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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. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Prime Factorization
Repeating Decimal
Volume of a Rectangular Solid
Area of a Sector
2. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Finding the midpoint
Intersecting Lines
Characteristics of a Rectangle
PEMDAS
3. Subtract the smallest from the largest and add 1
Length of an Arc
Counting Consecutive Integers
Finding the Original Whole
Determining Absolute Value
4. 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
Interior and Exterior Angles of a Triangle
Rate
Isosceles and Equilateral triangles
Direct and Inverse Variation
5. 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
Percent Increase and Decrease
Interior and Exterior Angles of a Triangle
Using an Equation to Find the Slope
Multiplying Fractions
6. The whole # left over after division
Multiples of 2 and 4
Remainders
Average of Evenly Spaced Numbers
Setting up a Ratio
7. 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
Dividing Fractions
Finding the Original Whole
Volume of a Rectangular Solid
8. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Interior and Exterior Angles of a Triangle
The 5-12-13 Triangle
Multiplying/Dividing Signed Numbers
Evaluating an Expression
9. 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
Area of a Sector
Probability
The 5-12-13 Triangle
Area of a Circle
10. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Adding/Subtracting Fractions
Determining Absolute Value
Interior Angles of a Polygon
Finding the Distance Between Two Points
11. 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
Remainders
Intersecting Lines
Function - Notation - and Evaulation
Combined Percent Increase and Decrease
12. The smallest multiple (other than zero) that two or more numbers have in common.
(Least) Common Multiple
Simplifying Square Roots
Union of Sets
Percent Increase and Decrease
13. 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
Setting up a Ratio
Combined Percent Increase and Decrease
The 3-4-5 Triangle
Solving a System of Equations
14. 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
Finding the Distance Between Two Points
Multiplying Fractions
Reciprocal
15. 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
Finding the Distance Between Two Points
Reducing Fractions
Tangency
16. Add the exponents and keep the same base
Multiplying and Dividing Powers
Average Rate
Raising Powers to Powers
Function - Notation - and Evaulation
17. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Rate
Average of Evenly Spaced Numbers
Part-to-Part Ratios and Part-to-Whole Ratios
Percent Formula
18. This is the key to solving most fraction and percent word problems. Part is usually associated with the word is/are and whole is associated with the word of. Example: 'half of the boys are blonds' whole: all of the boys part: blonds
Simplifying Square Roots
Parallel Lines and Transversals
Identifying the Parts and the Whole
Greatest Common Factor
19. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Prime Factorization
Reducing Fractions
Adding and Subtracting Roots
Union of Sets
20. 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
Mixed Numbers and Improper Fractions
Dividing Fractions
Multiplying Monomials
21. 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)
Mixed Numbers and Improper Fractions
PEMDAS
Length of an Arc
Comparing Fractions
22. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Adding and Subtracting monomials
Intersecting Lines
Average of Evenly Spaced Numbers
Evaluating an Expression
23. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Union of Sets
Evaluating an Expression
Percent Increase and Decrease
PEMDAS
24. To solve a proportion - cross multiply
Solving a Proportion
Evaluating an Expression
Characteristics of a Rectangle
Volume of a Rectangular Solid
25. 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
Multiplying Monomials
Circumference of a Circle
Finding the Distance Between Two Points
Isosceles and Equilateral triangles
26. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Average of Evenly Spaced Numbers
Volume of a Rectangular Solid
Exponential Growth
Setting up a Ratio
27. Multiply the exponents
Finding the midpoint
Even/Odd
Adding and Subtracting monomials
Raising Powers to Powers
28. 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
Prime Factorization
Solving a Quadratic Equation
Using an Equation to Find the Slope
Negative Exponent and Rational Exponent
29. Volume of a Cylinder = pr^2h
Tangency
Adding and Subtracting Roots
Volume of a Cylinder
Circumference of a Circle
30. 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
Finding the Original Whole
Probability
Relative Primes
Identifying the Parts and the Whole
31. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Similar Triangles
Surface Area of a Rectangular Solid
Domain and Range of a Function
Repeating Decimal
32. 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
Adding and Subtraction Polynomials
Counting the Possibilities
Solving an Inequality
Greatest Common Factor
33. Change in y/ change in x rise/run
Reciprocal
Circumference of a Circle
Using Two Points to Find the Slope
Solving a Proportion
34. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Solving a Proportion
Intersection of sets
Finding the Distance Between Two Points
Solving a System of Equations
35. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
(Least) Common Multiple
Average Formula -
Surface Area of a Rectangular Solid
Finding the Original Whole
36. Combine like terms
Adding and Subtraction Polynomials
Finding the midpoint
Parallel Lines and Transversals
Factor/Multiple
37. To find the reciprocal of a fraction switch the numerator and the denominator
Determining Absolute Value
Volume of a Cylinder
Reciprocal
Solving a System of Equations
38. If there are m ways one event can happen and n ways a second event can happen - then there are m × n ways for the 2 events to happen
Counting the Possibilities
Reducing Fractions
Direct and Inverse Variation
Surface Area of a Rectangular Solid
39. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Reducing Fractions
Intersection of sets
Determining Absolute Value
Counting the Possibilities
40. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Finding the Missing Number
Adding and Subtracting monomials
Reciprocal
Even/Odd
41. Surface Area = 2lw + 2wh + 2lh
Multiples of 3 and 9
Exponential Growth
Dividing Fractions
Surface Area of a Rectangular Solid
42. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Finding the midpoint
Using an Equation to Find the Slope
Setting up a Ratio
Prime Factorization
43. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Reducing Fractions
The 5-12-13 Triangle
Greatest Common Factor
Parallel Lines and Transversals
44. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Interior Angles of a Polygon
Median and Mode
The 3-4-5 Triangle
Multiples of 3 and 9
45. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Solving a Quadratic Equation
Interior Angles of a Polygon
Solving an Inequality
Percent Increase and Decrease
46. 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
Adding/Subtracting Signed Numbers
Percent Formula
Characteristics of a Square
Parallel Lines and Transversals
47. 2pr
Relative Primes
Parallel Lines and Transversals
Circumference of a Circle
Part-to-Part Ratios and Part-to-Whole Ratios
48. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Average Rate
Adding and Subtracting Roots
Determining Absolute Value
Factor/Multiple
49. pr^2
Multiples of 2 and 4
Adding and Subtracting Roots
Area of a Circle
Function - Notation - and Evaulation
50. For all right triangles: a^2+b^2=c^2
Number Categories
Average Formula -
Pythagorean Theorem
Percent Formula