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. 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
Finding the midpoint
Identifying the Parts and the Whole
Adding and Subtraction Polynomials
Counting Consecutive Integers
2. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Multiplying Monomials
Finding the Original Whole
Tangency
Prime Factorization
3. Sum=(Average) x (Number of Terms)
Similar Triangles
Using the Average to Find the Sum
Average Formula -
Finding the Missing Number
4. Multiply the exponents
Adding and Subtracting Roots
Using the Average to Find the Sum
Raising Powers to Powers
Multiples of 3 and 9
5. 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
Interior Angles of a Polygon
Even/Odd
Volume of a Rectangular Solid
Union of Sets
6. Volume of a Cylinder = pr^2h
Similar Triangles
Simplifying Square Roots
Volume of a Cylinder
Multiplying/Dividing Signed Numbers
7. 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
Triangle Inequality Theorem
Using an Equation to Find an Intercept
Adding/Subtracting Fractions
Characteristics of a Parallelogram
8. 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
Multiplying Monomials
Characteristics of a Square
Finding the Original Whole
Part-to-Part Ratios and Part-to-Whole Ratios
9. 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
Determining Absolute Value
Mixed Numbers and Improper Fractions
Isosceles and Equilateral triangles
10. 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
Triangle Inequality Theorem
Combined Percent Increase and Decrease
Exponential Growth
11. Part = Percent x Whole
Using an Equation to Find the Slope
Relative Primes
Tangency
Percent Formula
12. The largest factor that two or more numbers have in common.
Adding and Subtracting Roots
Relative Primes
Identifying the Parts and the Whole
Greatest Common Factor
13. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Reciprocal
Intersecting Lines
Using an Equation to Find the Slope
Multiples of 3 and 9
14. To divide fractions - invert the second one and multiply
Average Formula -
Dividing Fractions
Volume of a Rectangular Solid
Remainders
15. To multiply fractions - multiply the numerators and multiply the denominators
Parallel Lines and Transversals
Probability
Multiplying Fractions
Intersection of sets
16. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Direct and Inverse Variation
Characteristics of a Parallelogram
Setting up a Ratio
Percent Formula
17. 2pr
Isosceles and Equilateral triangles
Average of Evenly Spaced Numbers
Circumference of a Circle
Finding the Original Whole
18. 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
Surface Area of a Rectangular Solid
Raising Powers to Powers
Multiples of 2 and 4
Isosceles and Equilateral triangles
19. 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
Exponential Growth
Domain and Range of a Function
Tangency
20. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Determining Absolute Value
Adding/Subtracting Fractions
Multiplying/Dividing Signed Numbers
Comparing Fractions
21. 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
Solving a System of Equations
Mixed Numbers and Improper Fractions
Using Two Points to Find the Slope
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
Repeating Decimal
Simplifying Square Roots
Factor/Multiple
Average of Evenly Spaced Numbers
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
Finding the Missing Number
Mixed Numbers and Improper Fractions
Median and Mode
24. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Using an Equation to Find the Slope
Using the Average to Find the Sum
Multiplying and Dividing Roots
Using Two Points to Find the Slope
25. 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
Relative Primes
Interior and Exterior Angles of a Triangle
Length of an Arc
Rate
26. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Factor/Multiple
Volume of a Rectangular Solid
Circumference of a Circle
Exponential Growth
27. (average of the x coordinates - average of the y coordinates)
Average Formula -
The 3-4-5 Triangle
Finding the midpoint
Area of a Circle
28. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Simplifying Square Roots
Average Formula -
Multiplying/Dividing Signed Numbers
29. 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
Percent Formula
Finding the Original Whole
Part-to-Part Ratios and Part-to-Whole Ratios
30. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
PEMDAS
Pythagorean Theorem
Adding/Subtracting Fractions
Volume of a Rectangular Solid
31. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
PEMDAS
Factor/Multiple
Reducing Fractions
Part-to-Part Ratios and Part-to-Whole Ratios
32. 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
Volume of a Rectangular Solid
Characteristics of a Square
Percent Formula
Combined Percent Increase and Decrease
33. 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
Pythagorean Theorem
Rate
The 5-12-13 Triangle
Domain and Range of a Function
34. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Reducing Fractions
Solving a Proportion
Determining Absolute Value
35. 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
Counting Consecutive Integers
Average Rate
Solving a System of Equations
36. Combine equations in such a way that one of the variables cancel out
Using an Equation to Find an Intercept
Area of a Triangle
Solving a System of Equations
Using an Equation to Find the Slope
37. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Multiplying Monomials
Pythagorean Theorem
PEMDAS
Intersection of sets
38. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Relative Primes
Determining Absolute Value
Volume of a Rectangular Solid
Multiplying/Dividing Signed Numbers
39. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Relative Primes
Counting Consecutive Integers
Union of Sets
Simplifying Square Roots
40. 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
Adding and Subtraction Polynomials
Interior Angles of a Polygon
Area of a Circle
41. 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
Pythagorean Theorem
Percent Formula
Direct and Inverse Variation
Number Categories
42. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Greatest Common Factor
Intersecting Lines
Adding/Subtracting Fractions
Solving a Quadratic Equation
43. Factor out the perfect squares
Simplifying Square Roots
Identifying the Parts and the Whole
Intersecting Lines
Finding the Distance Between Two Points
44. 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
The 3-4-5 Triangle
Characteristics of a Parallelogram
Average Formula -
Using Two Points to Find the Slope
45. The whole # left over after division
Remainders
Reducing Fractions
Exponential Growth
Finding the Distance Between Two Points
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
Multiplying and Dividing Powers
Adding/Subtracting Signed Numbers
Area of a Sector
Adding/Subtracting Fractions
47. Add the exponents and keep the same base
Remainders
The 5-12-13 Triangle
Multiplying and Dividing Powers
Area of a Circle
48. The smallest multiple (other than zero) that two or more numbers have in common.
(Least) Common Multiple
The 3-4-5 Triangle
Adding/Subtracting Fractions
Using Two Points to Find the Slope
49. 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
Area of a Triangle
Triangle Inequality Theorem
Identifying the Parts and the Whole
Using Two Points to Find the Slope
50. Change in y/ change in x rise/run
Negative Exponent and Rational Exponent
Simplifying Square Roots
Using Two Points to Find the Slope
Reducing Fractions