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
Subjects
:
sat
,
math
Instructions:
Answer
50
questions in
30 minutes
.
2 minutes extra for reading the instructions.
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. Combine like terms
Evaluating an Expression
Adding/Subtracting Signed Numbers
Surface Area of a Rectangular Solid
Adding and Subtraction Polynomials
2. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Union of Sets
Using an Equation to Find the Slope
Remainders
Multiplying and Dividing Roots
3. 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
Percent Increase and Decrease
Multiplying and Dividing Powers
Interior Angles of a Polygon
Average Formula -
4. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Simplifying Square Roots
Similar Triangles
Adding and Subtracting monomials
Using an Equation to Find an Intercept
5. pr^2
Identifying the Parts and the Whole
Area of a Circle
Simplifying Square Roots
Repeating Decimal
6. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Solving a Proportion
Multiplying and Dividing Powers
Intersecting Lines
Probability
7. 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
Finding the Distance Between Two Points
Solving a Quadratic Equation
Counting the Possibilities
Average of Evenly Spaced Numbers
8. 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
Greatest Common Factor
Multiplying Fractions
Area of a Triangle
Finding the Original Whole
9. 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
Characteristics of a Parallelogram
Adding and Subtracting monomials
Probability
Multiplying/Dividing Signed Numbers
10. Surface Area = 2lw + 2wh + 2lh
Surface Area of a Rectangular Solid
Setting up a Ratio
Average Formula -
Finding the midpoint
11. Domain: all possible values of x for a function range: all possible outputs of a function
Solving a System of Equations
Domain and Range of a Function
Using an Equation to Find the Slope
Adding and Subtracting monomials
12. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Setting up a Ratio
Multiples of 3 and 9
Triangle Inequality Theorem
Remainders
13. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
Pythagorean Theorem
Intersecting Lines
Setting up a Ratio
14. 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
Percent Formula
Average Formula -
Identifying the Parts and the Whole
Area of a Triangle
15. 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
Isosceles and Equilateral triangles
Multiples of 3 and 9
Solving an Inequality
Area of a Sector
16. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Interior Angles of a Polygon
Union of Sets
Adding and Subtracting Roots
Solving a System of Equations
17. 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
Counting Consecutive Integers
Interior Angles of a Polygon
Combined Percent Increase and Decrease
Evaluating an Expression
18. (average of the x coordinates - average of the y coordinates)
PEMDAS
Percent Increase and Decrease
Using the Average to Find the Sum
Finding the midpoint
19. A square is a rectangle with four equal sides; Area of Square = side*side
Even/Odd
Interior and Exterior Angles of a Triangle
Multiplying Fractions
Characteristics of a Square
20. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Finding the Distance Between Two Points
Multiplying and Dividing Powers
Multiplying Monomials
Intersecting Lines
21. 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
Length of an Arc
Interior and Exterior Angles of a Triangle
Finding the Missing Number
(Least) Common Multiple
22. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Multiplying/Dividing Signed Numbers
Reducing Fractions
Exponential Growth
Solving a Proportion
23. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Part-to-Part Ratios and Part-to-Whole Ratios
Median and Mode
Multiplying and Dividing Roots
Multiplying and Dividing Powers
24. 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
Relative Primes
Mixed Numbers and Improper Fractions
Counting the Possibilities
Union of Sets
25. The largest factor that two or more numbers have in common.
Finding the Original Whole
Using an Equation to Find an Intercept
Greatest Common Factor
Remainders
26. The whole # left over after division
Pythagorean Theorem
Remainders
PEMDAS
Factor/Multiple
27. 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
Circumference of a Circle
Factor/Multiple
Reducing Fractions
Negative Exponent and Rational Exponent
28. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Volume of a Rectangular Solid
Solving a System of Equations
The 3-4-5 Triangle
Solving a Proportion
29. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Domain and Range of a Function
Factor/Multiple
Isosceles and Equilateral triangles
PEMDAS
30. Integers are whole numbers; they include negtavie whole numbers and zero - Rational numbers can be expressed as a ratio of two integers - irration numbers are real numbers that cant be expressed precisely as a fraction or decimal.
Number Categories
Similar Triangles
Adding and Subtracting monomials
Adding and Subtraction Polynomials
31. Add the exponents and keep the same base
Adding/Subtracting Signed Numbers
Union of Sets
Multiplying and Dividing Powers
Adding/Subtracting Fractions
32. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Solving a Proportion
Function - Notation - and Evaulation
Multiples of 2 and 4
Adding and Subtraction Polynomials
33. 1. Re-express them with common denominators 2. Convert them to decimals
Adding and Subtracting monomials
Dividing Fractions
Comparing Fractions
Length of an Arc
34. Factor out the perfect squares
Surface Area of a Rectangular Solid
Simplifying Square Roots
Circumference of a Circle
Setting up a Ratio
35. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Using the Average to Find the Sum
Circumference of a Circle
Parallel Lines and Transversals
Solving a Quadratic Equation
36. 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
Exponential Growth
Average Formula -
Adding/Subtracting Signed Numbers
Mixed Numbers and Improper Fractions
37. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Characteristics of a Parallelogram
Prime Factorization
PEMDAS
Area of a Triangle
38. 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
Triangle Inequality Theorem
Multiplying and Dividing Roots
The 3-4-5 Triangle
Characteristics of a Parallelogram
39. Probability= Favorable Outcomes/Total Possible Outcomes
Median and Mode
Intersection of sets
Probability
Multiples of 3 and 9
40. Combine equations in such a way that one of the variables cancel out
Interior Angles of a Polygon
Solving a System of Equations
Characteristics of a Parallelogram
Finding the midpoint
41. Use units to keep things straight (make sure you use 1 unit for each thing) Example: use just inches in your cross multiplication - not inches and feet
Average Rate
Remainders
Rate
Adding and Subtracting monomials
42. Multiply the exponents
Setting up a Ratio
Raising Powers to Powers
Multiples of 2 and 4
Direct and Inverse Variation
43. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Solving a Quadratic Equation
Adding/Subtracting Fractions
Finding the Missing Number
Mixed Numbers and Improper Fractions
44. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Using the Average to Find the Sum
Median and Mode
Area of a Sector
Intersecting Lines
45. 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
Area of a Triangle
Finding the Distance Between Two Points
Reciprocal
Average Formula -
46. 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
Multiplying Monomials
Simplifying Square Roots
Isosceles and Equilateral triangles
Solving a Quadratic Equation
47. To divide fractions - invert the second one and multiply
Raising Powers to Powers
Function - Notation - and Evaulation
Characteristics of a Rectangle
Dividing Fractions
48. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Using Two Points to Find the Slope
Union of Sets
Finding the Distance Between Two Points
Median and Mode
49. 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
Multiplying and Dividing Powers
Characteristics of a Square
Direct and Inverse Variation
Volume of a Cylinder
50. 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 Formula -
Comparing Fractions
Relative Primes
Area of a Sector