
Probability
Characteristics of a Parallelogram
13. 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
Direct and Inverse Variation
Identifying the Parts and the Whole
Volume of a Rectangular Solid
(Least) Common Multiple
14. (average of the x coordinates - average of the y coordinates)
Reducing Fractions
PEMDAS
Adding and Subtracting monomials
Finding the midpoint
15. Combine like terms
Factor/Multiple
Multiples of 3 and 9
Function - Notation - and Evaulation
Adding and Subtraction Polynomials
16. 2pr
Average of Evenly Spaced Numbers
Area of a Circle
Even/Odd
Circumference of a Circle
17. 1. Re-express them with common denominators 2. Convert them to decimals
Evaluating an Expression
Area of a Circle
Even/Odd
Comparing Fractions
18. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Simplifying Square Roots
Intersection of sets
Adding/Subtracting Fractions
Determining Absolute Value
19. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Function - Notation - and Evaulation
Average Formula -
Adding and Subtracting monomials
Prime Factorization
20. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Volume of a Rectangular Solid
Multiplying/Dividing Signed Numbers
Finding the Original Whole
PEMDAS
21. you can add/subtract when the part under the radical is the same
Multiplying and Dividing Roots
Repeating Decimal
Using an Equation to Find an Intercept
Adding and Subtracting Roots
22. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Counting the Possibilities
Tangency
PEMDAS
Multiples of 2 and 4
23. Domain: all possible values of x for a function range: all possible outputs of a function
Repeating Decimal
Domain and Range of a Function
Finding the Distance Between Two Points
Interior and Exterior Angles of a Triangle
24. 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
PEMDAS
Part-to-Part Ratios and Part-to-Whole Ratios
Adding and Subtraction Polynomials
Characteristics of a Rectangle
25. Growth pattern in which the individuals in a population reproduce at a constant rate; j-curve graph-- logarithmic - FORMULA: y=a(1+r)^ EXPLANATION: a = initial amount before measuring growth/decay r = growth/decay rate (often a percent) x = number of
Prime Factorization
Exponential Growth
Average Rate
Solving an Inequality
26. 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
Adding/Subtracting Fractions
Solving a System of Equations
Using an Equation to Find an Intercept
27. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Setting up a Ratio
(Least) Common Multiple
Raising Powers to Powers
Characteristics of a Square
28. 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
Multiplying Fractions
Comparing Fractions
Adding/Subtracting Signed Numbers
Parallel Lines and Transversals
29. Use this example: Example: after a 5% increase - the population was 59 -346. What was the population before the increase? Work: 1.05x=59 -346 Answer: 56 -520
Negative Exponent and Rational Exponent
Finding the Original Whole
Parallel Lines and Transversals
Percent Formula
30. 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
Similar Triangles
Negative Exponent and Rational Exponent
Adding and Subtraction Polynomials
Multiplying/Dividing Signed Numbers
31. The whole # left over after division
Pythagorean Theorem
Remainders
Comparing Fractions
Raising Powers to Powers
32. 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
Solving a Proportion
Mixed Numbers and Improper Fractions
Using the Average to Find the Sum
Multiples of 3 and 9
33. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Intersecting Lines
(Least) Common Multiple
Adding and Subtracting monomials
Identifying the Parts and the Whole
34. 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
Length of an Arc
Interior and Exterior Angles of a Triangle
Determining Absolute Value
Area of a Sector
35. 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
Even/Odd
Factor/Multiple
Rate
Volume of a Rectangular Solid
36. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Repeating Decimal
Reducing Fractions
Characteristics of a Rectangle
Solving a Proportion
37. 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
Multiplying and Dividing Powers
Characteristics of a Parallelogram
Multiples of 3 and 9
Similar Triangles
38. Volume of a Cylinder = pr^2h
Combined Percent Increase and Decrease
Triangle Inequality Theorem
Mixed Numbers and Improper Fractions
Volume of a Cylinder
39. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Area of a Triangle
Percent Increase and Decrease
Function - Notation - and Evaulation
Average Rate
40. 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)
Median and Mode
Multiples of 2 and 4
Comparing Fractions
Length of an Arc
41. Factor out the perfect squares
Characteristics of a Rectangle
Characteristics of a Square
Simplifying Square Roots
Interior and Exterior Angles of a Triangle
42. pr^2
Characteristics of a Square
Interior and Exterior Angles of a Triangle
Union of Sets
Area of a Circle
43. To solve a proportion - cross multiply
Solving a Proportion
Pythagorean Theorem
Multiples of 3 and 9
Characteristics of a Rectangle
44. To find the reciprocal of a fraction switch the numerator and the denominator
PEMDAS
Reciprocal
Finding the Original Whole
Circumference of a Circle
45. 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
Domain and Range of a Function
Multiplying Fractions
Solving an Inequality
46. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
PEMDAS
Parallel Lines and Transversals
Similar Triangles
The 3-4-5 Triangle
47. Direct variation: equation: y=kx - where k is a nonzero constant trick: y changes directly as x does inverse variation: equation: xy=k trick: y doubles as x halves and vice-versa
Direct and Inverse Variation
Intersecting Lines
Area of a Triangle
Finding the Original Whole
48. 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
Even/Odd
Finding the midpoint
Characteristics of a Parallelogram
Multiplying and Dividing Roots
49. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Function - Notation - and Evaulation
Volume of a Cylinder
Tangency
Rate
50. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Solving an Inequality
Solving a Quadratic Equation
Counting the Possibilities
Parallel Lines and Transversals