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. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Average Formula -
Similar Triangles
The 5-12-13 Triangle
2. 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
Solving a Proportion
Adding and Subtracting Roots
Function - Notation - and Evaulation
Repeating Decimal
3. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Isosceles and Equilateral triangles
Prime Factorization
Triangle Inequality Theorem
Solving a Quadratic Equation
4. 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
Characteristics of a Square
Comparing Fractions
Median and Mode
Relative Primes
5. Surface Area = 2lw + 2wh + 2lh
Adding and Subtracting monomials
Finding the Distance Between Two Points
Surface Area of a Rectangular Solid
Intersection of sets
6. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Reducing Fractions
Percent Increase and Decrease
Average Rate
Interior Angles of a Polygon
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
Exponential Growth
Multiplying Monomials
Dividing Fractions
Intersecting Lines
8. 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
Median and Mode
Area of a Triangle
The 3-4-5 Triangle
Union of Sets
9. Combine like terms
Adding/Subtracting Signed Numbers
Direct and Inverse Variation
Interior and Exterior Angles of a Triangle
Adding and Subtraction Polynomials
10. To solve a proportion - cross multiply
Solving a Proportion
Surface Area of a Rectangular Solid
Similar Triangles
Union of Sets
11. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Rate
Domain and Range of a Function
Multiplying Monomials
Multiples of 2 and 4
12. The smallest multiple (other than zero) that two or more numbers have in common.
Intersecting Lines
(Least) Common Multiple
Volume of a Cylinder
Characteristics of a Rectangle
13. Sum=(Average) x (Number of Terms)
Multiples of 2 and 4
Exponential Growth
Finding the Missing Number
Using the Average to Find the Sum
14. Multiply the exponents
Intersection of sets
Circumference of a Circle
Raising Powers to Powers
Using Two Points to Find the Slope
15. For all right triangles: a^2+b^2=c^2
Percent Increase and Decrease
Pythagorean Theorem
Characteristics of a Rectangle
Multiplying Monomials
16. The whole # left over after division
Characteristics of a Rectangle
Remainders
Isosceles and Equilateral triangles
Determining Absolute Value
17. 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
(Least) Common Multiple
Greatest Common Factor
Counting Consecutive Integers
Characteristics of a Parallelogram
18. Domain: all possible values of x for a function range: all possible outputs of a function
Percent Formula
Domain and Range of a Function
Intersecting Lines
Area of a Sector
19. 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
Intersecting Lines
Mixed Numbers and Improper Fractions
Greatest Common Factor
Similar Triangles
20. 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
Finding the Distance Between Two Points
Area of a Sector
Using the Average to Find the Sum
21. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Intersection of sets
PEMDAS
Adding and Subtraction Polynomials
Average of Evenly Spaced Numbers
22. 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
Evaluating an Expression
Solving a System of Equations
Rate
Relative Primes
23. 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 an Inequality
Pythagorean Theorem
The 3-4-5 Triangle
Solving a Quadratic Equation
24. Change in y/ change in x rise/run
Area of a Circle
Multiplying/Dividing Signed Numbers
Using Two Points to Find the Slope
Function - Notation - and Evaulation
25. 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
Multiplying Monomials
Surface Area of a Rectangular Solid
Interior Angles of a Polygon
26. Volume of a Cylinder = pr^2h
Characteristics of a Square
Negative Exponent and Rational Exponent
Volume of a Cylinder
Finding the midpoint
27. 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)
Greatest Common Factor
Area of a Sector
Identifying the Parts and the Whole
Interior Angles of a Polygon
28. 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
The 5-12-13 Triangle
Multiplying Monomials
Circumference of a Circle
Triangle Inequality Theorem
29. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Using Two Points to Find the Slope
Similar Triangles
Percent Increase and Decrease
Rate
30. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
The 5-12-13 Triangle
Raising Powers to Powers
The 3-4-5 Triangle
Multiples of 2 and 4
31. you can add/subtract when the part under the radical is the same
Adding/Subtracting Signed Numbers
Solving a System of Equations
Average of Evenly Spaced Numbers
Adding and Subtracting Roots
32. Factor out the perfect squares
The 5-12-13 Triangle
Similar Triangles
Interior Angles of a Polygon
Simplifying Square Roots
33. To multiply fractions - multiply the numerators and multiply the denominators
Greatest Common Factor
Simplifying Square Roots
Multiplying Fractions
Identifying the Parts and the Whole
34. 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
Identifying the Parts and the Whole
Function - Notation - and Evaulation
Rate
Adding and Subtracting monomials
35. The largest factor that two or more numbers have in common.
Raising Powers to Powers
Characteristics of a Parallelogram
Greatest Common Factor
Finding the Original Whole
36. 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
Median and Mode
Triangle Inequality Theorem
Using Two Points to Find the Slope
Counting the Possibilities
37. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Multiplying and Dividing Powers
Simplifying Square Roots
Negative Exponent and Rational Exponent
PEMDAS
38. 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
Isosceles and Equilateral triangles
Area of a Sector
PEMDAS
Using Two Points to Find the Slope
39. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Determining Absolute Value
Negative Exponent and Rational Exponent
Part-to-Part Ratios and Part-to-Whole Ratios
Mixed Numbers and Improper Fractions
40. To divide fractions - invert the second one and multiply
Area of a Triangle
Tangency
The 3-4-5 Triangle
Dividing Fractions
41. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Rate
Relative Primes
Parallel Lines and Transversals
Simplifying Square Roots
42. 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
Area of a Circle
Factor/Multiple
Solving an Inequality
Adding/Subtracting Fractions
43. Subtract the smallest from the largest and add 1
Multiplying Fractions
Raising Powers to Powers
Function - Notation - and Evaulation
Counting Consecutive Integers
44. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Area of a Sector
Tangency
Parallel Lines and Transversals
Volume of a Rectangular Solid
45. 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
Using an Equation to Find the Slope
Prime Factorization
The 3-4-5 Triangle
Finding the midpoint
46. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Setting up a Ratio
Negative Exponent and Rational Exponent
Intersection of sets
Tangency
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)
Domain and Range of a Function
Multiplying and Dividing Roots
Length of an Arc
Finding the Original Whole
48. 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
Average Rate
Determining Absolute Value
Dividing Fractions
49. Use this example: Example: after a 5% increase - the population was 59 -346. What was the population before the increase? Work: 1.05x=59 -346 Answer: 56 -520
Finding the Original Whole
Greatest Common Factor
Determining Absolute Value
Probability
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
Tangency
Raising Powers to Powers
Similar Triangles
Adding/Subtracting Signed Numbers