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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. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Counting Consecutive Integers
Union of Sets
Characteristics of a Square
Factor/Multiple
2. To solve a proportion - cross multiply
Solving a Proportion
Average Rate
PEMDAS
Greatest Common Factor
3. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Median and Mode
Using an Equation to Find the Slope
Average of Evenly Spaced Numbers
Finding the midpoint
4. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Isosceles and Equilateral triangles
Multiplying and Dividing Roots
PEMDAS
Dividing Fractions
5. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Counting the Possibilities
Volume of a Rectangular Solid
Average Rate
Intersecting Lines
6. 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
Solving an Inequality
Interior and Exterior Angles of a Triangle
The 5-12-13 Triangle
Area of a Sector
7. Change in y/ change in x rise/run
PEMDAS
Using Two Points to Find the Slope
Isosceles and Equilateral triangles
Mixed Numbers and Improper Fractions
8. 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
Even/Odd
Solving a Quadratic Equation
Percent Increase and Decrease
Determining Absolute Value
9. Combine like terms
Adding and Subtraction Polynomials
Finding the midpoint
Raising Powers to Powers
Dividing Fractions
10. Start with 100 as a starting value - Example: A price rises by 10% one year and by 20% the next. What's the combined percent increase? - Say the original price is $100. Year one: $100 + (10% of 100) = 100 + 10 = 110 Year two: 110 + (20% of 110) = 110
Finding the Distance Between Two Points
Combined Percent Increase and Decrease
Intersecting Lines
Multiplying and Dividing Powers
11. 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)
Setting up a Ratio
Length of an Arc
Even/Odd
Multiplying and Dividing Powers
12. 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
Factor/Multiple
Using an Equation to Find an Intercept
Mixed Numbers and Improper Fractions
Raising Powers to Powers
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
Solving a Quadratic Equation
Negative Exponent and Rational Exponent
Characteristics of a Square
Isosceles and Equilateral triangles
14. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Intersection of sets
Similar Triangles
Volume of a Rectangular Solid
Characteristics of a Rectangle
15. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Part-to-Part Ratios and Part-to-Whole Ratios
Multiplying and Dividing Roots
Multiplying and Dividing Powers
Mixed Numbers and Improper Fractions
16. 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
Multiplying and Dividing Powers
The 5-12-13 Triangle
Raising Powers to Powers
Combined Percent Increase and Decrease
17. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Using an Equation to Find an Intercept
Characteristics of a Rectangle
Interior Angles of a Polygon
Combined Percent Increase and Decrease
18. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Solving a System of Equations
Prime Factorization
Using an Equation to Find the Slope
Repeating Decimal
19. The whole # left over after division
Greatest Common Factor
Reciprocal
Repeating Decimal
Remainders
20. 1. Re-express them with common denominators 2. Convert them to decimals
Comparing Fractions
Characteristics of a Square
Raising Powers to Powers
Dividing Fractions
21. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Reducing Fractions
Multiplying/Dividing Signed Numbers
Solving a Proportion
Identifying the Parts and the Whole
22. 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
Relative Primes
Exponential Growth
Finding the midpoint
23. 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
Mixed Numbers and Improper Fractions
The 5-12-13 Triangle
Multiples of 2 and 4
24. Factor out the perfect squares
Dividing Fractions
Determining Absolute Value
Simplifying Square Roots
Area of a Circle
25. 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
Solving a Quadratic Equation
Even/Odd
Repeating Decimal
Median and Mode
26. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Adding/Subtracting Signed Numbers
Adding and Subtraction Polynomials
Reducing Fractions
Determining Absolute Value
27. 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
Simplifying Square Roots
Triangle Inequality Theorem
Even/Odd
Exponential Growth
28. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Intersection of sets
Domain and Range of a Function
Interior and Exterior Angles of a Triangle
PEMDAS
29. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Multiplying Fractions
Adding and Subtracting monomials
Finding the midpoint
Prime Factorization
30. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Solving an Inequality
Parallel Lines and Transversals
Relative Primes
Reciprocal
31. you can add/subtract when the part under the radical is the same
Function - Notation - and Evaulation
Parallel Lines and Transversals
Number Categories
Adding and Subtracting Roots
32. The smallest multiple (other than zero) that two or more numbers have in common.
Volume of a Rectangular Solid
The 3-4-5 Triangle
(Least) Common Multiple
Prime Factorization
33. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Simplifying Square Roots
PEMDAS
Similar Triangles
Percent Formula
34. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Number Categories
Probability
Counting Consecutive Integers
Adding/Subtracting Fractions
35. To divide fractions - invert the second one and multiply
Dividing Fractions
Characteristics of a Parallelogram
Reciprocal
Multiplying/Dividing Signed Numbers
36. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Finding the midpoint
Multiplying Monomials
(Least) Common Multiple
Characteristics of a Parallelogram
37. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Multiples of 2 and 4
Average Formula -
Function - Notation - and Evaulation
Union of Sets
38. Add the exponents and keep the same base
Circumference of a Circle
Multiplying and Dividing Powers
Finding the Original Whole
Part-to-Part Ratios and Part-to-Whole Ratios
39. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Reducing Fractions
Tangency
Intersection of sets
Solving an Inequality
40. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Intersecting Lines
Finding the midpoint
Multiplying Monomials
Characteristics of a Rectangle
41. 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
Simplifying Square Roots
Area of a Sector
Solving an Inequality
Negative Exponent and Rational Exponent
42. To multiply fractions - multiply the numerators and multiply the denominators
Parallel Lines and Transversals
Characteristics of a Parallelogram
Multiplying Fractions
Multiplying and Dividing Roots
43. A parallelogram has two pairs of parallel sides - opposite sides are equal - opposite angles are equal - consecutive angles add up to 180 degrees; Area of Parallelogram = base x height
Remainders
Characteristics of a Parallelogram
Reducing Fractions
Prime Factorization
44. Sum=(Average) x (Number of Terms)
Volume of a Rectangular Solid
Using the Average to Find the Sum
Exponential Growth
Adding and Subtracting Roots
45. 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
The 3-4-5 Triangle
Interior Angles of a Polygon
Multiples of 2 and 4
Solving an Inequality
46. 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)
Average Formula -
Area of a Sector
Reciprocal
Multiplying Monomials
47. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Similar Triangles
Solving a System of Equations
Finding the Distance Between Two Points
Raising Powers to Powers
48. 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
Repeating Decimal
Using an Equation to Find an Intercept
Mixed Numbers and Improper Fractions
Using the Average to Find the Sum
49. To find the reciprocal of a fraction switch the numerator and the denominator
Relative Primes
Intersection of sets
Reciprocal
Adding/Subtracting Fractions
50. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Area of a Sector
Simplifying Square Roots
Characteristics of a Rectangle
Exponential Growth