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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Subjects
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sat
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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 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
Triangle Inequality Theorem
Multiplying Monomials
Area of a Sector
Multiples of 3 and 9
2. Add the exponents and keep the same base
PEMDAS
Area of a Triangle
Multiplying and Dividing Powers
Setting up a Ratio
3. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Tangency
Identifying the Parts and the Whole
The 3-4-5 Triangle
Interior and Exterior Angles of a Triangle
4. Surface Area = 2lw + 2wh + 2lh
Surface Area of a Rectangular Solid
PEMDAS
Multiplying/Dividing Signed Numbers
Finding the Original Whole
5. 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
Triangle Inequality Theorem
Exponential Growth
Interior and Exterior Angles of a Triangle
Adding/Subtracting Fractions
6. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Exponential Growth
Raising Powers to Powers
Number Categories
Using an Equation to Find the Slope
7. Probability= Favorable Outcomes/Total Possible Outcomes
(Least) Common Multiple
Pythagorean Theorem
Area of a Circle
Probability
8. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Determining Absolute Value
Using the Average to Find the Sum
Volume of a Rectangular Solid
Volume of a Cylinder
9. Combine like terms
Adding and Subtraction Polynomials
Solving a Quadratic Equation
Characteristics of a Rectangle
Adding/Subtracting Signed Numbers
10. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Average of Evenly Spaced Numbers
Surface Area of a Rectangular Solid
Remainders
Direct and Inverse Variation
11. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Part-to-Part Ratios and Part-to-Whole Ratios
Direct and Inverse Variation
Counting Consecutive Integers
Union of Sets
12. To solve a proportion - cross multiply
Remainders
Solving a Proportion
Function - Notation - and Evaulation
Finding the Missing Number
13. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Reducing Fractions
Finding the Original Whole
Setting up a Ratio
Solving a System of Equations
14. pr^2
Multiples of 3 and 9
Area of a Circle
Function - Notation - and Evaulation
Multiplying/Dividing Signed Numbers
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
Solving a Quadratic Equation
Characteristics of a Square
Average Formula -
Direct and Inverse Variation
16. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
The 5-12-13 Triangle
Negative Exponent and Rational Exponent
Multiplying and Dividing Powers
Parallel Lines and Transversals
17. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Characteristics of a Square
Average of Evenly Spaced Numbers
Solving an Inequality
Multiplying and Dividing Roots
18. The smallest multiple (other than zero) that two or more numbers have in common.
(Least) Common Multiple
Simplifying Square Roots
Area of a Circle
Triangle Inequality Theorem
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
Multiplying/Dividing Signed Numbers
Average Rate
Relative Primes
Direct and Inverse Variation
20. 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
Prime Factorization
Function - Notation - and Evaulation
Finding the Missing Number
Area of a Sector
21. Combine equations in such a way that one of the variables cancel out
Using an Equation to Find the Slope
Solving a System of Equations
Adding/Subtracting Signed Numbers
Finding the Original Whole
22. 2pr
Multiplying Monomials
Similar Triangles
Circumference of a Circle
Adding/Subtracting Signed Numbers
23. you can add/subtract when the part under the radical is the same
Solving a System of Equations
Interior Angles of a Polygon
Adding and Subtracting Roots
Triangle Inequality Theorem
24. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Using Two Points to Find the Slope
The 3-4-5 Triangle
PEMDAS
Area of a Triangle
25. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Factor/Multiple
Intersection of sets
Multiplying/Dividing Signed Numbers
Average of Evenly Spaced Numbers
26. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Reciprocal
Relative Primes
Interior Angles of a Polygon
Percent Formula
27. 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
Finding the Original Whole
Dividing Fractions
Volume of a Cylinder
Combined Percent Increase and Decrease
28. 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
Determining Absolute Value
Probability
Surface Area of a Rectangular Solid
Negative Exponent and Rational Exponent
29. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Multiples of 2 and 4
Factor/Multiple
Intersecting Lines
Pythagorean Theorem
30. Volume of a Cylinder = pr^2h
Using an Equation to Find the Slope
Counting Consecutive Integers
Volume of a Cylinder
Surface Area of a Rectangular Solid
31. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Counting the Possibilities
Multiples of 3 and 9
Interior Angles of a Polygon
Mixed Numbers and Improper Fractions
32. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Triangle Inequality Theorem
Adding and Subtracting Roots
Setting up a Ratio
Finding the Distance Between Two Points
33. 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
Raising Powers to Powers
Dividing Fractions
Simplifying Square Roots
34. A square is a rectangle with four equal sides; Area of Square = side*side
Counting Consecutive Integers
Characteristics of a Square
Reciprocal
Adding/Subtracting Fractions
35. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
(Least) Common Multiple
Adding and Subtracting Roots
Multiplying/Dividing Signed Numbers
Multiples of 2 and 4
36. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Domain and Range of a Function
Probability
Median and Mode
Characteristics of a Parallelogram
37. 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
The 3-4-5 Triangle
Exponential Growth
Interior and Exterior Angles of a Triangle
Number Categories
38. (average of the x coordinates - average of the y coordinates)
Length of an Arc
Finding the midpoint
Part-to-Part Ratios and Part-to-Whole Ratios
Similar Triangles
39. The largest factor that two or more numbers have in common.
Surface Area of a Rectangular Solid
Setting up a Ratio
PEMDAS
Greatest Common Factor
40. Part = Percent x Whole
Percent Formula
Isosceles and Equilateral triangles
Finding the Original Whole
Factor/Multiple
41. 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
Counting Consecutive Integers
Tangency
Mixed Numbers and Improper Fractions
Multiplying Fractions
42. 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
Multiplying and Dividing Powers
Using an Equation to Find an Intercept
Finding the Missing Number
Multiplying Fractions
43. 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
Finding the Missing Number
Reducing Fractions
Function - Notation - and Evaulation
Characteristics of a Rectangle
44. 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.
Multiples of 3 and 9
Finding the Original Whole
Combined Percent Increase and Decrease
Number Categories
45. 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
Interior and Exterior Angles of a Triangle
Percent Formula
Greatest Common Factor
46. 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
Mixed Numbers and Improper Fractions
Multiples of 2 and 4
Percent Increase and Decrease
47. 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
Interior Angles of a Polygon
Using an Equation to Find an Intercept
Multiples of 3 and 9
48. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Multiplying Monomials
Intersection of sets
Adding and Subtracting Roots
Tangency
49. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Interior Angles of a Polygon
Average Formula -
Comparing Fractions
Part-to-Part Ratios and Part-to-Whole Ratios
50. 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
Multiplying and Dividing Powers
Function - Notation - and Evaulation
Solving a Quadratic Equation