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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. The whole # left over after division
Interior Angles of a Polygon
Remainders
Tangency
Solving an Inequality
2. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Function - Notation - and Evaulation
Number Categories
Intersecting Lines
Part-to-Part Ratios and Part-to-Whole Ratios
3. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Solving an Inequality
Multiplying and Dividing Powers
Finding the Distance Between Two Points
Multiples of 3 and 9
4. pr^2
PEMDAS
Area of a Circle
Multiplying Fractions
Solving a Proportion
5. To divide fractions - invert the second one and multiply
Counting Consecutive Integers
Determining Absolute Value
Dividing Fractions
Adding and Subtraction Polynomials
6. For all right triangles: a^2+b^2=c^2
Intersection of sets
Simplifying Square Roots
Mixed Numbers and Improper Fractions
Pythagorean Theorem
7. 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
Multiplying and Dividing Powers
Adding and Subtracting monomials
The 3-4-5 Triangle
The 5-12-13 Triangle
8. 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
Domain and Range of a Function
Using Two Points to Find the Slope
Rate
Adding/Subtracting Fractions
9. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Interior Angles of a Polygon
Volume of a Cylinder
Surface Area of a Rectangular Solid
Evaluating an Expression
10. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Using the Average to Find the Sum
Reciprocal
Parallel Lines and Transversals
Determining Absolute Value
11. 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
Characteristics of a Rectangle
Number Categories
Direct and Inverse Variation
Median and Mode
12. 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
Parallel Lines and Transversals
Part-to-Part Ratios and Part-to-Whole Ratios
Domain and Range of a Function
The 3-4-5 Triangle
13. To multiply fractions - multiply the numerators and multiply the denominators
Area of a Circle
Multiplying Fractions
Surface Area of a Rectangular Solid
Parallel Lines and Transversals
14. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Dividing Fractions
Function - Notation - and Evaulation
Adding and Subtraction Polynomials
Intersection of sets
15. 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
Determining Absolute Value
Repeating Decimal
Percent Increase and Decrease
Area of a Triangle
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
Tangency
Finding the Missing Number
Intersection of sets
The 5-12-13 Triangle
17. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Negative Exponent and Rational Exponent
Characteristics of a Square
Union of Sets
Finding the midpoint
18. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Relative Primes
Isosceles and Equilateral triangles
Median and Mode
Probability
19. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Raising Powers to Powers
Using an Equation to Find the Slope
Evaluating an Expression
Dividing Fractions
20. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Intersection of sets
Pythagorean Theorem
Determining Absolute Value
Factor/Multiple
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
Triangle Inequality Theorem
Simplifying Square Roots
Greatest Common Factor
Reducing Fractions
22. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Adding/Subtracting Fractions
Multiplying Monomials
Finding the Original Whole
Multiplying and Dividing Powers
23. Change in y/ change in x rise/run
Adding and Subtraction Polynomials
Average Rate
Area of a Sector
Using Two Points to Find the Slope
24. 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
Probability
Even/Odd
Area of a Circle
Isosceles and Equilateral triangles
25. Combine like terms
Area of a Sector
Multiplying and Dividing Powers
Area of a Circle
Adding and Subtraction Polynomials
26. 1. Re-express them with common denominators 2. Convert them to decimals
Area of a Sector
Counting Consecutive Integers
Multiples of 2 and 4
Comparing Fractions
27. Multiply the exponents
Pythagorean Theorem
Raising Powers to Powers
Parallel Lines and Transversals
Counting Consecutive Integers
28. 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
Characteristics of a Square
Combined Percent Increase and Decrease
Median and Mode
Isosceles and Equilateral triangles
29. 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
Area of a Triangle
Setting up a Ratio
Negative Exponent and Rational Exponent
Comparing Fractions
30. 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
Exponential Growth
Area of a Sector
Using an Equation to Find an Intercept
Adding/Subtracting Fractions
31. A square is a rectangle with four equal sides; Area of Square = side*side
Pythagorean Theorem
Comparing Fractions
Characteristics of a Square
Raising Powers to Powers
32. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Tangency
Part-to-Part Ratios and Part-to-Whole Ratios
Characteristics of a Rectangle
Interior and Exterior Angles of a Triangle
33. 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
Mixed Numbers and Improper Fractions
Reciprocal
Determining Absolute Value
Repeating Decimal
34. Subtract the smallest from the largest and add 1
Parallel Lines and Transversals
Multiplying Monomials
Counting Consecutive Integers
Union of Sets
35. Add the exponents and keep the same base
Direct and Inverse Variation
Dividing Fractions
Multiplying and Dividing Powers
Using an Equation to Find the Slope
36. To find the reciprocal of a fraction switch the numerator and the denominator
Reciprocal
Finding the Original Whole
Average Formula -
Characteristics of a Rectangle
37. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Area of a Circle
Identifying the Parts and the Whole
Adding and Subtracting monomials
Factor/Multiple
38. 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
Percent Increase and Decrease
Average of Evenly Spaced Numbers
Adding/Subtracting Signed Numbers
Multiplying and Dividing Roots
39. 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
Characteristics of a Rectangle
Counting the Possibilities
Surface Area of a Rectangular Solid
40. 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
The 3-4-5 Triangle
Percent Increase and Decrease
Using the Average to Find the Sum
41. Sum=(Average) x (Number of Terms)
Negative Exponent and Rational Exponent
Adding and Subtracting monomials
Solving an Inequality
Using the Average to Find the Sum
42. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Interior Angles of a Polygon
Average Formula -
The 5-12-13 Triangle
Repeating Decimal
43. Factor out the perfect squares
Using the Average to Find the Sum
Simplifying Square Roots
Median and Mode
Union of Sets
44. (average of the x coordinates - average of the y coordinates)
Solving a System of Equations
Length of an Arc
Finding the midpoint
Adding and Subtracting Roots
45. The smallest multiple (other than zero) that two or more numbers have in common.
Function - Notation - and Evaulation
The 5-12-13 Triangle
(Least) Common Multiple
Simplifying Square Roots
46. Probability= Favorable Outcomes/Total Possible Outcomes
Parallel Lines and Transversals
Probability
Greatest Common Factor
Part-to-Part Ratios and Part-to-Whole Ratios
47. 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)
Interior and Exterior Angles of a Triangle
Solving a System of Equations
Rate
Length of an Arc
48. 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
Interior Angles of a Polygon
Characteristics of a Parallelogram
Percent Formula
Finding the midpoint
49. The largest factor that two or more numbers have in common.
Exponential Growth
Part-to-Part Ratios and Part-to-Whole Ratios
Greatest Common Factor
Adding/Subtracting Signed Numbers
50. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Greatest Common Factor
Area of a Circle
Adding/Subtracting Fractions
Interior Angles of a Polygon