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. 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
Characteristics of a Parallelogram
Using an Equation to Find the Slope
Solving a System of Equations
Setting up a Ratio
2. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Length of an Arc
Direct and Inverse Variation
Adding and Subtracting monomials
Characteristics of a Rectangle
3. 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
Interior Angles of a Polygon
Repeating Decimal
Multiples of 2 and 4
Exponential Growth
4. A square is a rectangle with four equal sides; Area of Square = side*side
Median and Mode
Characteristics of a Square
Area of a Triangle
Adding/Subtracting Signed Numbers
5. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Solving a Quadratic Equation
Volume of a Rectangular Solid
Factor/Multiple
Adding and Subtraction Polynomials
6. 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
Counting the Possibilities
Raising Powers to Powers
Simplifying Square Roots
7. 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
Simplifying Square Roots
Similar Triangles
Interior and Exterior Angles of a Triangle
Mixed Numbers and Improper Fractions
8. 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
Identifying the Parts and the Whole
Average Formula -
(Least) Common Multiple
9. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Prime Factorization
Volume of a Rectangular Solid
Multiples of 2 and 4
Adding and Subtracting monomials
10. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Length of an Arc
Intersection of sets
Parallel Lines and Transversals
Solving a Proportion
11. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Similar Triangles
Adding/Subtracting Fractions
Multiplying Fractions
Adding and Subtraction Polynomials
12. 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 Roots
Finding the Original Whole
Evaluating an Expression
Determining Absolute Value
13. Combine equations in such a way that one of the variables cancel out
Prime Factorization
Using an Equation to Find an Intercept
Reciprocal
Solving a System of Equations
14. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Median and Mode
Adding and Subtracting Roots
Interior Angles of a Polygon
Evaluating an Expression
15. For all right triangles: a^2+b^2=c^2
Interior Angles of a Polygon
Using an Equation to Find an Intercept
Triangle Inequality Theorem
Pythagorean Theorem
16. 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
Triangle Inequality Theorem
Finding the Distance Between Two Points
Union of Sets
17. 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
Counting the Possibilities
(Least) Common Multiple
Percent Formula
Triangle Inequality Theorem
18. Domain: all possible values of x for a function range: all possible outputs of a function
Area of a Circle
Union of Sets
Domain and Range of a Function
Average Formula -
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
Direct and Inverse Variation
(Least) Common Multiple
Using Two Points to Find the Slope
Adding and Subtracting Roots
20. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
The 3-4-5 Triangle
Multiplying/Dividing Signed Numbers
Length of an Arc
Reducing Fractions
21. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Area of a Triangle
Solving a System of Equations
Union of Sets
Isosceles and Equilateral triangles
22. To find the reciprocal of a fraction switch the numerator and the denominator
Multiplying and Dividing Roots
Characteristics of a Square
Pythagorean Theorem
Reciprocal
23. 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
Finding the Distance Between Two Points
Surface Area of a Rectangular Solid
Counting the Possibilities
Adding/Subtracting Signed Numbers
24. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Dividing Fractions
Area of a Triangle
Comparing Fractions
Volume of a Rectangular Solid
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
Union of Sets
Multiplying and Dividing Powers
Combined Percent Increase and Decrease
Relative Primes
26. Combine like terms
Adding and Subtraction Polynomials
Area of a Triangle
Interior and Exterior Angles of a Triangle
Solving a Proportion
27. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Multiples of 3 and 9
Number Categories
Adding and Subtracting monomials
Function - Notation - and Evaulation
28. To divide fractions - invert the second one and multiply
Adding/Subtracting Fractions
Dividing Fractions
Factor/Multiple
Counting Consecutive Integers
29. 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
Average Formula -
Exponential Growth
Negative Exponent and Rational Exponent
Surface Area of a Rectangular Solid
30. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Multiplying/Dividing Signed Numbers
Tangency
Parallel Lines and Transversals
Circumference of a Circle
31. 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
Finding the midpoint
Surface Area of a Rectangular Solid
Multiplying/Dividing Signed Numbers
32. pr^2
Area of a Sector
Area of a Circle
Comparing Fractions
Characteristics of a Rectangle
33. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Direct and Inverse Variation
Dividing Fractions
PEMDAS
Number Categories
34. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Characteristics of a Square
Relative Primes
Evaluating an Expression
Adding and Subtracting Roots
35. 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
Characteristics of a Rectangle
Simplifying Square Roots
Tangency
Identifying the Parts and the Whole
36. 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
Multiplying Fractions
Remainders
Area of a Triangle
Negative Exponent and Rational Exponent
37. 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
Volume of a Cylinder
Triangle Inequality Theorem
Parallel Lines and Transversals
Mixed Numbers and Improper Fractions
38. Change in y/ change in x rise/run
Remainders
Using Two Points to Find the Slope
Volume of a Cylinder
Dividing Fractions
39. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Part-to-Part Ratios and Part-to-Whole Ratios
Pythagorean Theorem
Volume of a Cylinder
Finding the Distance Between Two Points
40. 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
Exponential Growth
Even/Odd
Average Rate
Multiplying/Dividing Signed Numbers
41. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Function - Notation - and Evaulation
Finding the midpoint
Median and Mode
Multiplying and Dividing Powers
42. Surface Area = 2lw + 2wh + 2lh
PEMDAS
The 3-4-5 Triangle
Surface Area of a Rectangular Solid
Factor/Multiple
43. 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
Remainders
Characteristics of a Square
Solving a Quadratic Equation
Finding the Missing Number
44. To solve a proportion - cross multiply
The 3-4-5 Triangle
Counting the Possibilities
Solving a Proportion
Area of a Triangle
45. Factor out the perfect squares
Characteristics of a Parallelogram
Simplifying Square Roots
Using an Equation to Find an Intercept
Exponential Growth
46. Subtract the smallest from the largest and add 1
Rate
Probability
Counting Consecutive Integers
Adding and Subtracting monomials
47. (average of the x coordinates - average of the y coordinates)
Reducing Fractions
Finding the midpoint
Adding and Subtraction Polynomials
Percent Formula
48. Probability= Favorable Outcomes/Total Possible Outcomes
Pythagorean Theorem
Probability
The 5-12-13 Triangle
Average Formula -
49. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Average of Evenly Spaced Numbers
Multiples of 2 and 4
Multiples of 3 and 9
Multiplying Monomials
50. 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
Reciprocal
Combined Percent Increase and Decrease
Median and Mode