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. 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
Finding the Original Whole
Probability
Area of a Triangle
Solving an Inequality
2. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Average Rate
Mixed Numbers and Improper Fractions
Adding and Subtracting monomials
Reducing Fractions
3. Multiply the exponents
Triangle Inequality Theorem
Union of Sets
Length of an Arc
Raising Powers to Powers
4. 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
Area of a Triangle
Domain and Range of a Function
Area of a Sector
Identifying the Parts and the Whole
5. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Adding and Subtraction Polynomials
Comparing Fractions
Factor/Multiple
Adding/Subtracting Signed Numbers
6. 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
Using an Equation to Find the Slope
Identifying the Parts and the Whole
Pythagorean Theorem
7. Part = Percent x Whole
Surface Area of a Rectangular Solid
Triangle Inequality Theorem
Percent Formula
Interior and Exterior Angles of a Triangle
8. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Finding the Distance Between Two Points
Adding/Subtracting Fractions
Function - Notation - and Evaulation
Similar Triangles
9. 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
Counting Consecutive Integers
Function - Notation - and Evaulation
Identifying the Parts and the Whole
Adding/Subtracting Signed Numbers
10. Combine equations in such a way that one of the variables cancel out
Using an Equation to Find the Slope
Adding and Subtracting Roots
Solving a System of Equations
Function - Notation - and Evaulation
11. 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
Volume of a Cylinder
Percent Increase and Decrease
The 5-12-13 Triangle
Evaluating an Expression
12. The smallest multiple (other than zero) that two or more numbers have in common.
Adding and Subtracting monomials
Remainders
Factor/Multiple
(Least) Common Multiple
13. 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
Reciprocal
Area of a Circle
Solving an Inequality
The 3-4-5 Triangle
14. Sum=(Average) x (Number of Terms)
Area of a Sector
Adding and Subtraction Polynomials
Using the Average to Find the Sum
Surface Area of a Rectangular Solid
15. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Multiplying/Dividing Signed Numbers
Remainders
Multiplying and Dividing Roots
Intersecting Lines
16. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Even/Odd
Prime Factorization
Union of Sets
Interior Angles of a Polygon
17. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Evaluating an Expression
Determining Absolute Value
Exponential Growth
Union of Sets
18. Add the exponents and keep the same base
Multiplying and Dividing Powers
Adding/Subtracting Signed Numbers
Area of a Sector
Multiplying Fractions
19. 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
Multiples of 3 and 9
Multiplying/Dividing Signed Numbers
Counting the Possibilities
Part-to-Part Ratios and Part-to-Whole Ratios
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
Using an Equation to Find the Slope
Finding the Original Whole
Probability
Simplifying Square Roots
21. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Identifying the Parts and the Whole
Union of Sets
Finding the Missing Number
Volume of a Rectangular Solid
22. 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
Solving an Inequality
Circumference of a Circle
Identifying the Parts and the Whole
Pythagorean Theorem
23. Combine like terms
Using an Equation to Find an Intercept
Relative Primes
Adding and Subtraction Polynomials
Characteristics of a Square
24. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
Surface Area of a Rectangular Solid
Probability
Solving an Inequality
25. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Interior and Exterior Angles of a Triangle
Similar Triangles
Finding the Distance Between Two Points
Determining Absolute Value
26. To multiply fractions - multiply the numerators and multiply the denominators
Solving a Quadratic Equation
Circumference of a Circle
Multiplying Fractions
Prime Factorization
27. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Area of a Circle
Intersection of sets
Intersecting Lines
Solving a Proportion
28. 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
Mixed Numbers and Improper Fractions
Solving an Inequality
Counting the Possibilities
Using an Equation to Find the Slope
29. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
The 3-4-5 Triangle
Identifying the Parts and the Whole
Average Rate
Reciprocal
30. pr^2
Factor/Multiple
Interior Angles of a Polygon
Area of a Circle
Adding/Subtracting Fractions
31. The largest factor that two or more numbers have in common.
Greatest Common Factor
Average of Evenly Spaced Numbers
Function - Notation - and Evaulation
Part-to-Part Ratios and Part-to-Whole Ratios
32. 2pr
Direct and Inverse Variation
Circumference of a Circle
Area of a Triangle
Multiplying and Dividing Roots
33. To divide fractions - invert the second one and multiply
Dividing Fractions
Volume of a Rectangular Solid
Comparing Fractions
Setting up a Ratio
34. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Adding and Subtracting Roots
Interior Angles of a Polygon
Simplifying Square Roots
Characteristics of a Square
35. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
PEMDAS
Tangency
Pythagorean Theorem
Dividing Fractions
36. 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
Direct and Inverse Variation
Interior and Exterior Angles of a Triangle
Reciprocal
Finding the Original Whole
37. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Counting Consecutive Integers
Adding and Subtraction Polynomials
Isosceles and Equilateral triangles
Average of Evenly Spaced Numbers
38. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Using Two Points to Find the Slope
Interior and Exterior Angles of a Triangle
Median and Mode
Parallel Lines and Transversals
39. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Function - Notation - and Evaulation
Finding the Distance Between Two Points
Union of Sets
Volume of a Cylinder
40. 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
Multiplying and Dividing Roots
Using the Average to Find the Sum
The 5-12-13 Triangle
Exponential Growth
41. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Multiples of 2 and 4
Counting the Possibilities
Circumference of a Circle
Surface Area of a Rectangular Solid
42. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Multiplying/Dividing Signed Numbers
Probability
Interior Angles of a Polygon
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
Isosceles and Equilateral triangles
Median and Mode
Surface Area of a Rectangular Solid
Finding the Missing Number
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
Characteristics of a Rectangle
Area of a Triangle
Adding/Subtracting Signed Numbers
Tangency
45. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Evaluating an Expression
Comparing Fractions
Area of a Triangle
PEMDAS
46. To find the reciprocal of a fraction switch the numerator and the denominator
Number Categories
Dividing Fractions
PEMDAS
Reciprocal
47. Change in y/ change in x rise/run
Surface Area of a Rectangular Solid
Union of Sets
Solving a Proportion
Using Two Points to Find the Slope
48. (average of the x coordinates - average of the y coordinates)
Finding the midpoint
Mixed Numbers and Improper Fractions
Area of a Circle
Even/Odd
49. 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
Reciprocal
Even/Odd
Using Two Points to Find the Slope
Tangency
50. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Average Rate
Multiplying Monomials
Adding and Subtracting Roots
Prime Factorization