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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. Change in y/ change in x rise/run
PEMDAS
Volume of a Cylinder
Using Two Points to Find the Slope
Solving a Proportion
2. 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
Multiplying Fractions
Multiplying Monomials
Identifying the Parts and the Whole
3. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Percent Formula
Part-to-Part Ratios and Part-to-Whole Ratios
Multiplying and Dividing Powers
Multiplying and Dividing Roots
4. The whole # left over after division
Average of Evenly Spaced Numbers
Direct and Inverse Variation
Remainders
Characteristics of a Square
5. 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.
Number Categories
Reciprocal
Characteristics of a Square
Counting the Possibilities
6. 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
Dividing Fractions
Intersecting Lines
Solving an Inequality
Counting the Possibilities
7. 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
Interior Angles of a Polygon
Adding/Subtracting Signed Numbers
Number Categories
Exponential Growth
8. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Rate
Average Formula -
Percent Formula
Characteristics of a Rectangle
9. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Rate
Domain and Range of a Function
Greatest Common Factor
Determining Absolute Value
10. 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
Using an Equation to Find an Intercept
Solving a System of Equations
Percent Increase and Decrease
Length of an Arc
11. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Average Formula -
Average of Evenly Spaced Numbers
Characteristics of a Rectangle
Comparing Fractions
12. 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 the Slope
Area of a Sector
Raising Powers to Powers
Counting Consecutive Integers
13. Domain: all possible values of x for a function range: all possible outputs of a function
Adding and Subtracting monomials
Function - Notation - and Evaulation
Adding/Subtracting Signed Numbers
Domain and Range of a Function
14. 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
Direct and Inverse Variation
Exponential Growth
Area of a Sector
Evaluating an Expression
15. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Volume of a Rectangular Solid
Mixed Numbers and Improper Fractions
Area of a Triangle
Average Rate
16. 2pr
Circumference of a Circle
Multiplying and Dividing Powers
Combined Percent Increase and Decrease
Intersection of sets
17. Combine equations in such a way that one of the variables cancel out
Solving a System of Equations
Finding the midpoint
Adding and Subtracting monomials
Direct and Inverse Variation
18. pr^2
Adding and Subtracting Roots
Finding the Original Whole
Area of a Circle
Parallel Lines and Transversals
19. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Remainders
Characteristics of a Rectangle
Using an Equation to Find an Intercept
Relative Primes
20. Factor out the perfect squares
Factor/Multiple
Even/Odd
Similar Triangles
Simplifying Square Roots
21. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Combined Percent Increase and Decrease
Parallel Lines and Transversals
Area of a Sector
Finding the Missing Number
22. 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)
Factor/Multiple
Union of Sets
Area of a Sector
Pythagorean Theorem
23. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Adding/Subtracting Signed Numbers
Intersection of sets
Dividing Fractions
Solving an Inequality
24. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
Median and Mode
Adding/Subtracting Fractions
Using an Equation to Find an Intercept
25. 1. Re-express them with common denominators 2. Convert them to decimals
Comparing Fractions
Interior and Exterior Angles of a Triangle
Multiplying and Dividing Roots
Reducing Fractions
26. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Area of a Sector
Multiples of 2 and 4
Factor/Multiple
Intersecting Lines
27. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Surface Area of a Rectangular Solid
Adding/Subtracting Fractions
Greatest Common Factor
Intersecting Lines
28. 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
Prime Factorization
Greatest Common Factor
Intersecting Lines
Interior and Exterior Angles of a Triangle
29. Probability= Favorable Outcomes/Total Possible Outcomes
Probability
Isosceles and Equilateral triangles
Using an Equation to Find the Slope
Number Categories
30. 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
Setting up a Ratio
Solving a Proportion
Reducing Fractions
31. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Average Rate
Identifying the Parts and the Whole
Direct and Inverse Variation
32. 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
Direct and Inverse Variation
Intersection of sets
Setting up a Ratio
33. Sum=(Average) x (Number of Terms)
Area of a Sector
Using the Average to Find the Sum
Characteristics of a Parallelogram
Prime Factorization
34. 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
Using Two Points to Find the Slope
Multiples of 2 and 4
Adding/Subtracting Signed Numbers
Multiples of 3 and 9
35. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Negative Exponent and Rational Exponent
Prime Factorization
Finding the Missing Number
Average of Evenly Spaced Numbers
36. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Parallel Lines and Transversals
Solving an Inequality
Evaluating an Expression
Average Rate
37. 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
Multiplying/Dividing Signed Numbers
Multiplying and Dividing Powers
Finding the Missing Number
Multiples of 2 and 4
38. Surface Area = 2lw + 2wh + 2lh
Intersection of sets
The 5-12-13 Triangle
Exponential Growth
Surface Area of a Rectangular Solid
39. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Part-to-Part Ratios and Part-to-Whole Ratios
Finding the Original Whole
Setting up a Ratio
Triangle Inequality Theorem
40. 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
Domain and Range of a Function
Percent Formula
Mixed Numbers and Improper Fractions
Multiplying and Dividing Roots
41. Multiply the exponents
Characteristics of a Square
Finding the Original Whole
Negative Exponent and Rational Exponent
Raising Powers to Powers
42. To multiply fractions - multiply the numerators and multiply the denominators
Multiplying Fractions
Using an Equation to Find the Slope
Multiplying Monomials
Finding the Distance Between Two Points
43. To solve a proportion - cross multiply
Average of Evenly Spaced Numbers
Multiples of 2 and 4
Solving a Proportion
Simplifying Square Roots
44. 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
Evaluating an Expression
The 5-12-13 Triangle
Average Formula -
Prime Factorization
45. 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
Even/Odd
Triangle Inequality Theorem
Characteristics of a Rectangle
Multiplying and Dividing Powers
46. Subtract the smallest from the largest and add 1
The 3-4-5 Triangle
Reducing Fractions
Counting Consecutive Integers
Characteristics of a Square
47. (average of the x coordinates - average of the y coordinates)
Multiplying and Dividing Roots
Finding the Missing Number
Finding the midpoint
Adding and Subtracting Roots
48. A square is a rectangle with four equal sides; Area of Square = side*side
Part-to-Part Ratios and Part-to-Whole Ratios
Characteristics of a Square
Average Formula -
Union of Sets
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
Multiplying/Dividing Signed Numbers
Counting the Possibilities
Even/Odd
Using Two Points to Find the Slope
50. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Domain and Range of a Function
Mixed Numbers and Improper Fractions
The 3-4-5 Triangle
Multiples of 3 and 9