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. Sum=(Average) x (Number of Terms)
Surface Area of a Rectangular Solid
Average Formula -
Parallel Lines and Transversals
Using the Average to Find the Sum
2. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Adding/Subtracting Fractions
Similar Triangles
Solving a System of Equations
Characteristics of a Square
3. 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
Interior Angles of a Polygon
Volume of a Rectangular Solid
Exponential Growth
Remainders
4. Volume of a Cylinder = pr^2h
Using Two Points to Find the Slope
Remainders
Volume of a Cylinder
Finding the Distance Between Two Points
5. Multiply the exponents
Raising Powers to Powers
Using an Equation to Find an Intercept
Counting the Possibilities
Adding and Subtracting Roots
6. 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
Remainders
Area of a Sector
Comparing Fractions
7. 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
Area of a Sector
Intersection of sets
The 5-12-13 Triangle
Finding the Missing Number
8. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Identifying the Parts and the Whole
Dividing Fractions
Multiples of 3 and 9
Multiples of 2 and 4
9. pr^2
Length of an Arc
Area of a Circle
Circumference of a Circle
Negative Exponent and Rational Exponent
10. 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
Negative Exponent and Rational Exponent
(Least) Common Multiple
Factor/Multiple
Isosceles and Equilateral triangles
11. 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
Evaluating an Expression
Length of an Arc
Repeating Decimal
Solving a Quadratic Equation
12. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Intersection of sets
Area of a Triangle
Interior and Exterior Angles of a Triangle
PEMDAS
13. Add the exponents and keep the same base
Evaluating an Expression
Dividing Fractions
Determining Absolute Value
Multiplying and Dividing Powers
14. 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
Even/Odd
Factor/Multiple
Reciprocal
15. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Remainders
Adding and Subtracting monomials
Average Rate
Similar Triangles
16. 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
The 3-4-5 Triangle
Surface Area of a Rectangular Solid
Multiplying and Dividing Powers
Intersecting Lines
17. 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)
Volume of a Rectangular Solid
Length of an Arc
Determining Absolute Value
Adding and Subtraction Polynomials
18. Change in y/ change in x rise/run
Characteristics of a Square
Using Two Points to Find the Slope
Median and Mode
Finding the midpoint
19. 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
Multiples of 3 and 9
Characteristics of a Rectangle
Multiplying Fractions
Direct and Inverse Variation
20. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Multiplying and Dividing Roots
Dividing Fractions
PEMDAS
Using an Equation to Find the Slope
21. 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
Greatest Common Factor
Characteristics of a Square
Rate
Dividing Fractions
22. you can add/subtract when the part under the radical is the same
Pythagorean Theorem
Adding and Subtracting Roots
Rate
Counting the Possibilities
23. To solve a proportion - cross multiply
Interior and Exterior Angles of a Triangle
Remainders
Solving a Proportion
Comparing Fractions
24. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Adding/Subtracting Fractions
Factor/Multiple
Triangle Inequality Theorem
PEMDAS
25. 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
Multiples of 2 and 4
Multiplying and Dividing Roots
Multiplying Monomials
26. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
Similar Triangles
Multiplying and Dividing Powers
Finding the Missing Number
27. To divide fractions - invert the second one and multiply
(Least) Common Multiple
Exponential Growth
Dividing Fractions
Counting Consecutive Integers
28. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Solving an Inequality
PEMDAS
Using an Equation to Find the Slope
Number Categories
29. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Median and Mode
Using the Average to Find the Sum
Tangency
Adding and Subtracting Roots
30. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Part-to-Part Ratios and Part-to-Whole Ratios
Volume of a Rectangular Solid
Finding the midpoint
Triangle Inequality Theorem
31. 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
Triangle Inequality Theorem
Raising Powers to Powers
Using the Average to Find the Sum
Prime Factorization
32. 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
(Least) Common Multiple
Exponential Growth
Part-to-Part Ratios and Part-to-Whole Ratios
Intersecting Lines
33. The median is the value that falls in the middle of the set - the mode is the value that appears most often
(Least) Common Multiple
Median and Mode
Area of a Circle
Finding the Distance Between Two Points
34. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Average of Evenly Spaced Numbers
Adding/Subtracting Signed Numbers
Percent Increase and Decrease
Finding the Distance Between Two Points
35. (average of the x coordinates - average of the y coordinates)
Finding the midpoint
Triangle Inequality Theorem
Probability
Comparing Fractions
36. Domain: all possible values of x for a function range: all possible outputs of a function
Even/Odd
Using an Equation to Find the Slope
Remainders
Domain and Range of a Function
37. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Direct and Inverse Variation
Counting the Possibilities
Characteristics of a Rectangle
Pythagorean Theorem
38. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Part-to-Part Ratios and Part-to-Whole Ratios
Isosceles and Equilateral triangles
Parallel Lines and Transversals
Combined Percent Increase and Decrease
39. 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 Formula -
Average Rate
Combined Percent Increase and Decrease
Solving a System of Equations
40. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Intersecting Lines
Adding/Subtracting Signed Numbers
Setting up a Ratio
Repeating Decimal
41. 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
Using an Equation to Find an Intercept
Comparing Fractions
Volume of a Rectangular Solid
Part-to-Part Ratios and Part-to-Whole Ratios
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
Finding the Missing Number
Solving an Inequality
Multiplying and Dividing Powers
Number Categories
43. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Multiplying and Dividing Roots
Percent Increase and Decrease
Remainders
Raising Powers to Powers
44. 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
Area of a Triangle
Finding the Distance Between Two Points
Using an Equation to Find an Intercept
Adding/Subtracting Signed Numbers
45. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Using an Equation to Find the Slope
Union of Sets
Interior Angles of a Polygon
Tangency
46. 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
Solving a Quadratic Equation
Even/Odd
Reducing Fractions
Function - Notation - and Evaulation
47. A square is a rectangle with four equal sides; Area of Square = side*side
Characteristics of a Square
Isosceles and Equilateral triangles
Reciprocal
(Least) Common Multiple
48. 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
Direct and Inverse Variation
Repeating Decimal
Multiplying and Dividing Roots
Multiplying/Dividing Signed Numbers
49. Probability= Favorable Outcomes/Total Possible Outcomes
Probability
Finding the Distance Between Two Points
Mixed Numbers and Improper Fractions
Relative Primes
50. 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
The 5-12-13 Triangle
Circumference of a Circle
Determining Absolute Value
Counting the Possibilities