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. 1. Re-express them with common denominators 2. Convert them to decimals
Multiples of 2 and 4
Using Two Points to Find the Slope
Average of Evenly Spaced Numbers
Comparing Fractions
2. 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
Similar Triangles
Area of a Triangle
Finding the Distance Between Two Points
Part-to-Part Ratios and Part-to-Whole Ratios
3. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Tangency
Raising Powers to Powers
Multiplying and Dividing Roots
Rate
4. 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
Adding/Subtracting Signed Numbers
Multiplying Fractions
Solving a Proportion
Prime Factorization
5. 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
Evaluating an Expression
Isosceles and Equilateral triangles
Characteristics of a Square
6. 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
Interior and Exterior Angles of a Triangle
Identifying the Parts and the Whole
Rate
Length of an Arc
7. 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 Distance Between Two Points
Solving a Proportion
Solving a Quadratic Equation
Area of a Triangle
8. Domain: all possible values of x for a function range: all possible outputs of a function
Raising Powers to Powers
Negative Exponent and Rational Exponent
Remainders
Domain and Range of a Function
9. Surface Area = 2lw + 2wh + 2lh
Probability
Surface Area of a Rectangular Solid
Tangency
Rate
10. 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
Solving a System of Equations
Dividing Fractions
Probability
The 5-12-13 Triangle
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
Finding the Missing Number
Repeating Decimal
Adding and Subtracting Roots
Simplifying Square Roots
12. Add the exponents and keep the same base
The 5-12-13 Triangle
Multiplying/Dividing Signed Numbers
Multiplying and Dividing Powers
Direct and Inverse Variation
13. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Combined Percent Increase and Decrease
Multiplying/Dividing Signed Numbers
Multiplying and Dividing Roots
Adding and Subtraction Polynomials
14. Subtract the smallest from the largest and add 1
Adding and Subtracting Roots
Counting Consecutive Integers
Circumference of a Circle
Volume of a Rectangular Solid
15. Factor out the perfect squares
Simplifying Square Roots
Parallel Lines and Transversals
Adding and Subtracting monomials
Percent Increase and Decrease
16. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Average Rate
(Least) Common Multiple
Determining Absolute Value
Average of Evenly Spaced Numbers
17. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Prime Factorization
Interior Angles of a Polygon
Multiples of 3 and 9
Mixed Numbers and Improper Fractions
18. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Remainders
Intersecting Lines
Adding/Subtracting Fractions
Adding and Subtraction Polynomials
19. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Reciprocal
Combined Percent Increase and Decrease
Adding/Subtracting Fractions
20. Combine like terms
Characteristics of a Square
Adding and Subtraction Polynomials
Part-to-Part Ratios and Part-to-Whole Ratios
Exponential Growth
21. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Characteristics of a Rectangle
Using an Equation to Find the Slope
Median and Mode
Relative Primes
22. 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
Simplifying Square Roots
Characteristics of a Square
Multiplying/Dividing Signed Numbers
(Least) Common Multiple
23. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Average of Evenly Spaced Numbers
Remainders
Circumference of a Circle
Determining Absolute Value
24. 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
Multiplying Monomials
Characteristics of a Rectangle
Length of an Arc
25. pr^2
Multiplying Monomials
Even/Odd
Area of a Circle
Greatest Common Factor
26. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Setting up a Ratio
Surface Area of a Rectangular Solid
Multiplying and Dividing Powers
Intersection of sets
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
Repeating Decimal
Pythagorean Theorem
Domain and Range of a Function
Function - Notation - and Evaulation
28. 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
Solving an Inequality
Percent Increase and Decrease
Multiples of 2 and 4
Relative Primes
29. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Volume of a Rectangular Solid
PEMDAS
Using an Equation to Find the Slope
The 5-12-13 Triangle
30. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Determining Absolute Value
Using an Equation to Find the Slope
Solving a System of Equations
31. To find the reciprocal of a fraction switch the numerator and the denominator
Reciprocal
Intersecting Lines
Evaluating an Expression
Multiplying and Dividing Roots
32. To divide fractions - invert the second one and multiply
Dividing Fractions
Interior and Exterior Angles of a Triangle
Area of a Sector
Adding and Subtracting monomials
33. you can add/subtract when the part under the radical is the same
Surface Area of a Rectangular Solid
Repeating Decimal
Reciprocal
Adding and Subtracting Roots
34. 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 Rate
Adding/Subtracting Signed Numbers
Multiplying Fractions
Greatest Common Factor
35. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Negative Exponent and Rational Exponent
Factor/Multiple
Pythagorean Theorem
Similar Triangles
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
Factor/Multiple
Finding the Original Whole
Adding and Subtraction Polynomials
Rate
37. 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)
Greatest Common Factor
Adding/Subtracting Fractions
Area of a Sector
Domain and Range of a Function
38. 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
Rate
Function - Notation - and Evaulation
Identifying the Parts and the Whole
Percent Increase and Decrease
39. 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
Circumference of a Circle
Direct and Inverse Variation
Raising Powers to Powers
Triangle Inequality Theorem
40. A square is a rectangle with four equal sides; Area of Square = side*side
Pythagorean Theorem
Average Rate
Adding/Subtracting Signed Numbers
Characteristics of a Square
41. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Determining Absolute Value
Finding the midpoint
Finding the Distance Between Two Points
Union of Sets
42. 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
Characteristics of a Parallelogram
Finding the Missing Number
Dividing Fractions
Negative Exponent and Rational Exponent
43. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Multiplying Monomials
Isosceles and Equilateral triangles
Greatest Common Factor
Reducing Fractions
44. 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
Even/Odd
Solving an Inequality
Volume of a Rectangular Solid
Solving a System of Equations
45. Multiply the exponents
Domain and Range of a Function
Raising Powers to Powers
Interior Angles of a Polygon
Tangency
46. 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
Function - Notation - and Evaulation
Circumference of a Circle
Percent Increase and Decrease
Multiplying/Dividing Signed Numbers
47. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Even/Odd
Finding the Original Whole
Evaluating an Expression
Parallel Lines and Transversals
48. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Tangency
Characteristics of a Rectangle
Multiplying Fractions
Multiplying and Dividing Powers
49. To multiply fractions - multiply the numerators and multiply the denominators
Using an Equation to Find the Slope
Adding/Subtracting Signed Numbers
Multiplying Fractions
Average Formula -
50. 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
Isosceles and Equilateral triangles
Finding the Original Whole
Using an Equation to Find an Intercept
Finding the midpoint