SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
SAT Math: Concepts And Tricks
Start Test
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. For all right triangles: a^2+b^2=c^2
Area of a Triangle
Raising Powers to Powers
Using the Average to Find the Sum
Pythagorean Theorem
2. 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
Characteristics of a Rectangle
Raising Powers to Powers
Counting the Possibilities
Mixed Numbers and Improper Fractions
3. 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
(Least) Common Multiple
The 3-4-5 Triangle
Solving an Inequality
Average of Evenly Spaced Numbers
4. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Area of a Circle
Average Rate
Probability
5. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Characteristics of a Rectangle
Isosceles and Equilateral triangles
Relative Primes
Interior Angles of a Polygon
6. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
The 3-4-5 Triangle
Combined Percent Increase and Decrease
Average of Evenly Spaced Numbers
Number Categories
7. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Using an Equation to Find the Slope
Multiples of 2 and 4
Solving a System of Equations
Average Rate
8. pr^2
Solving a Quadratic Equation
Part-to-Part Ratios and Part-to-Whole Ratios
Area of a Circle
Circumference of a Circle
9. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Adding and Subtracting monomials
Intersection of sets
Volume of a Rectangular Solid
Number Categories
10. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Characteristics of a Square
Multiplying and Dividing Roots
Identifying the Parts and the Whole
Characteristics of a Rectangle
11. 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
Triangle Inequality Theorem
Mixed Numbers and Improper Fractions
Factor/Multiple
Volume of a Cylinder
12. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Length of an Arc
Factor/Multiple
Prime Factorization
Tangency
13. 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
Adding and Subtracting Roots
Using Two Points to Find the Slope
Combined Percent Increase and Decrease
Setting up a Ratio
14. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Parallel Lines and Transversals
Surface Area of a Rectangular Solid
Adding and Subtraction Polynomials
Dividing Fractions
15. To divide fractions - invert the second one and multiply
Factor/Multiple
Counting the Possibilities
Dividing Fractions
Evaluating an Expression
16. To find the reciprocal of a fraction switch the numerator and the denominator
Reciprocal
Remainders
PEMDAS
Part-to-Part Ratios and Part-to-Whole Ratios
17. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Determining Absolute Value
Multiplying and Dividing Roots
PEMDAS
Combined Percent Increase and Decrease
18. Part = Percent x Whole
Finding the Original Whole
Raising Powers to Powers
Percent Formula
Tangency
19. Combine equations in such a way that one of the variables cancel out
Greatest Common Factor
Reciprocal
Adding and Subtracting monomials
Solving a System of Equations
20. To multiply fractions - multiply the numerators and multiply the denominators
Multiplying Fractions
Counting the Possibilities
Using Two Points to Find the Slope
Combined Percent Increase and Decrease
21. 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/Dividing Signed Numbers
Pythagorean Theorem
Finding the Missing Number
Characteristics of a Parallelogram
22. 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
Surface Area of a Rectangular Solid
Multiplying and Dividing Roots
Repeating Decimal
Solving a Proportion
23. 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
Greatest Common Factor
Multiplying Monomials
Direct and Inverse Variation
Finding the Distance Between Two Points
24. 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
Negative Exponent and Rational Exponent
Using an Equation to Find the Slope
Multiplying and Dividing Roots
Solving a Quadratic Equation
25. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Adding/Subtracting Fractions
Percent Formula
Relative Primes
Part-to-Part Ratios and Part-to-Whole Ratios
26. 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
Relative Primes
Rate
Greatest Common Factor
Adding/Subtracting Signed Numbers
27. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Length of an Arc
Simplifying Square Roots
Counting Consecutive Integers
28. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Domain and Range of a Function
Factor/Multiple
Multiplying Monomials
Finding the midpoint
29. 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
Adding/Subtracting Fractions
Remainders
Average Rate
Rate
30. Add the exponents and keep the same base
Multiplying and Dividing Powers
Length of an Arc
Union of Sets
Adding/Subtracting Fractions
31. Domain: all possible values of x for a function range: all possible outputs of a function
Domain and Range of a Function
Using Two Points to Find the Slope
Multiplying Fractions
Intersecting Lines
32. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Multiplying Fractions
The 3-4-5 Triangle
Reducing Fractions
Probability
33. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Part-to-Part Ratios and Part-to-Whole Ratios
Prime Factorization
Similar Triangles
Counting Consecutive Integers
34. 1. Re-express them with common denominators 2. Convert them to decimals
Area of a Triangle
Rate
Comparing Fractions
Solving a Proportion
35. Sum=(Average) x (Number of Terms)
Triangle Inequality Theorem
Multiples of 3 and 9
Volume of a Cylinder
Using the Average to Find the Sum
36. 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 Sector
Interior Angles of a Polygon
Intersection of sets
37. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
The 5-12-13 Triangle
Multiplying and Dividing Powers
Intersecting Lines
Determining Absolute Value
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
Area of a Triangle
Multiplying Fractions
Multiplying/Dividing Signed Numbers
Function - Notation - and Evaulation
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
Interior and Exterior Angles of a Triangle
Percent Formula
Multiplying and Dividing Roots
Area of a Sector
40. 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
Volume of a Rectangular Solid
Intersection of sets
Relative Primes
41. The whole # left over after division
Dividing Fractions
Remainders
Multiplying Fractions
Probability
42. Change in y/ change in x rise/run
Parallel Lines and Transversals
Using the Average to Find the Sum
Comparing Fractions
Using Two Points to Find the Slope
43. Probability= Favorable Outcomes/Total Possible Outcomes
Characteristics of a Parallelogram
Volume of a Cylinder
Probability
Using Two Points to Find the Slope
44. Surface Area = 2lw + 2wh + 2lh
Average of Evenly Spaced Numbers
Relative Primes
Using Two Points to Find the Slope
Surface Area of a Rectangular Solid
45. A square is a rectangle with four equal sides; Area of Square = side*side
Characteristics of a Square
Adding/Subtracting Signed Numbers
Median and Mode
(Least) Common Multiple
46. 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 an Equation to Find the Slope
Adding and Subtracting Roots
Identifying the Parts and the Whole
Exponential Growth
47. 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 Triangle
Determining Absolute Value
Interior and Exterior Angles of a Triangle
Characteristics of a Rectangle
48. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Raising Powers to Powers
Average Rate
Interior Angles of a Polygon
Pythagorean Theorem
49. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Evaluating an Expression
Repeating Decimal
Remainders
Counting Consecutive Integers
50. 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
Multiples of 2 and 4
The 3-4-5 Triangle
Finding the Original Whole
Average Rate