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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. Factor out the perfect squares
Even/Odd
Probability
Simplifying Square Roots
Multiplying Fractions
2. 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.
Solving a System of Equations
Intersecting Lines
Number Categories
Using the Average to Find the Sum
3. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Intersection of sets
Characteristics of a Rectangle
Using an Equation to Find the Slope
Adding and Subtracting monomials
4. Sum=(Average) x (Number of Terms)
Rate
Greatest Common Factor
Negative Exponent and Rational Exponent
Using the Average to Find the Sum
5. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Median and Mode
Multiplying and Dividing Roots
Remainders
Isosceles and Equilateral triangles
6. 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
Reciprocal
Negative Exponent and Rational Exponent
Average Formula -
Percent Increase and Decrease
7. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Parallel Lines and Transversals
Even/Odd
Remainders
Tangency
8. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
Raising Powers to Powers
Factor/Multiple
Relative Primes
9. 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
Counting the Possibilities
Relative Primes
Determining Absolute Value
Surface Area of a Rectangular Solid
10. Part = Percent x Whole
Tangency
Domain and Range of a Function
Solving a Quadratic Equation
Percent Formula
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)
Length of an Arc
Identifying the Parts and the Whole
Reducing Fractions
Counting Consecutive Integers
12. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Solving an Inequality
Characteristics of a Rectangle
Parallel Lines and Transversals
13. (average of the x coordinates - average of the y coordinates)
Finding the midpoint
The 3-4-5 Triangle
Reciprocal
Median and Mode
14. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
PEMDAS
Negative Exponent and Rational Exponent
Union of Sets
Isosceles and Equilateral triangles
15. Surface Area = 2lw + 2wh + 2lh
Dividing Fractions
Surface Area of a Rectangular Solid
Using the Average to Find the Sum
Greatest Common Factor
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
Prime Factorization
The 3-4-5 Triangle
The 5-12-13 Triangle
Solving an Inequality
17. The whole # left over after division
Remainders
Surface Area of a Rectangular Solid
PEMDAS
Circumference of a Circle
18. 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
Reciprocal
Negative Exponent and Rational Exponent
Using an Equation to Find the Slope
19. 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 and Dividing Roots
Surface Area of a Rectangular Solid
Characteristics of a Square
Finding the Missing Number
20. Volume of a Cylinder = pr^2h
Union of Sets
Volume of a Cylinder
Finding the midpoint
Multiples of 3 and 9
21. 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
PEMDAS
Triangle Inequality Theorem
Simplifying Square Roots
Area of a Triangle
22. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Counting the Possibilities
Finding the midpoint
Evaluating an Expression
PEMDAS
23. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Counting the Possibilities
Interior Angles of a Polygon
PEMDAS
Multiplying Fractions
24. To multiply fractions - multiply the numerators and multiply the denominators
Multiplying/Dividing Signed Numbers
Raising Powers to Powers
Multiplying Fractions
Repeating Decimal
25. The smallest multiple (other than zero) that two or more numbers have in common.
Identifying the Parts and the Whole
Comparing Fractions
(Least) Common Multiple
Triangle Inequality Theorem
26. The largest factor that two or more numbers have in common.
Greatest Common Factor
(Least) Common Multiple
Adding and Subtraction Polynomials
The 5-12-13 Triangle
27. 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
Circumference of a Circle
Tangency
Part-to-Part Ratios and Part-to-Whole Ratios
Isosceles and Equilateral triangles
28. 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
Multiplying Fractions
Greatest Common Factor
Characteristics of a Parallelogram
Volume of a Cylinder
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
Adding and Subtracting monomials
Area of a Triangle
Domain and Range of a Function
Multiplying/Dividing Signed Numbers
30. 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)
Area of a Sector
Dividing Fractions
Using an Equation to Find the Slope
Probability
31. 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
Adding and Subtracting monomials
Even/Odd
Interior Angles of a Polygon
Repeating Decimal
32. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Percent Increase and Decrease
Determining Absolute Value
Area of a Circle
Prime Factorization
33. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Intersecting Lines
Greatest Common Factor
Solving an Inequality
Multiplying Monomials
34. Probability= Favorable Outcomes/Total Possible Outcomes
Circumference of a Circle
Mixed Numbers and Improper Fractions
Probability
Multiplying/Dividing Signed Numbers
35. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
Multiplying/Dividing Signed Numbers
Union of Sets
Parallel Lines and Transversals
36. Combine equations in such a way that one of the variables cancel out
Using the Average to Find the Sum
Solving a System of Equations
Factor/Multiple
Reciprocal
37. Change in y/ change in x rise/run
Multiples of 3 and 9
Using Two Points to Find the Slope
Area of a Circle
Multiplying Fractions
38. 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
Characteristics of a Square
Multiplying Fractions
Solving a Quadratic Equation
39. 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
The 5-12-13 Triangle
Volume of a Cylinder
Pythagorean Theorem
Identifying the Parts and the Whole
40. 2pr
Finding the Distance Between Two Points
Circumference of a Circle
The 5-12-13 Triangle
Triangle Inequality Theorem
41. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Rate
Solving a Quadratic Equation
Surface Area of a Rectangular Solid
Pythagorean Theorem
42. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Mixed Numbers and Improper Fractions
Comparing Fractions
43. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Finding the Distance Between Two Points
Triangle Inequality Theorem
Average Formula -
Intersecting Lines
44. 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
Combined Percent Increase and Decrease
Isosceles and Equilateral triangles
Solving a Proportion
Finding the Original Whole
45. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Interior and Exterior Angles of a Triangle
Counting the Possibilities
46. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Function - Notation - and Evaulation
Setting up a Ratio
Interior and Exterior Angles of a Triangle
Average Rate
47. 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
Finding the Original Whole
Characteristics of a Rectangle
Intersecting Lines
48. 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
Multiples of 2 and 4
Triangle Inequality Theorem
Rate
Characteristics of a Rectangle
49. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Surface Area of a Rectangular Solid
Determining Absolute Value
Factor/Multiple
Probability
50. To solve a proportion - cross multiply
Percent Increase and Decrease
Percent Formula
Triangle Inequality Theorem
Solving a Proportion