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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. Part = Percent x Whole
The 3-4-5 Triangle
Solving a System of Equations
Percent Formula
Adding and Subtracting monomials
2. Add the exponents and keep the same base
Solving a System of Equations
Isosceles and Equilateral triangles
Intersecting Lines
Multiplying and Dividing Powers
3. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Remainders
Intersecting Lines
Using an Equation to Find the Slope
Percent Formula
4. 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
Rate
Adding/Subtracting Signed Numbers
Counting the Possibilities
The 5-12-13 Triangle
5. The whole # left over after division
Reciprocal
Isosceles and Equilateral triangles
Triangle Inequality Theorem
Remainders
6. 2pr
Circumference of a Circle
Greatest Common Factor
Simplifying Square Roots
Negative Exponent and Rational Exponent
7. Sum=(Average) x (Number of Terms)
Exponential Growth
Determining Absolute Value
Using an Equation to Find an Intercept
Using the Average to Find the Sum
8. For all right triangles: a^2+b^2=c^2
Repeating Decimal
Pythagorean Theorem
Parallel Lines and Transversals
Mixed Numbers and Improper Fractions
9. 1. Re-express them with common denominators 2. Convert them to decimals
Raising Powers to Powers
Comparing Fractions
Probability
Dividing Fractions
10. 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
Isosceles and Equilateral triangles
Finding the midpoint
Identifying the Parts and the Whole
Intersection of sets
11. pr^2
Area of a Circle
(Least) Common Multiple
Comparing Fractions
Union of Sets
12. (average of the x coordinates - average of the y coordinates)
Prime Factorization
Finding the midpoint
Multiplying and Dividing Roots
Area of a Circle
13. 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
Multiplying and Dividing Powers
Similar Triangles
Solving a Quadratic Equation
Isosceles and Equilateral triangles
14. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Combined Percent Increase and Decrease
Adding/Subtracting Signed Numbers
Multiplying and Dividing Powers
15. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Repeating Decimal
The 3-4-5 Triangle
Multiplying and Dividing Roots
Median and Mode
16. 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.
Repeating Decimal
Average of Evenly Spaced Numbers
Number Categories
Percent Increase and Decrease
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
Solving a Quadratic Equation
Setting up a Ratio
Multiplying and Dividing Roots
Adding and Subtracting Roots
18. 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
Repeating Decimal
Greatest Common Factor
Characteristics of a Rectangle
Using an Equation to Find an Intercept
19. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Similar Triangles
Multiplying Monomials
Probability
Solving a Proportion
20. 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
Prime Factorization
Negative Exponent and Rational Exponent
Reciprocal
Parallel Lines and Transversals
21. 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
Interior Angles of a Polygon
Determining Absolute Value
Surface Area of a Rectangular Solid
Triangle Inequality Theorem
22. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Even/Odd
Multiplying and Dividing Roots
Union of Sets
Average Rate
23. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Interior Angles of a Polygon
Comparing Fractions
Isosceles and Equilateral triangles
Union of Sets
24. The smallest multiple (other than zero) that two or more numbers have in common.
(Least) Common Multiple
PEMDAS
Rate
Length of an Arc
25. 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)
Multiples of 3 and 9
Area of a Sector
Average Formula -
Length of an Arc
26. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Characteristics of a Parallelogram
Average Formula -
Isosceles and Equilateral triangles
Adding/Subtracting Signed Numbers
27. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Finding the midpoint
Circumference of a Circle
Tangency
Repeating Decimal
28. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Surface Area of a Rectangular Solid
Adding and Subtraction Polynomials
Multiplying and Dividing Roots
Using an Equation to Find the Slope
29. Domain: all possible values of x for a function range: all possible outputs of a function
Domain and Range of a Function
Reducing Fractions
Adding and Subtraction Polynomials
Area of a Circle
30. 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
The 5-12-13 Triangle
Repeating Decimal
Probability
Isosceles and Equilateral triangles
31. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Volume of a Rectangular Solid
Parallel Lines and Transversals
Area of a Circle
Reducing Fractions
32. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Parallel Lines and Transversals
Counting the Possibilities
Multiplying Monomials
Multiples of 2 and 4
33. 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
Domain and Range of a Function
Counting Consecutive Integers
Rate
Area of a Triangle
34. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Multiples of 3 and 9
Multiplying Monomials
Interior Angles of a Polygon
Even/Odd
35. Combine like terms
Length of an Arc
Characteristics of a Parallelogram
Using an Equation to Find the Slope
Adding and Subtraction Polynomials
36. 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
Intersection of sets
Counting Consecutive Integers
Even/Odd
Using Two Points to Find the Slope
37. A square is a rectangle with four equal sides; Area of Square = side*side
Characteristics of a Square
Isosceles and Equilateral triangles
(Least) Common Multiple
Percent Increase and Decrease
38. # 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
Counting Consecutive Integers
PEMDAS
Similar Triangles
39. 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
Exponential Growth
Mixed Numbers and Improper Fractions
Probability
Evaluating an Expression
40. Change in y/ change in x rise/run
Using Two Points to Find the Slope
Circumference of a Circle
Intersection of sets
Part-to-Part Ratios and Part-to-Whole Ratios
41. 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
Intersection of sets
(Least) Common Multiple
Adding/Subtracting Signed Numbers
Finding the Missing Number
42. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Using the Average to Find the Sum
Determining Absolute Value
The 5-12-13 Triangle
Counting the Possibilities
43. 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
Adding/Subtracting Fractions
Counting the Possibilities
Direct and Inverse Variation
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
Finding the Distance Between Two Points
Average Formula -
Using an Equation to Find an Intercept
Solving a Quadratic Equation
45. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Multiplying and Dividing Roots
Dividing Fractions
Characteristics of a Parallelogram
Parallel Lines and Transversals
46. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Multiplying and Dividing Roots
Adding/Subtracting Fractions
Direct and Inverse Variation
Isosceles and Equilateral triangles
47. 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
Negative Exponent and Rational Exponent
Interior and Exterior Angles of a Triangle
PEMDAS
Volume of a Cylinder
48. 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
Reciprocal
Finding the midpoint
Exponential Growth
Raising Powers to Powers
49. 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
Relative Primes
Average Formula -
Dividing Fractions
Median and Mode
50. 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
Solving a Quadratic Equation
Comparing Fractions
Area of a Triangle