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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. Multiply the exponents
Characteristics of a Square
Adding/Subtracting Fractions
Multiples of 2 and 4
Raising Powers to Powers
2. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Adding and Subtracting Roots
PEMDAS
Solving a Proportion
Multiples of 2 and 4
3. 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
Using an Equation to Find the Slope
Raising Powers to Powers
Area of a Triangle
Direct and Inverse Variation
4. Notation: f(x) read: 'f of x' evaluation: if you want to evaluate the function for f(4) - replace x with 4 everywhere in the equation
Dividing Fractions
Finding the midpoint
Remainders
Function - Notation - and Evaulation
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
Parallel Lines and Transversals
Domain and Range of a Function
Interior Angles of a Polygon
Rate
6. Factor out the perfect squares
Raising Powers to Powers
Pythagorean Theorem
Volume of a Cylinder
Simplifying Square Roots
7. 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
Percent Increase and Decrease
Volume of a Cylinder
Rate
Finding the Original Whole
8. Probability= Favorable Outcomes/Total Possible Outcomes
Domain and Range of a Function
Characteristics of a Parallelogram
Setting up a Ratio
Probability
9. Sum=(Average) x (Number of Terms)
Multiplying and Dividing Roots
Surface Area of a Rectangular Solid
Using the Average to Find the Sum
Adding and Subtracting Roots
10. The largest factor that two or more numbers have in common.
Greatest Common Factor
Reducing Fractions
Counting the Possibilities
Average of Evenly Spaced Numbers
11. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Combined Percent Increase and Decrease
Simplifying Square Roots
Rate
Using an Equation to Find the Slope
12. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Adding/Subtracting Signed Numbers
Prime Factorization
Interior Angles of a Polygon
Direct and Inverse Variation
13. 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
Union of Sets
Multiplying and Dividing Roots
Exponential Growth
Combined Percent Increase and Decrease
14. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Intersecting Lines
Average of Evenly Spaced Numbers
Characteristics of a Parallelogram
Area of a Sector
15. To find the reciprocal of a fraction switch the numerator and the denominator
Reciprocal
Isosceles and Equilateral triangles
Number Categories
Finding the Original Whole
16. 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
Isosceles and Equilateral triangles
Adding and Subtracting monomials
Identifying the Parts and the Whole
Mixed Numbers and Improper Fractions
17. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Multiplying and Dividing Powers
Evaluating an Expression
Finding the midpoint
Area of a Circle
18. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Characteristics of a Rectangle
Union of Sets
Solving an Inequality
Finding the midpoint
19. Subtract the smallest from the largest and add 1
Isosceles and Equilateral triangles
Multiplying and Dividing Roots
Percent Increase and Decrease
Counting Consecutive Integers
20. 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)
Length of an Arc
Multiples of 3 and 9
Solving a Proportion
Raising Powers to Powers
21. Domain: all possible values of x for a function range: all possible outputs of a function
PEMDAS
Relative Primes
Domain and Range of a Function
Multiplying and Dividing Powers
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
Determining Absolute Value
Percent Formula
Area of a Circle
Solving a Quadratic Equation
23. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Characteristics of a Square
Surface Area of a Rectangular Solid
Parallel Lines and Transversals
(Least) Common Multiple
24. 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 Rectangle
Setting up a Ratio
Finding the Missing Number
25. To multiply fractions - multiply the numerators and multiply the denominators
Setting up a Ratio
Multiplying Fractions
Using Two Points to Find the Slope
Multiplying and Dividing Powers
26. 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
Remainders
Adding/Subtracting Signed Numbers
Volume of a Rectangular Solid
Average Rate
27. A square is a rectangle with four equal sides; Area of Square = side*side
Average of Evenly Spaced Numbers
Multiplying/Dividing Signed Numbers
Part-to-Part Ratios and Part-to-Whole Ratios
Characteristics of a Square
28. 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
Tangency
Triangle Inequality Theorem
Volume of a Cylinder
Multiplying/Dividing Signed Numbers
29. Part = Percent x Whole
Multiples of 2 and 4
Function - Notation - and Evaulation
Using an Equation to Find an Intercept
Percent Formula
30. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Adding/Subtracting Fractions
Probability
Solving an Inequality
Comparing Fractions
31. To divide fractions - invert the second one and multiply
Dividing Fractions
Multiplying Fractions
Solving an Inequality
Area of a Circle
32. 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
Repeating Decimal
Using an Equation to Find an Intercept
Finding the Original Whole
Exponential Growth
33. 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 Distance Between Two Points
Number Categories
Part-to-Part Ratios and Part-to-Whole Ratios
Reciprocal
34. 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
Intersecting Lines
(Least) Common Multiple
Finding the Missing Number
35. you can add/subtract when the part under the radical is the same
Finding the Missing Number
Interior and Exterior Angles of a Triangle
Adding and Subtracting Roots
Factor/Multiple
36. 1. Re-express them with common denominators 2. Convert them to decimals
Relative Primes
Reducing Fractions
Greatest Common Factor
Comparing Fractions
37. (average of the x coordinates - average of the y coordinates)
Adding and Subtracting monomials
Finding the midpoint
Negative Exponent and Rational Exponent
Solving a Proportion
38. 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
Negative Exponent and Rational Exponent
Isosceles and Equilateral triangles
Rate
Raising Powers to Powers
39. Change in y/ change in x rise/run
Using Two Points to Find the Slope
Probability
Median and Mode
(Least) Common Multiple
40. Volume of a Cylinder = pr^2h
Rate
Prime Factorization
Identifying the Parts and the Whole
Volume of a Cylinder
41. For all right triangles: a^2+b^2=c^2
Pythagorean Theorem
Using the Average to Find the Sum
Area of a Sector
Solving a System of Equations
42. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Factor/Multiple
Reciprocal
Determining Absolute Value
Tangency
43. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Adding and Subtracting monomials
Reducing Fractions
Probability
Average Formula -
44. 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
The 3-4-5 Triangle
Tangency
Identifying the Parts and the Whole
Finding the Original Whole
45. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Similar Triangles
Multiplying Monomials
Repeating Decimal
Intersection of sets
46. The whole # left over after division
Determining Absolute Value
Remainders
Interior Angles of a Polygon
Counting Consecutive Integers
47. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Using an Equation to Find the Slope
Solving an Inequality
Determining Absolute Value
Average Formula -
48. 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
Prime Factorization
Mixed Numbers and Improper Fractions
49. 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
Finding the Original Whole
Part-to-Part Ratios and Part-to-Whole Ratios
Adding and Subtracting Roots
Adding and Subtraction Polynomials
50. pr^2
The 5-12-13 Triangle
Number Categories
Multiples of 3 and 9
Area of a Circle