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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Study First
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. Add the exponents and keep the same base
Interior Angles of a Polygon
Using Two Points to Find the Slope
Isosceles and Equilateral triangles
Multiplying and Dividing Powers
2. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Parallel Lines and Transversals
Intersecting Lines
Number Categories
Pythagorean Theorem
3. 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
Setting up a Ratio
Exponential Growth
Repeating Decimal
Solving a Proportion
4. To divide fractions - invert the second one and multiply
Interior and Exterior Angles of a Triangle
Dividing Fractions
Part-to-Part Ratios and Part-to-Whole Ratios
Relative Primes
5. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Triangle Inequality Theorem
Multiplying Monomials
Finding the Original Whole
Using an Equation to Find the Slope
6. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Isosceles and Equilateral triangles
Average Formula -
Finding the Missing Number
Counting the Possibilities
7. 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
Characteristics of a Parallelogram
Multiplying and Dividing Roots
Isosceles and Equilateral triangles
Multiplying Monomials
8. Multiply the exponents
Raising Powers to Powers
Number Categories
Multiplying/Dividing Signed Numbers
Average of Evenly Spaced Numbers
9. 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
Rate
Multiples of 3 and 9
Characteristics of a Square
10. 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
Identifying the Parts and the Whole
Comparing Fractions
Adding/Subtracting Fractions
Adding/Subtracting Signed Numbers
11. Change in y/ change in x rise/run
Volume of a Cylinder
Volume of a Rectangular Solid
Median and Mode
Using Two Points to Find the Slope
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
Average Rate
Intersection of sets
Counting Consecutive Integers
13. 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
Volume of a Cylinder
Intersecting Lines
Even/Odd
Percent Formula
14. 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
Mixed Numbers and Improper Fractions
Reciprocal
Direct and Inverse Variation
Function - Notation - and Evaulation
15. 2pr
Raising Powers to Powers
Circumference of a Circle
Characteristics of a Rectangle
Dividing Fractions
16. 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
Adding and Subtracting Roots
Adding/Subtracting Signed Numbers
The 3-4-5 Triangle
Dividing Fractions
17. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
PEMDAS
Percent Increase and Decrease
Characteristics of a Rectangle
Finding the Distance Between Two Points
18. 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
Exponential Growth
Raising Powers to Powers
Characteristics of a Rectangle
Solving a Quadratic Equation
19. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Solving a Proportion
Finding the Distance Between Two Points
Adding/Subtracting Signed Numbers
Determining Absolute Value
20. 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
Multiplying Fractions
Simplifying Square Roots
Interior Angles of a Polygon
21. 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
Reciprocal
Rate
Identifying the Parts and the Whole
Adding/Subtracting Fractions
22. 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
Multiples of 2 and 4
Area of a Sector
Relative Primes
Even/Odd
23. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Probability
Reducing Fractions
Volume of a Cylinder
Intersecting Lines
24. Part = Percent x Whole
Multiplying Monomials
Mixed Numbers and Improper Fractions
Characteristics of a Square
Percent Formula
25. 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
Adding and Subtracting Roots
Percent Increase and Decrease
The 3-4-5 Triangle
Area of a Sector
26. 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
Isosceles and Equilateral triangles
PEMDAS
The 5-12-13 Triangle
Using an Equation to Find an Intercept
27. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Counting Consecutive Integers
Greatest Common Factor
Interior Angles of a Polygon
28. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
(Least) Common Multiple
Tangency
Identifying the Parts and the Whole
Volume of a Rectangular Solid
29. The largest factor that two or more numbers have in common.
Greatest Common Factor
Average Formula -
Tangency
Number Categories
30. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Average Rate
Adding and Subtracting monomials
Triangle Inequality Theorem
PEMDAS
31. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Counting Consecutive Integers
Circumference of a Circle
PEMDAS
Interior Angles of a Polygon
32. 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
Combined Percent Increase and Decrease
Even/Odd
Multiplying and Dividing Roots
33. Probability= Favorable Outcomes/Total Possible Outcomes
Length of an Arc
Probability
Average Rate
Median and Mode
34. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Remainders
Evaluating an Expression
Determining Absolute Value
Number Categories
35. 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
Finding the Missing Number
Reducing Fractions
Solving a Proportion
Using the Average to Find the Sum
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
Area of a Sector
Union of Sets
Part-to-Part Ratios and Part-to-Whole Ratios
Interior and Exterior Angles of a Triangle
37. Factor out the perfect squares
Surface Area of a Rectangular Solid
Simplifying Square Roots
Reducing Fractions
Prime Factorization
38. Combine like terms
Adding and Subtraction Polynomials
Finding the Distance Between Two Points
Reducing Fractions
Adding and Subtracting Roots
39. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Multiplying and Dividing Roots
Length of an Arc
Direct and Inverse Variation
Adding and Subtraction Polynomials
40. Surface Area = 2lw + 2wh + 2lh
Reducing Fractions
Evaluating an Expression
Multiplying Fractions
Surface Area of a Rectangular Solid
41. Subtract the smallest from the largest and add 1
Repeating Decimal
Function - Notation - and Evaulation
Combined Percent Increase and Decrease
Counting Consecutive Integers
42. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Repeating Decimal
Adding and Subtracting monomials
Median and Mode
Length of an Arc
43. The whole # left over after division
Average Rate
Using an Equation to Find an Intercept
Area of a Triangle
Remainders
44. To find the reciprocal of a fraction switch the numerator and the denominator
Average Rate
Reciprocal
Multiplying Monomials
Evaluating an Expression
45. (average of the x coordinates - average of the y coordinates)
Finding the Original Whole
Remainders
Finding the Distance Between Two Points
Finding the midpoint
46. Domain: all possible values of x for a function range: all possible outputs of a function
Identifying the Parts and the Whole
Area of a Triangle
Adding/Subtracting Fractions
Domain and Range of a Function
47. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Average Formula -
Combined Percent Increase and Decrease
Finding the Distance Between Two Points
Greatest Common Factor
48. 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
Average Rate
Counting the Possibilities
Solving a Proportion
Solving an Inequality
49. 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
Direct and Inverse Variation
Length of an Arc
Part-to-Part Ratios and Part-to-Whole Ratios
Volume of a Cylinder
50. 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
Using Two Points to Find the Slope
Surface Area of a Rectangular Solid
Isosceles and Equilateral triangles
Finding the Original Whole