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. The smallest multiple (other than zero) that two or more numbers have in common.
(Least) Common Multiple
Multiplying and Dividing Roots
Area of a Circle
Length of an Arc
2. Surface Area = 2lw + 2wh + 2lh
Surface Area of a Rectangular Solid
Volume of a Cylinder
Multiplying Fractions
Similar Triangles
3. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Domain and Range of a Function
Solving an Inequality
Comparing Fractions
Multiples of 3 and 9
4. 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
The 3-4-5 Triangle
Raising Powers to Powers
Factor/Multiple
The 5-12-13 Triangle
5. The whole # left over after division
Counting Consecutive Integers
Interior and Exterior Angles of a Triangle
Using Two Points to Find the Slope
Remainders
6. 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
Relative Primes
Similar Triangles
Multiples of 3 and 9
Pythagorean Theorem
7. Probability= Favorable Outcomes/Total Possible Outcomes
Adding and Subtracting Roots
Intersecting Lines
Number Categories
Probability
8. 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
Intersecting Lines
Adding/Subtracting Signed Numbers
Greatest Common Factor
Average of Evenly Spaced Numbers
9. 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
Isosceles and Equilateral triangles
Triangle Inequality Theorem
Part-to-Part Ratios and Part-to-Whole Ratios
Pythagorean Theorem
10. To solve a proportion - cross multiply
Solving an Inequality
Triangle Inequality Theorem
Solving a Proportion
Adding/Subtracting Signed Numbers
11. 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
Domain and Range of a Function
Characteristics of a Parallelogram
Function - Notation - and Evaulation
Using Two Points to Find the Slope
12. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Evaluating an Expression
Intersection of sets
Average Rate
Length of an Arc
13. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Using an Equation to Find the Slope
Intersecting Lines
Interior Angles of a Polygon
Finding the Missing Number
14. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Percent Formula
Finding the Missing Number
Multiplying Monomials
Multiplying Fractions
15. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Evaluating an Expression
Average Formula -
Reducing Fractions
Comparing Fractions
16. 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
Counting Consecutive Integers
The 3-4-5 Triangle
Solving a Proportion
Using Two Points to Find the Slope
17. To multiply fractions - multiply the numerators and multiply the denominators
Using Two Points to Find the Slope
Multiplying Fractions
Length of an Arc
Volume of a Rectangular Solid
18. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Multiplying and Dividing Powers
Counting Consecutive Integers
Factor/Multiple
Pythagorean Theorem
19. 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
Multiples of 2 and 4
Finding the Missing Number
Reciprocal
Setting up a Ratio
20. 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
Multiples of 2 and 4
Tangency
Rate
Volume of a Cylinder
21. Volume of a Cylinder = pr^2h
Intersection of sets
Repeating Decimal
Volume of a Cylinder
Domain and Range of a Function
22. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Finding the Distance Between Two Points
Multiplying and Dividing Roots
Comparing Fractions
Average of Evenly Spaced Numbers
23. Add the exponents and keep the same base
Average Formula -
Repeating Decimal
Multiplying and Dividing Powers
Using an Equation to Find the Slope
24. Combine like terms
The 5-12-13 Triangle
Adding and Subtraction Polynomials
Counting Consecutive Integers
Surface Area of a Rectangular Solid
25. Multiply the exponents
Raising Powers to Powers
Multiplying and Dividing Powers
Volume of a Rectangular Solid
Finding the Original Whole
26. 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
Reducing Fractions
Interior and Exterior Angles of a Triangle
Function - Notation - and Evaulation
Volume of a Rectangular Solid
27. Subtract the smallest from the largest and add 1
Repeating Decimal
Relative Primes
Counting Consecutive Integers
The 3-4-5 Triangle
28. 1. Re-express them with common denominators 2. Convert them to decimals
Comparing Fractions
Simplifying Square Roots
Using the Average to Find the Sum
Using an Equation to Find the Slope
29. 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
Mixed Numbers and Improper Fractions
Pythagorean Theorem
The 5-12-13 Triangle
Prime Factorization
30. To divide fractions - invert the second one and multiply
Adding/Subtracting Signed Numbers
Dividing Fractions
Prime Factorization
Determining Absolute Value
31. 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
Determining Absolute Value
Triangle Inequality Theorem
Using Two Points to Find the Slope
Parallel Lines and Transversals
32. Sum=(Average) x (Number of Terms)
Multiples of 3 and 9
Using the Average to Find the Sum
Intersection of sets
(Least) Common Multiple
33. A square is a rectangle with four equal sides; Area of Square = side*side
Probability
Isosceles and Equilateral triangles
Surface Area of a Rectangular Solid
Characteristics of a Square
34. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Union of Sets
Determining Absolute Value
Volume of a Rectangular Solid
Adding and Subtracting monomials
35. 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
Characteristics of a Parallelogram
Finding the Missing Number
Volume of a Rectangular Solid
Even/Odd
36. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
Simplifying Square Roots
Reducing Fractions
Multiplying and Dividing Roots
37. 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
Exponential Growth
Finding the Original Whole
Setting up a Ratio
Triangle Inequality Theorem
38. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Dividing Fractions
Adding/Subtracting Fractions
Characteristics of a Rectangle
Solving a System of Equations
39. 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
Determining Absolute Value
Characteristics of a Parallelogram
Counting Consecutive Integers
Similar Triangles
40. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Reducing Fractions
Tangency
Adding/Subtracting Signed Numbers
Evaluating an Expression
41. 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)
Area of a Sector
Using the Average to Find the Sum
Negative Exponent and Rational Exponent
Finding the Distance Between Two Points
42. 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
Even/Odd
Interior Angles of a Polygon
Isosceles and Equilateral triangles
Combined Percent Increase and Decrease
43. Domain: all possible values of x for a function range: all possible outputs of a function
Direct and Inverse Variation
Domain and Range of a Function
Mixed Numbers and Improper Fractions
Number Categories
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
Characteristics of a Square
Solving an Inequality
Combined Percent Increase and Decrease
Union of Sets
45. For all right triangles: a^2+b^2=c^2
Finding the Distance Between Two Points
Parallel Lines and Transversals
Solving an Inequality
Pythagorean Theorem
46. 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
Length of an Arc
Exponential Growth
Identifying the Parts and the Whole
Characteristics of a Parallelogram
47. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Multiplying/Dividing Signed Numbers
Similar Triangles
Counting the Possibilities
Using the Average to Find the Sum
48. 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
Multiples of 2 and 4
Using an Equation to Find an Intercept
Reducing Fractions
Characteristics of a Rectangle
49. 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
Reducing Fractions
Combined Percent Increase and Decrease
Circumference of a Circle
50. 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
Finding the Missing Number
Identifying the Parts and the Whole
The 5-12-13 Triangle
Part-to-Part Ratios and Part-to-Whole Ratios