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. Part = Percent x Whole
Area of a Sector
Reducing Fractions
Multiples of 2 and 4
Percent Formula
2. 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
Multiplying/Dividing Signed Numbers
Exponential Growth
(Least) Common Multiple
Simplifying Square Roots
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
Negative Exponent and Rational Exponent
Repeating Decimal
Tangency
Using an Equation to Find the Slope
4. 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
Multiplying Monomials
Multiplying/Dividing Signed Numbers
Solving a Proportion
Solving an Inequality
5. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Factor/Multiple
Multiples of 3 and 9
Average Rate
The 3-4-5 Triangle
6. Add the exponents and keep the same base
Union of Sets
Determining Absolute Value
Multiplying and Dividing Powers
(Least) Common Multiple
7. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Negative Exponent and Rational Exponent
Adding and Subtracting Roots
Tangency
Solving a System of Equations
8. To multiply fractions - multiply the numerators and multiply the denominators
Counting Consecutive Integers
Reciprocal
Raising Powers to Powers
Multiplying Fractions
9. 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
Median and Mode
Raising Powers to Powers
Volume of a Cylinder
10. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Interior Angles of a Polygon
Union of Sets
PEMDAS
Multiplying and Dividing Roots
11. 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
Average Rate
Isosceles and Equilateral triangles
Interior Angles of a Polygon
Relative Primes
12. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Using Two Points to Find the Slope
Solving an Inequality
Median and Mode
Multiplying and Dividing Powers
13. The smallest multiple (other than zero) that two or more numbers have in common.
Even/Odd
Tangency
(Least) Common Multiple
Adding/Subtracting Fractions
14. 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
Multiples of 3 and 9
Volume of a Rectangular Solid
Even/Odd
(Least) Common Multiple
15. 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
Area of a Triangle
The 5-12-13 Triangle
Isosceles and Equilateral triangles
Using the Average to Find the Sum
16. 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
Reducing Fractions
Percent Increase and Decrease
Interior and Exterior Angles of a Triangle
Adding/Subtracting Fractions
17. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Adding/Subtracting Fractions
Multiplying and Dividing Powers
Intersecting Lines
Function - Notation - and Evaulation
18. Factor out the perfect squares
Adding and Subtraction Polynomials
Simplifying Square Roots
Using an Equation to Find the Slope
Adding and Subtracting Roots
19. Change in y/ change in x rise/run
Using Two Points to Find the Slope
Evaluating an Expression
Median and Mode
Characteristics of a Rectangle
20. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Volume of a Rectangular Solid
Area of a Circle
Exponential Growth
Average Rate
21. To find the reciprocal of a fraction switch the numerator and the denominator
Multiplying/Dividing Signed Numbers
Number Categories
Direct and Inverse Variation
Reciprocal
22. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
The 3-4-5 Triangle
Circumference of a Circle
Intersecting Lines
23. 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)
Counting the Possibilities
Mixed Numbers and Improper Fractions
Area of a Circle
Area of a Sector
24. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Probability
Factor/Multiple
Prime Factorization
25. Combine equations in such a way that one of the variables cancel out
Remainders
Multiplying Monomials
Rate
Solving a System of Equations
26. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Mixed Numbers and Improper Fractions
Multiplying Monomials
Adding and Subtracting monomials
Parallel Lines and Transversals
27. A square is a rectangle with four equal sides; Area of Square = side*side
Determining Absolute Value
Characteristics of a Square
Solving a Proportion
Function - Notation - and Evaulation
28. The largest factor that two or more numbers have in common.
Greatest Common Factor
Multiplying Monomials
The 3-4-5 Triangle
Using Two Points to Find the Slope
29. 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
Average of Evenly Spaced Numbers
Solving a System of Equations
Function - Notation - and Evaulation
(Least) Common Multiple
30. To solve a proportion - cross multiply
Solving a Proportion
PEMDAS
Adding and Subtracting Roots
Multiplying and Dividing Powers
31. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Finding the Missing Number
Surface Area of a Rectangular Solid
Setting up a Ratio
Finding the Original Whole
32. 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
Negative Exponent and Rational Exponent
Prime Factorization
Repeating Decimal
Comparing Fractions
33. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Characteristics of a Rectangle
Characteristics of a Square
Triangle Inequality Theorem
Using Two Points to Find the Slope
34. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Solving a Quadratic Equation
Finding the Distance Between Two Points
Repeating Decimal
Multiplying and Dividing Powers
35. 1. Re-express them with common denominators 2. Convert them to decimals
Relative Primes
Comparing Fractions
Remainders
Triangle Inequality Theorem
36. Surface Area = 2lw + 2wh + 2lh
Multiplying and Dividing Powers
Surface Area of a Rectangular Solid
Multiples of 3 and 9
Exponential Growth
37. pr^2
Area of a Circle
Surface Area of a Rectangular Solid
Parallel Lines and Transversals
Dividing Fractions
38. 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
Finding the Missing Number
Parallel Lines and Transversals
(Least) Common Multiple
Evaluating an Expression
39. Multiply the exponents
Raising Powers to Powers
Setting up a Ratio
Area of a Circle
Relative Primes
40. The whole # left over after division
Simplifying Square Roots
Pythagorean Theorem
Remainders
Interior and Exterior Angles of a Triangle
41. 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
Adding/Subtracting Fractions
Finding the Distance Between Two Points
Interior Angles of a Polygon
42. Volume of a Cylinder = pr^2h
Mixed Numbers and Improper Fractions
Setting up a Ratio
Volume of a Cylinder
Interior Angles of a Polygon
43. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
PEMDAS
Finding the midpoint
Using the Average to Find the Sum
Similar Triangles
44. 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
Using an Equation to Find the Slope
Counting the Possibilities
Volume of a Cylinder
PEMDAS
45. 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
Probability
Solving a Quadratic Equation
Characteristics of a Square
46. 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
Multiplying and Dividing Powers
Percent Formula
Using an Equation to Find an Intercept
Raising Powers to Powers
47. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Average of Evenly Spaced Numbers
Multiplying and Dividing Powers
Interior and Exterior Angles of a Triangle
48. 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
Length of an Arc
Combined Percent Increase and Decrease
Finding the Distance Between Two Points
Function - Notation - and Evaulation
49. To divide fractions - invert the second one and multiply
Area of a Sector
Dividing Fractions
Parallel Lines and Transversals
Exponential Growth
50. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Intersecting Lines
Exponential Growth
Identifying the Parts and the Whole
Multiplying Monomials