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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. pr^2
Adding/Subtracting Signed Numbers
Intersection of sets
Area of a Circle
Rate
2. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Number Categories
Finding the Original Whole
Dividing Fractions
Adding/Subtracting Fractions
3. The whole # left over after division
Remainders
Area of a Circle
Median and Mode
Solving an Inequality
4. Subtract the smallest from the largest and add 1
Multiplying and Dividing Roots
Identifying the Parts and the Whole
Counting Consecutive Integers
Percent Formula
5. Multiply the exponents
Adding/Subtracting Fractions
Adding/Subtracting Signed Numbers
Raising Powers to Powers
Pythagorean Theorem
6. Domain: all possible values of x for a function range: all possible outputs of a function
Relative Primes
Identifying the Parts and the Whole
Domain and Range of a Function
Average Rate
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
Using Two Points to Find the Slope
Exponential Growth
Parallel Lines and Transversals
Relative Primes
8. The smallest multiple (other than zero) that two or more numbers have in common.
Average Rate
(Least) Common Multiple
Relative Primes
Adding and Subtracting Roots
9. 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
Remainders
The 5-12-13 Triangle
Using an Equation to Find an Intercept
Number Categories
10. 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
Finding the midpoint
Direct and Inverse Variation
Even/Odd
Triangle Inequality Theorem
11. 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
Number Categories
Multiples of 2 and 4
Probability
Multiplying/Dividing Signed Numbers
12. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Using an Equation to Find an Intercept
Probability
Characteristics of a Rectangle
Isosceles and Equilateral triangles
13. To divide fractions - invert the second one and multiply
Function - Notation - and Evaulation
Counting Consecutive Integers
Dividing Fractions
Solving a Quadratic Equation
14. 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
Direct and Inverse Variation
Combined Percent Increase and Decrease
Parallel Lines and Transversals
Solving a Proportion
15. 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
(Least) Common Multiple
Circumference of a Circle
Repeating Decimal
Adding and Subtraction Polynomials
16. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Exponential Growth
Reducing Fractions
Evaluating an Expression
Combined Percent Increase and Decrease
17. Add the exponents and keep the same base
Evaluating an Expression
Using Two Points to Find the Slope
Multiplying and Dividing Roots
Multiplying and Dividing Powers
18. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Adding/Subtracting Fractions
Pythagorean Theorem
Multiplying/Dividing Signed Numbers
19. For all right triangles: a^2+b^2=c^2
Adding and Subtracting Roots
Pythagorean Theorem
Area of a Sector
Function - Notation - and Evaulation
20. 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
Reciprocal
Triangle Inequality Theorem
Even/Odd
Factor/Multiple
21. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Solving an Inequality
Solving a System of Equations
Probability
Median and Mode
22. Surface Area = 2lw + 2wh + 2lh
Percent Formula
Surface Area of a Rectangular Solid
Relative Primes
Average Rate
23. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Multiplying Monomials
Area of a Triangle
Union of Sets
Remainders
24. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Surface Area of a Rectangular Solid
Intersection of sets
Percent Formula
Area of a Sector
25. 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
Finding the Distance Between Two Points
Area of a Circle
Using the Average to Find the Sum
26. 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
Multiplying Fractions
Area of a Sector
Part-to-Part Ratios and Part-to-Whole Ratios
27. 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
Remainders
Rate
Multiplying/Dividing Signed Numbers
Counting the Possibilities
28. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Direct and Inverse Variation
Domain and Range of a Function
Function - Notation - and Evaulation
Multiplying Monomials
29. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Multiplying/Dividing Signed Numbers
Simplifying Square Roots
Average Rate
Characteristics of a Rectangle
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
Using an Equation to Find an Intercept
Adding and Subtracting monomials
Dividing Fractions
Negative Exponent and Rational Exponent
31. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Interior Angles of a Polygon
Adding/Subtracting Fractions
Reciprocal
Evaluating an Expression
32. 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.
Comparing Fractions
Combined Percent Increase and Decrease
Number Categories
PEMDAS
33. 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
Adding/Subtracting Signed Numbers
Characteristics of a Parallelogram
Volume of a Cylinder
Setting up a Ratio
34. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Volume of a Rectangular Solid
Combined Percent Increase and Decrease
Remainders
Solving a Proportion
35. To multiply fractions - multiply the numerators and multiply the denominators
Multiplying Fractions
Area of a Triangle
Counting the Possibilities
Function - Notation - and Evaulation
36. Part = Percent x Whole
Using an Equation to Find an Intercept
Percent Formula
Solving an Inequality
Finding the Distance Between Two Points
37. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Parallel Lines and Transversals
Adding and Subtracting Roots
Setting up a Ratio
Exponential Growth
38. 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
Finding the Original Whole
Isosceles and Equilateral triangles
Number Categories
Mixed Numbers and Improper Fractions
39. 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
Finding the Distance Between Two Points
Negative Exponent and Rational Exponent
Relative Primes
Volume of a Cylinder
40. 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
Evaluating an Expression
Multiplying and Dividing Powers
Adding/Subtracting Fractions
Interior and Exterior Angles of a Triangle
41. To solve a proportion - cross multiply
Repeating Decimal
(Least) Common Multiple
Solving a Proportion
Solving an Inequality
42. 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
Repeating Decimal
Determining Absolute Value
Reciprocal
Area of a Triangle
43. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Average of Evenly Spaced Numbers
Parallel Lines and Transversals
Determining Absolute Value
Isosceles and Equilateral triangles
44. Factor out the perfect squares
Combined Percent Increase and Decrease
Adding/Subtracting Signed Numbers
Multiplying Fractions
Simplifying Square Roots
45. Combine equations in such a way that one of the variables cancel out
Solving a Quadratic Equation
Comparing Fractions
Solving a System of Equations
Probability
46. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
The 3-4-5 Triangle
Average Formula -
Multiplying and Dividing Roots
Multiples of 2 and 4
47. A square is a rectangle with four equal sides; Area of Square = side*side
Isosceles and Equilateral triangles
Multiplying and Dividing Roots
Characteristics of a Square
PEMDAS
48. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Relative Primes
Multiplying/Dividing Signed Numbers
Percent Increase and Decrease
Intersecting Lines
49. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Number Categories
Area of a Triangle
Negative Exponent and Rational Exponent
Using an Equation to Find the Slope
50. 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
Finding the Original Whole
Mixed Numbers and Improper Fractions
Adding/Subtracting Signed Numbers
Negative Exponent and Rational Exponent