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. 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
Simplifying Square Roots
Adding and Subtracting monomials
Part-to-Part Ratios and Part-to-Whole Ratios
Negative Exponent and Rational Exponent
2. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Negative Exponent and Rational Exponent
Adding/Subtracting Fractions
Factor/Multiple
Intersection of sets
3. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Percent Formula
Multiples of 3 and 9
Finding the Distance Between Two Points
Tangency
4. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Isosceles and Equilateral triangles
Finding the Missing Number
Union of Sets
Area of a Circle
5. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Intersecting Lines
Multiplying Monomials
Even/Odd
Number Categories
6. Volume of a Cylinder = pr^2h
Triangle Inequality Theorem
Volume of a Cylinder
Using an Equation to Find the Slope
The 5-12-13 Triangle
7. Add the exponents and keep the same base
Adding and Subtraction Polynomials
Domain and Range of a Function
Multiplying and Dividing Powers
Finding the Distance Between Two Points
8. (average of the x coordinates - average of the y coordinates)
Tangency
Using the Average to Find the Sum
Finding the midpoint
Number Categories
9. Factor out the perfect squares
Prime Factorization
Remainders
Simplifying Square Roots
Multiples of 3 and 9
10. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Using an Equation to Find the Slope
Counting the Possibilities
PEMDAS
Multiplying and Dividing Roots
11. pr^2
Finding the Original Whole
Remainders
Area of a Circle
Multiplying Monomials
12. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Multiples of 3 and 9
Domain and Range of a Function
Average Formula -
Evaluating an Expression
13. 1. Re-express them with common denominators 2. Convert them to decimals
Average of Evenly Spaced Numbers
Multiples of 2 and 4
Adding and Subtraction Polynomials
Comparing Fractions
14. 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
Intersecting Lines
Solving a System of Equations
Reducing Fractions
Direct and Inverse Variation
15. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Solving an Inequality
Part-to-Part Ratios and Part-to-Whole Ratios
Multiples of 2 and 4
PEMDAS
16. 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)
Triangle Inequality Theorem
Characteristics of a Square
Area of a Sector
Adding/Subtracting Fractions
17. The whole # left over after division
Evaluating an Expression
Using the Average to Find the Sum
Remainders
Rate
18. The smallest multiple (other than zero) that two or more numbers have in common.
Adding and Subtracting monomials
Area of a Sector
(Least) Common Multiple
Comparing Fractions
19. 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
Surface Area of a Rectangular Solid
Average Rate
Counting the Possibilities
Multiples of 3 and 9
20. Sum=(Average) x (Number of Terms)
Counting the Possibilities
Pythagorean Theorem
Using the Average to Find the Sum
Multiplying and Dividing Roots
21. Change in y/ change in x rise/run
Surface Area of a Rectangular Solid
Counting Consecutive Integers
Area of a Triangle
Using Two Points to Find the Slope
22. 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
Adding and Subtracting monomials
Greatest Common Factor
Using Two Points to Find the Slope
The 5-12-13 Triangle
23. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Evaluating an Expression
Dividing Fractions
Adding and Subtracting Roots
Finding the Original Whole
24. 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
Percent Increase and Decrease
Exponential Growth
Area of a Triangle
Average Rate
25. 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
(Least) Common Multiple
Mixed Numbers and Improper Fractions
Direct and Inverse Variation
Prime Factorization
26. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Finding the Missing Number
Similar Triangles
Multiples of 3 and 9
Repeating Decimal
27. Domain: all possible values of x for a function range: all possible outputs of a function
Function - Notation - and Evaulation
Domain and Range of a Function
Solving an Inequality
Direct and Inverse Variation
28. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Area of a Triangle
Using an Equation to Find the Slope
Adding and Subtracting monomials
Solving a Proportion
29. 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
Multiplying Monomials
Remainders
Combined Percent Increase and Decrease
Direct and Inverse Variation
30. To multiply fractions - multiply the numerators and multiply the denominators
Multiplying Fractions
Comparing Fractions
Average Formula -
Reducing Fractions
31. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Multiples of 3 and 9
Adding and Subtraction Polynomials
Using Two Points to Find the Slope
Counting the Possibilities
32. Subtract the smallest from the largest and add 1
Percent Formula
Direct and Inverse Variation
Counting Consecutive Integers
Using an Equation to Find the Slope
33. 2pr
Interior Angles of a Polygon
Multiplying and Dividing Roots
Circumference of a Circle
Median and Mode
34. To find the reciprocal of a fraction switch the numerator and the denominator
Reciprocal
Raising Powers to Powers
Intersecting Lines
Average Formula -
35. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Intersecting Lines
Median and Mode
Solving an Inequality
Probability
36. 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
Raising Powers to Powers
Area of a Triangle
Adding/Subtracting Signed Numbers
Exponential Growth
37. 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
Raising Powers to Powers
Repeating Decimal
Using an Equation to Find an Intercept
Identifying the Parts and the Whole
38. 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
Counting the Possibilities
Rate
Mixed Numbers and Improper Fractions
Median and Mode
39. 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
Average Rate
Triangle Inequality Theorem
Percent Increase and Decrease
Length of an Arc
40. 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
(Least) Common Multiple
Surface Area of a Rectangular Solid
Solving a Quadratic Equation
41. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Average of Evenly Spaced Numbers
PEMDAS
Repeating Decimal
Intersection of sets
42. Multiply the exponents
Exponential Growth
Raising Powers to Powers
Volume of a Cylinder
Identifying the Parts and the Whole
43. 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
Area of a Sector
Average of Evenly Spaced Numbers
Interior Angles of a Polygon
44. For all right triangles: a^2+b^2=c^2
Combined Percent Increase and Decrease
Finding the Missing Number
Pythagorean Theorem
Average Rate
45. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Percent Formula
Prime Factorization
Using an Equation to Find an Intercept
Interior Angles of a Polygon
46. To solve a proportion - cross multiply
Average of Evenly Spaced Numbers
Solving a System of Equations
Mixed Numbers and Improper Fractions
Solving a Proportion
47. 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
Identifying the Parts and the Whole
Counting the Possibilities
Triangle Inequality Theorem
Comparing Fractions
48. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Adding and Subtraction Polynomials
(Least) Common Multiple
Parallel Lines and Transversals
Median and Mode
49. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Triangle Inequality Theorem
Setting up a Ratio
Counting the Possibilities
Factor/Multiple
50. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Using the Average to Find the Sum
Average of Evenly Spaced Numbers
Determining Absolute Value
Finding the Original Whole