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. To multiply fractions - multiply the numerators and multiply the denominators
Raising Powers to Powers
Adding/Subtracting Signed Numbers
Multiplying Fractions
Relative Primes
2. Domain: all possible values of x for a function range: all possible outputs of a function
Domain and Range of a Function
Multiplying/Dividing Signed Numbers
Intersecting Lines
Finding the Distance Between Two Points
3. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Prime Factorization
Multiplying and Dividing Roots
Pythagorean Theorem
Mixed Numbers and Improper Fractions
4. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Median and Mode
Interior Angles of a Polygon
Similar Triangles
Finding the Original Whole
5. The smallest multiple (other than zero) that two or more numbers have in common.
Surface Area of a Rectangular Solid
Even/Odd
Finding the midpoint
(Least) Common Multiple
6. 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
Dividing Fractions
Union of Sets
Length of an Arc
Isosceles and Equilateral triangles
7. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
(Least) Common Multiple
Median and Mode
Multiplying Monomials
Multiples of 3 and 9
8. 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
Finding the Original Whole
PEMDAS
Multiplying Fractions
9. 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
Determining Absolute Value
Direct and Inverse Variation
Comparing Fractions
Multiplying/Dividing Signed Numbers
10. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Remainders
Volume of a Cylinder
Factor/Multiple
Finding the Distance Between Two Points
11. 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
Multiplying Monomials
Part-to-Part Ratios and Part-to-Whole Ratios
Average Formula -
Interior and Exterior Angles of a Triangle
12. you can add/subtract when the part under the radical is the same
Average of Evenly Spaced Numbers
Domain and Range of a Function
Adding and Subtracting Roots
Probability
13. 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
Number Categories
Finding the Distance Between Two Points
Volume of a Cylinder
Function - Notation - and Evaulation
14. 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
The 3-4-5 Triangle
Exponential Growth
Reciprocal
Mixed Numbers and Improper Fractions
15. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Counting Consecutive Integers
Relative Primes
Average Formula -
Adding and Subtracting monomials
16. The whole # left over after division
Using an Equation to Find the Slope
Remainders
Average of Evenly Spaced Numbers
Finding the Distance Between Two Points
17. 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
Finding the midpoint
Solving an Inequality
Function - Notation - and Evaulation
Probability
18. To find the reciprocal of a fraction switch the numerator and the denominator
Factor/Multiple
Mixed Numbers and Improper Fractions
(Least) Common Multiple
Reciprocal
19. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Intersection of sets
Evaluating an Expression
Interior and Exterior Angles of a Triangle
Factor/Multiple
20. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Interior Angles of a Polygon
Adding and Subtraction Polynomials
Raising Powers to Powers
Function - Notation - and Evaulation
21. 2pr
Intersecting Lines
Multiplying Fractions
Factor/Multiple
Circumference of a Circle
22. 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
Interior and Exterior Angles of a Triangle
Direct and Inverse Variation
Exponential Growth
Determining Absolute Value
23. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Multiplying and Dividing Roots
PEMDAS
Similar Triangles
Adding and Subtracting monomials
24. 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.
Solving a System of Equations
Factor/Multiple
Area of a Sector
Number Categories
25. 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
The 3-4-5 Triangle
Identifying the Parts and the Whole
Domain and Range of a Function
26. Factor out the perfect squares
Simplifying Square Roots
Adding/Subtracting Fractions
Characteristics of a Square
Relative Primes
27. Change in y/ change in x rise/run
Probability
Similar Triangles
Even/Odd
Using Two Points to Find the Slope
28. Surface Area = 2lw + 2wh + 2lh
Characteristics of a Rectangle
Reducing Fractions
Similar Triangles
Surface Area of a Rectangular Solid
29. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Average of Evenly Spaced Numbers
Dividing Fractions
Characteristics of a Square
Multiples of 2 and 4
30. Add the exponents and keep the same base
Finding the Original Whole
Multiplying and Dividing Powers
Adding and Subtracting Roots
(Least) Common Multiple
31. Sum=(Average) x (Number of Terms)
Using the Average to Find the Sum
Average of Evenly Spaced Numbers
Counting the Possibilities
Evaluating an Expression
32. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Adding/Subtracting Fractions
Similar Triangles
Multiplying and Dividing Roots
Multiplying Fractions
33. 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
Area of a Triangle
The 5-12-13 Triangle
Relative Primes
Even/Odd
34. 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
The 5-12-13 Triangle
Percent Increase and Decrease
Intersecting Lines
The 3-4-5 Triangle
35. (average of the x coordinates - average of the y coordinates)
Even/Odd
Exponential Growth
Finding the Missing Number
Finding the midpoint
36. 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
Rate
Multiples of 2 and 4
Mixed Numbers and Improper Fractions
Counting the Possibilities
37. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Evaluating an Expression
Finding the Distance Between Two Points
Determining Absolute Value
Union of Sets
38. 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)
Volume of a Cylinder
Greatest Common Factor
Area of a Sector
Number Categories
39. Multiply the exponents
The 5-12-13 Triangle
Determining Absolute Value
Union of Sets
Raising Powers to Powers
40. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Parallel Lines and Transversals
Intersection of sets
Reducing Fractions
Average Formula -
41. An arc is a piece of the circumference. If n is the degree measure of the arc's central angle - then the formula is: Length of an Arc = 1 (n/360) (2pr)
Interior Angles of a Polygon
Length of an Arc
Using an Equation to Find an Intercept
Exponential Growth
42. 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
Interior and Exterior Angles of a Triangle
Length of an Arc
Average of Evenly Spaced Numbers
Counting the Possibilities
43. 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
Area of a Circle
Multiplying/Dividing Signed Numbers
Average Formula -
44. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Length of an Arc
Pythagorean Theorem
Even/Odd
45. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Surface Area of a Rectangular Solid
Characteristics of a Rectangle
Union of Sets
Number Categories
46. 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
Multiplying/Dividing Signed Numbers
Multiplying Monomials
Setting up a Ratio
Dividing Fractions
47. For all right triangles: a^2+b^2=c^2
Part-to-Part Ratios and Part-to-Whole Ratios
Pythagorean Theorem
Isosceles and Equilateral triangles
Probability
48. Subtract the smallest from the largest and add 1
Finding the Missing Number
Using the Average to Find the Sum
Volume of a Cylinder
Counting Consecutive Integers
49. 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
Multiplying/Dividing Signed Numbers
Probability
Finding the Original Whole
Similar Triangles
50. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Multiplying and Dividing Powers
Multiples of 3 and 9
Solving an Inequality
Union of Sets