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 sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Characteristics of a Parallelogram
Interior Angles of a Polygon
Average Rate
Domain and Range of a Function
2. you can add/subtract when the part under the radical is the same
Average of Evenly Spaced Numbers
Adding and Subtracting Roots
Multiplying and Dividing Roots
Direct and Inverse Variation
3. 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
Combined Percent Increase and Decrease
Using an Equation to Find an Intercept
Negative Exponent and Rational Exponent
Relative Primes
4. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Characteristics of a Rectangle
Area of a Circle
Setting up a Ratio
Multiples of 2 and 4
5. Multiply the exponents
Multiplying Fractions
Intersection of sets
Solving an Inequality
Raising Powers to Powers
6. The whole # left over after division
Remainders
Counting the Possibilities
Exponential Growth
Area of a Triangle
7. 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
Determining Absolute Value
Multiplying and Dividing Roots
Using Two Points to Find the Slope
Repeating Decimal
8. 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
Repeating Decimal
Interior Angles of a Polygon
Reducing Fractions
The 3-4-5 Triangle
9. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
PEMDAS
Intersecting Lines
Setting up a Ratio
Union of Sets
10. A square is a rectangle with four equal sides; Area of Square = side*side
Average of Evenly Spaced Numbers
Counting Consecutive Integers
Comparing Fractions
Characteristics of a Square
11. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Number Categories
Multiplying and Dividing Roots
Tangency
Adding and Subtraction Polynomials
12. 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
Determining Absolute Value
Area of a Triangle
Median and Mode
13. 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
Interior and Exterior Angles of a Triangle
Mixed Numbers and Improper Fractions
Solving a Proportion
The 5-12-13 Triangle
14. To divide fractions - invert the second one and multiply
Dividing Fractions
Counting the Possibilities
Finding the Distance Between Two Points
Direct and Inverse Variation
15. 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
Probability
Relative Primes
Volume of a Rectangular Solid
Average Formula -
16. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Characteristics of a Square
Greatest Common Factor
Union of Sets
17. Volume of a Cylinder = pr^2h
Finding the Original Whole
Volume of a Cylinder
Multiplying and Dividing Powers
(Least) Common Multiple
18. To find the reciprocal of a fraction switch the numerator and the denominator
Volume of a Rectangular Solid
Reciprocal
Remainders
Factor/Multiple
19. 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
Percent Formula
Identifying the Parts and the Whole
Multiplying/Dividing Signed Numbers
Multiplying and Dividing Roots
20. To multiply fractions - multiply the numerators and multiply the denominators
Evaluating an Expression
Finding the Original Whole
Multiplying Fractions
Exponential Growth
21. 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
Union of Sets
Adding and Subtracting Roots
Multiplying Fractions
22. 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
Average of Evenly Spaced Numbers
Intersecting Lines
Determining Absolute Value
23. 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
Multiplying and Dividing Powers
Even/Odd
Interior and Exterior Angles of a Triangle
Characteristics of a Parallelogram
24. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Factor/Multiple
Pythagorean Theorem
Function - Notation - and Evaulation
Adding/Subtracting Fractions
25. 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
Factor/Multiple
The 5-12-13 Triangle
Even/Odd
Finding the Distance Between Two Points
26. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Multiplying Monomials
Probability
Pythagorean Theorem
Average Rate
27. 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
Negative Exponent and Rational Exponent
Function - Notation - and Evaulation
Percent Formula
Determining Absolute Value
28. 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
The 5-12-13 Triangle
Adding and Subtracting Roots
Adding/Subtracting Fractions
Pythagorean Theorem
29. Sum=(Average) x (Number of Terms)
Using the Average to Find the Sum
Reciprocal
Volume of a Rectangular Solid
(Least) Common Multiple
30. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Area of a Circle
Volume of a Rectangular Solid
The 3-4-5 Triangle
Setting up a Ratio
31. 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
PEMDAS
Intersecting Lines
Characteristics of a Rectangle
32. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Interior and Exterior Angles of a Triangle
Adding and Subtraction Polynomials
Intersecting Lines
Median and Mode
33. 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
Adding/Subtracting Signed Numbers
Characteristics of a Parallelogram
Length of an Arc
34. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Multiplying Monomials
Adding and Subtracting Roots
Function - Notation - and Evaulation
Parallel Lines and Transversals
35. Combine like terms
Volume of a Rectangular Solid
Reducing Fractions
Part-to-Part Ratios and Part-to-Whole Ratios
Adding and Subtraction Polynomials
36. Domain: all possible values of x for a function range: all possible outputs of a function
Remainders
Exponential Growth
Setting up a Ratio
Domain and Range of a Function
37. The largest factor that two or more numbers have in common.
PEMDAS
Using an Equation to Find an Intercept
Greatest Common Factor
Determining Absolute Value
38. Change in y/ change in x rise/run
Intersecting Lines
Probability
Using Two Points to Find the Slope
(Least) Common Multiple
39. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Adding and Subtracting Roots
Mixed Numbers and Improper Fractions
Multiples of 3 and 9
Exponential Growth
40. Probability= Favorable Outcomes/Total Possible Outcomes
Finding the midpoint
Even/Odd
Setting up a Ratio
Probability
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
Direct and Inverse Variation
Determining Absolute Value
The 3-4-5 Triangle
Isosceles and Equilateral triangles
42. 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
Identifying the Parts and the Whole
Counting the Possibilities
Percent Increase and Decrease
Finding the midpoint
43. 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
Characteristics of a Square
Part-to-Part Ratios and Part-to-Whole Ratios
Exponential Growth
Adding/Subtracting Fractions
44. 1. Re-express them with common denominators 2. Convert them to decimals
Union of Sets
Circumference of a Circle
Reducing Fractions
Comparing Fractions
45. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
The 3-4-5 Triangle
Adding/Subtracting Fractions
Parallel Lines and Transversals
Similar Triangles
46. 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
Mixed Numbers and Improper Fractions
Length of an Arc
Part-to-Part Ratios and Part-to-Whole Ratios
Average Rate
47. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Adding and Subtracting monomials
Triangle Inequality Theorem
Determining Absolute Value
Solving a Quadratic Equation
48. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Evaluating an Expression
Parallel Lines and Transversals
Using the Average to Find the Sum
Using an Equation to Find the Slope
49. 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
Percent Increase and Decrease
Finding the Missing Number
Using an Equation to Find an Intercept
Probability
50. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Number Categories
(Least) Common Multiple
Raising Powers to Powers
Average Formula -