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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 whole # left over after division
Remainders
Mixed Numbers and Improper Fractions
Average of Evenly Spaced Numbers
Characteristics of a Square
2. 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 an Intercept
Adding and Subtraction Polynomials
The 3-4-5 Triangle
Using an Equation to Find the Slope
3. Sum=(Average) x (Number of Terms)
Using the Average to Find the Sum
Probability
Multiplying and Dividing Powers
Circumference of a Circle
4. The largest factor that two or more numbers have in common.
Greatest Common Factor
Setting up a Ratio
Using an Equation to Find the Slope
Characteristics of a Square
5. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Area of a Circle
Isosceles and Equilateral triangles
Parallel Lines and Transversals
Determining Absolute Value
6. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Function - Notation - and Evaulation
Adding and Subtracting monomials
Factor/Multiple
Tangency
7. If there are m ways one event can happen and n ways a second event can happen - then there are m × n ways for the 2 events to happen
Counting the Possibilities
(Least) Common Multiple
Reducing Fractions
Surface Area of a Rectangular Solid
8. A square is a rectangle with four equal sides; Area of Square = side*side
Characteristics of a Square
Multiplying/Dividing Signed Numbers
Simplifying Square Roots
Dividing Fractions
9. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
The 3-4-5 Triangle
Dividing Fractions
Similar Triangles
Characteristics of a Rectangle
10. Volume of a Cylinder = pr^2h
Characteristics of a Rectangle
Relative Primes
Volume of a Cylinder
Average of Evenly Spaced Numbers
11. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Adding/Subtracting Fractions
PEMDAS
Interior and Exterior Angles of a Triangle
12. 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 an Intercept
Multiples of 2 and 4
Relative Primes
Interior Angles of a Polygon
13. Add the exponents and keep the same base
Reciprocal
Union of Sets
Multiplying and Dividing Powers
Circumference of a Circle
14. 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
Prime Factorization
Area of a Triangle
Using an Equation to Find the Slope
Probability
15. 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
Multiples of 3 and 9
Dividing Fractions
The 5-12-13 Triangle
Number Categories
16. 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
Characteristics of a Parallelogram
Tangency
PEMDAS
17. Surface Area = 2lw + 2wh + 2lh
Repeating Decimal
Surface Area of a Rectangular Solid
Identifying the Parts and the Whole
Volume of a Cylinder
18. 1. Re-express them with common denominators 2. Convert them to decimals
PEMDAS
Finding the Missing Number
Using an Equation to Find the Slope
Comparing Fractions
19. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Using the Average to Find the Sum
Tangency
Comparing Fractions
Reducing Fractions
20. Factor out the perfect squares
Simplifying Square Roots
Intersection of sets
Surface Area of a Rectangular Solid
Number Categories
21. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Prime Factorization
Tangency
Setting up a Ratio
Characteristics of a Parallelogram
22. 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
Intersection of sets
Evaluating an Expression
Part-to-Part Ratios and Part-to-Whole Ratios
Using an Equation to Find an Intercept
23. Combine equations in such a way that one of the variables cancel out
Solving a System of Equations
Identifying the Parts and the Whole
Adding/Subtracting Fractions
Adding/Subtracting Signed Numbers
24. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Solving a System of Equations
Adding/Subtracting Fractions
Circumference of a Circle
Isosceles and Equilateral triangles
25. 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
Greatest Common Factor
Using an Equation to Find the Slope
Combined Percent Increase and Decrease
Using an Equation to Find an Intercept
26. pr^2
Remainders
Area of a Circle
Determining Absolute Value
Circumference of a Circle
27. For all right triangles: a^2+b^2=c^2
Interior and Exterior Angles of a Triangle
Pythagorean Theorem
Percent Increase and Decrease
Mixed Numbers and Improper Fractions
28. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Repeating Decimal
Adding and Subtracting monomials
Parallel Lines and Transversals
Characteristics of a Parallelogram
29. 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)
Mixed Numbers and Improper Fractions
Finding the Original Whole
Length of an Arc
Triangle Inequality Theorem
30. 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
Function - Notation - and Evaulation
Relative Primes
Multiplying and Dividing Powers
Identifying the Parts and the Whole
31. To divide fractions - invert the second one and multiply
Isosceles and Equilateral triangles
Solving a Quadratic Equation
Dividing Fractions
Greatest Common Factor
32. 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
Multiples of 3 and 9
Isosceles and Equilateral triangles
Remainders
Multiples of 2 and 4
33. 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
Function - Notation - and Evaulation
The 5-12-13 Triangle
Interior Angles of a Polygon
Percent Increase and Decrease
34. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
Probability
Triangle Inequality Theorem
The 5-12-13 Triangle
35. 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
The 3-4-5 Triangle
Average Formula -
Surface Area of a Rectangular Solid
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
Setting up a Ratio
Intersection of sets
Interior and Exterior Angles of a Triangle
Multiplying and Dividing Roots
37. If a right triangle's leg-to-leg ratio is 3:4 - or if the leg-to-hypotenuse ratio is 3:5 or 4:5 - it's a 3-4-5 triangle and you don't need to use the Pythagorean theorem to find the third side
Percent Formula
Dividing Fractions
Characteristics of a Rectangle
The 3-4-5 Triangle
38. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Identifying the Parts and the Whole
Adding and Subtraction Polynomials
Dividing Fractions
Intersecting Lines
39. 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
Multiplying and Dividing Roots
Adding and Subtracting Roots
The 5-12-13 Triangle
40. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Area of a Sector
Raising Powers to Powers
Intersection of sets
PEMDAS
41. 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
Identifying the Parts and the Whole
Union of Sets
Multiplying Monomials
42. 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)
Using Two Points to Find the Slope
Number Categories
Adding and Subtracting monomials
Area of a Sector
43. Domain: all possible values of x for a function range: all possible outputs of a function
Greatest Common Factor
Domain and Range of a Function
Percent Formula
Part-to-Part Ratios and Part-to-Whole Ratios
44. 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
Tangency
Reducing Fractions
Interior Angles of a Polygon
45. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Percent Increase and Decrease
Volume of a Cylinder
Tangency
Dividing Fractions
46. 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
Even/Odd
Similar Triangles
Direct and Inverse Variation
Solving an Inequality
47. 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
Using an Equation to Find the Slope
Average Rate
Multiplying Monomials
48. 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
Adding/Subtracting Signed Numbers
Finding the Missing Number
Multiples of 2 and 4
Repeating Decimal
49. 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
Raising Powers to Powers
Multiplying/Dividing Signed Numbers
Mixed Numbers and Improper Fractions
Multiplying and Dividing Roots
50. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Comparing Fractions
Prime Factorization
Volume of a Rectangular Solid
Reducing Fractions