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. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Remainders
Mixed Numbers and Improper Fractions
Intersection of sets
Using the Average to Find the Sum
2. 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
Number Categories
Using the Average to Find the Sum
Solving a Proportion
3. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Using Two Points to Find the Slope
Intersecting Lines
Intersection of sets
Remainders
4. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Similar Triangles
Domain and Range of a Function
Function - Notation - and Evaulation
Factor/Multiple
5. 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/Dividing Signed Numbers
Multiplying Fractions
Finding the Missing Number
Exponential Growth
6. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Evaluating an Expression
Average of Evenly Spaced Numbers
Adding/Subtracting Signed Numbers
Triangle Inequality Theorem
7. Multiply the exponents
Function - Notation - and Evaulation
Raising Powers to Powers
Multiplying and Dividing Powers
Remainders
8. Volume of a Cylinder = pr^2h
Area of a Sector
Volume of a Cylinder
Evaluating an Expression
Part-to-Part Ratios and Part-to-Whole Ratios
9. 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
(Least) Common Multiple
Median and Mode
Part-to-Part Ratios and Part-to-Whole Ratios
Isosceles and Equilateral triangles
10. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Average Rate
Negative Exponent and Rational Exponent
Repeating Decimal
Percent Formula
11. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Parallel Lines and Transversals
Multiplying Monomials
Factor/Multiple
Multiples of 3 and 9
12. 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
Greatest Common Factor
Multiplying Fractions
Exponential Growth
Prime Factorization
13. 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
Even/Odd
Factor/Multiple
Percent Increase and Decrease
Volume of a Cylinder
14. pr^2
Area of a Circle
Circumference of a Circle
Similar Triangles
Using an Equation to Find the Slope
15. 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
Solving a Quadratic Equation
Solving an Inequality
Characteristics of a Rectangle
Remainders
16. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Prime Factorization
Characteristics of a Rectangle
Even/Odd
Volume of a Rectangular Solid
17. To divide fractions - invert the second one and multiply
Characteristics of a Rectangle
Finding the Missing Number
Intersecting Lines
Dividing Fractions
18. Domain: all possible values of x for a function range: all possible outputs of a function
Area of a Circle
Counting Consecutive Integers
Domain and Range of a Function
Interior Angles of a Polygon
19. Add the exponents and keep the same base
Triangle Inequality Theorem
Reciprocal
Multiplying and Dividing Powers
Multiples of 2 and 4
20. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Remainders
Prime Factorization
Combined Percent Increase and Decrease
Solving a System of Equations
21. 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
Setting up a Ratio
Part-to-Part Ratios and Part-to-Whole Ratios
Mixed Numbers and Improper Fractions
Using an Equation to Find an Intercept
22. 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
Identifying the Parts and the Whole
Part-to-Part Ratios and Part-to-Whole Ratios
Evaluating an Expression
Reducing Fractions
23. 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
Even/Odd
PEMDAS
Volume of a Cylinder
24. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Determining Absolute Value
Union of Sets
Multiples of 2 and 4
Percent Increase and Decrease
25. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Relative Primes
PEMDAS
Using the Average to Find the Sum
Setting up a Ratio
26. The smallest multiple (other than zero) that two or more numbers have in common.
(Least) Common Multiple
Using an Equation to Find an Intercept
Using Two Points to Find the Slope
Even/Odd
27. 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
Direct and Inverse Variation
Part-to-Part Ratios and Part-to-Whole Ratios
Length of an Arc
Intersecting Lines
28. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Remainders
Using an Equation to Find the Slope
Relative Primes
Characteristics of a Rectangle
29. Combine equations in such a way that one of the variables cancel out
Direct and Inverse Variation
Multiplying and Dividing Roots
Evaluating an Expression
Solving a System of Equations
30. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Characteristics of a Rectangle
Counting the Possibilities
Parallel Lines and Transversals
Pythagorean Theorem
31. 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
Relative Primes
Number Categories
Percent Increase and Decrease
32. A square is a rectangle with four equal sides; Area of Square = side*side
Negative Exponent and Rational Exponent
Characteristics of a Square
Characteristics of a Rectangle
Percent Formula
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
Solving a Proportion
Length of an Arc
Repeating Decimal
Multiples of 2 and 4
34. 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
Percent Increase and Decrease
Using the Average to Find the Sum
(Least) Common Multiple
Combined Percent Increase and Decrease
35. The largest factor that two or more numbers have in common.
Comparing Fractions
Remainders
Finding the Missing Number
Greatest Common Factor
36. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
Dividing Fractions
Determining Absolute Value
Multiplying and Dividing Powers
37. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Characteristics of a Parallelogram
Setting up a Ratio
Intersection of sets
Multiplying and Dividing Powers
38. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Multiplying Monomials
Repeating Decimal
Raising Powers to Powers
Using an Equation to Find an Intercept
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
Multiples of 2 and 4
Using an Equation to Find an Intercept
Area of a Circle
40. 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
Characteristics of a Rectangle
Area of a Triangle
The 3-4-5 Triangle
The 5-12-13 Triangle
41. Surface Area = 2lw + 2wh + 2lh
Surface Area of a Rectangular Solid
Multiples of 2 and 4
Multiplying Monomials
Intersection of sets
42. 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
Using the Average to Find the Sum
Interior Angles of a Polygon
Factor/Multiple
Triangle Inequality Theorem
43. (average of the x coordinates - average of the y coordinates)
Isosceles and Equilateral triangles
Adding/Subtracting Signed Numbers
Greatest Common Factor
Finding the midpoint
44. 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
Pythagorean Theorem
Probability
Tangency
Function - Notation - and Evaulation
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
Exponential Growth
Counting the Possibilities
Length of an Arc
The 3-4-5 Triangle
46. 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
Solving a Proportion
Multiplying and Dividing Roots
Percent Formula
The 5-12-13 Triangle
47. 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
Finding the Distance Between Two Points
Adding/Subtracting Fractions
Dividing Fractions
48. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Counting Consecutive Integers
Rate
Solving a Quadratic Equation
Comparing Fractions
49. 1. Re-express them with common denominators 2. Convert them to decimals
Comparing Fractions
Intersecting Lines
Remainders
Finding the Missing Number
50. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Solving an Inequality
Area of a Circle
Determining Absolute Value
Parallel Lines and Transversals