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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. 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
Multiples of 3 and 9
Using an Equation to Find the Slope
Evaluating an Expression
2. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Parallel Lines and Transversals
Part-to-Part Ratios and Part-to-Whole Ratios
Solving a Proportion
Greatest Common Factor
3. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Area of a Circle
Number Categories
Adding and Subtraction Polynomials
Median and Mode
4. 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
Raising Powers to Powers
Using Two Points to Find the Slope
Median and Mode
5. (average of the x coordinates - average of the y coordinates)
Interior and Exterior Angles of a Triangle
Relative Primes
Characteristics of a Parallelogram
Finding the midpoint
6. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
PEMDAS
Using an Equation to Find an Intercept
Factor/Multiple
(Least) Common Multiple
7. 1. Re-express them with common denominators 2. Convert them to decimals
Triangle Inequality Theorem
Multiplying Fractions
Interior Angles of a Polygon
Comparing Fractions
8. 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
Area of a Circle
Domain and Range of a Function
Function - Notation - and Evaulation
The 5-12-13 Triangle
9. 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
Counting Consecutive Integers
Tangency
Average Formula -
Finding the Missing Number
10. 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
Multiples of 3 and 9
Exponential Growth
Adding and Subtracting Roots
Direct and Inverse Variation
11. 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
Using an Equation to Find an Intercept
The 5-12-13 Triangle
Mixed Numbers and Improper Fractions
Volume of a Rectangular Solid
12. Sum=(Average) x (Number of Terms)
Reciprocal
Dividing Fractions
Using the Average to Find the Sum
Area of a Circle
13. 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
Characteristics of a Parallelogram
Finding the Missing Number
Repeating Decimal
Exponential Growth
14. 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
Pythagorean Theorem
Exponential Growth
Part-to-Part Ratios and Part-to-Whole Ratios
Counting Consecutive Integers
15. Factor out the perfect squares
Intersection of sets
Simplifying Square Roots
Prime Factorization
Adding and Subtraction Polynomials
16. The largest factor that two or more numbers have in common.
Solving a Proportion
Parallel Lines and Transversals
Greatest Common Factor
Isosceles and Equilateral triangles
17. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Relative Primes
Solving a System of Equations
Multiples of 3 and 9
Parallel Lines and Transversals
18. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Length of an Arc
Multiplying Fractions
Finding the midpoint
Multiplying and Dividing Roots
19. Multiply the exponents
Using the Average to Find the Sum
Raising Powers to Powers
Dividing Fractions
Probability
20. The whole # left over after division
PEMDAS
Remainders
Determining Absolute Value
Volume of a Rectangular Solid
21. To solve a proportion - cross multiply
Reciprocal
Solving a Proportion
Surface Area of a Rectangular Solid
Rate
22. 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
Circumference of a Circle
Mixed Numbers and Improper Fractions
Parallel Lines and Transversals
Solving an Inequality
23. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Function - Notation - and Evaulation
Percent Increase and Decrease
Probability
24. 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 an Intercept
Area of a Triangle
Greatest Common Factor
Factor/Multiple
25. Combine equations in such a way that one of the variables cancel out
Finding the Original Whole
Characteristics of a Rectangle
Solving a System of Equations
Setting up a Ratio
26. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Greatest Common Factor
Interior Angles of a Polygon
Number Categories
Remainders
27. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
Pythagorean Theorem
Multiples of 2 and 4
Adding and Subtraction Polynomials
28. 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
Using an Equation to Find the Slope
Function - Notation - and Evaulation
Relative Primes
Isosceles and Equilateral triangles
29. Change in y/ change in x rise/run
Using Two Points to Find the Slope
Multiplying/Dividing Signed Numbers
Dividing Fractions
Pythagorean Theorem
30. For all right triangles: a^2+b^2=c^2
Pythagorean Theorem
Using Two Points to Find the Slope
Finding the midpoint
Area of a Circle
31. To divide fractions - invert the second one and multiply
Reciprocal
Multiplying/Dividing Signed Numbers
Adding and Subtracting monomials
Dividing Fractions
32. Add the exponents and keep the same base
Average Formula -
Setting up a Ratio
Multiplying and Dividing Powers
Mixed Numbers and Improper Fractions
33. 2pr
The 5-12-13 Triangle
Combined Percent Increase and Decrease
Multiplying Monomials
Circumference of a Circle
34. To find the reciprocal of a fraction switch the numerator and the denominator
Remainders
Solving a Quadratic Equation
Volume of a Rectangular Solid
Reciprocal
35. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Part-to-Part Ratios and Part-to-Whole Ratios
Circumference of a Circle
Intersection of sets
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
Finding the Original Whole
Using an Equation to Find the Slope
Interior and Exterior Angles of a Triangle
Part-to-Part Ratios and Part-to-Whole Ratios
37. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Union of Sets
Circumference of a Circle
Part-to-Part Ratios and Part-to-Whole Ratios
Simplifying Square Roots
38. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Reducing Fractions
Finding the Missing Number
Evaluating an Expression
Solving a Quadratic Equation
39. 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
Intersecting Lines
Multiplying Fractions
Solving an Inequality
Number Categories
40. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Repeating Decimal
Characteristics of a Rectangle
Parallel Lines and Transversals
Intersection of sets
41. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
PEMDAS
Characteristics of a Square
Combined Percent Increase and Decrease
Finding the midpoint
42. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Raising Powers to Powers
Factor/Multiple
Multiplying and Dividing Powers
Tangency
43. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Domain and Range of a Function
Comparing Fractions
Setting up a Ratio
Volume of a Rectangular Solid
44. 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
Percent Increase and Decrease
The 5-12-13 Triangle
Simplifying Square Roots
45. Combine like terms
Triangle Inequality Theorem
Finding the Original Whole
Multiplying and Dividing Roots
Adding and Subtraction Polynomials
46. 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
Greatest Common Factor
Mixed Numbers and Improper Fractions
Percent Increase and Decrease
Exponential Growth
47. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
(Least) Common Multiple
Domain and Range of a Function
Comparing Fractions
48. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Reducing Fractions
Surface Area of a Rectangular Solid
Tangency
Greatest Common Factor
49. 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
Even/Odd
Adding/Subtracting Signed Numbers
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
Rate
Adding and Subtracting Roots
Adding and Subtracting monomials
Counting the Possibilities