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. Change in y/ change in x rise/run
Using Two Points to Find the Slope
Solving a Proportion
Percent Formula
Function - Notation - and Evaulation
2. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Finding the midpoint
Volume of a Rectangular Solid
Setting up a Ratio
Average Formula -
3. To multiply fractions - multiply the numerators and multiply the denominators
Adding and Subtracting Roots
Intersection of sets
(Least) Common Multiple
Multiplying Fractions
4. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Using the Average to Find the Sum
The 5-12-13 Triangle
Combined Percent Increase and Decrease
Factor/Multiple
5. 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
Area of a Sector
Relative Primes
6. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Setting up a Ratio
Remainders
PEMDAS
Surface Area of a Rectangular Solid
7. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Using the Average to Find the Sum
Percent Increase and Decrease
Parallel Lines and Transversals
Function - Notation - and Evaulation
8. 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
Even/Odd
Average Rate
Multiplying and Dividing Powers
Rate
9. Probability= Favorable Outcomes/Total Possible Outcomes
Multiplying/Dividing Signed Numbers
Multiples of 2 and 4
Solving a Quadratic Equation
Probability
10. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Finding the Distance Between Two Points
Triangle Inequality Theorem
Solving a Quadratic Equation
Similar Triangles
11. 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
Exponential Growth
Adding/Subtracting Signed Numbers
Isosceles and Equilateral triangles
Pythagorean Theorem
12. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Tangency
Multiples of 2 and 4
Multiplying and Dividing Roots
Adding/Subtracting Signed Numbers
13. 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
Repeating Decimal
Determining Absolute Value
Finding the midpoint
14. (average of the x coordinates - average of the y coordinates)
Finding the midpoint
Greatest Common Factor
Adding and Subtracting Roots
Function - Notation - and Evaulation
15. 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
Using Two Points to Find the Slope
Average of Evenly Spaced Numbers
Rate
16. Multiply the exponents
The 3-4-5 Triangle
Parallel Lines and Transversals
Raising Powers to Powers
Average of Evenly Spaced Numbers
17. Domain: all possible values of x for a function range: all possible outputs of a function
Solving a Proportion
Characteristics of a Square
Domain and Range of a Function
Evaluating an Expression
18. To solve a proportion - cross multiply
Solving a Proportion
Finding the Missing Number
Counting the Possibilities
Reducing Fractions
19. 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
Surface Area of a Rectangular Solid
Union of Sets
Area of a Triangle
Remainders
20. 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
Similar Triangles
Union of Sets
Solving a Quadratic Equation
The 3-4-5 Triangle
21. 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
Exponential Growth
Interior and Exterior Angles of a Triangle
Part-to-Part Ratios and Part-to-Whole Ratios
Percent Increase and Decrease
22. Volume of a Cylinder = pr^2h
Adding and Subtracting Roots
Parallel Lines and Transversals
Volume of a Cylinder
Solving a Quadratic Equation
23. A square is a rectangle with four equal sides; Area of Square = side*side
Percent Increase and Decrease
Pythagorean Theorem
Multiplying Fractions
Characteristics of a Square
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
Mixed Numbers and Improper Fractions
Intersection of sets
Evaluating an Expression
Domain and Range of a Function
25. pr^2
Area of a Circle
Repeating Decimal
Multiplying and Dividing Roots
Comparing Fractions
26. To find the reciprocal of a fraction switch the numerator and the denominator
(Least) Common Multiple
Identifying the Parts and the Whole
Raising Powers to Powers
Reciprocal
27. Sum=(Average) x (Number of Terms)
Determining Absolute Value
Using the Average to Find the Sum
Average Formula -
Rate
28. Surface Area = 2lw + 2wh + 2lh
Interior and Exterior Angles of a Triangle
Percent Increase and Decrease
Surface Area of a Rectangular Solid
Direct and Inverse Variation
29. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Average Formula -
Number Categories
Prime Factorization
Characteristics of a Rectangle
30. 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
Counting the Possibilities
Remainders
Greatest Common Factor
Adding and Subtracting monomials
31. 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
Domain and Range of a Function
Pythagorean Theorem
Length of an Arc
32. 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
Average Formula -
Multiplying/Dividing Signed Numbers
Area of a Triangle
Part-to-Part Ratios and Part-to-Whole Ratios
33. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Characteristics of a Rectangle
Solving a Quadratic Equation
Characteristics of a Square
Parallel Lines and Transversals
34. 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
Characteristics of a Square
Counting Consecutive Integers
Function - Notation - and Evaulation
The 5-12-13 Triangle
35. 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
Using an Equation to Find the Slope
Area of a Sector
Finding the Original Whole
36. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Characteristics of a Square
Solving a Proportion
Raising Powers to Powers
Intersecting Lines
37. 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
Counting the Possibilities
Interior and Exterior Angles of a Triangle
Comparing Fractions
Rate
38. 2pr
Average Rate
Circumference of a Circle
Greatest Common Factor
Using an Equation to Find an Intercept
39. 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 Fractions
Direct and Inverse Variation
Even/Odd
Characteristics of a Square
40. 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
Greatest Common Factor
Multiplying and Dividing Roots
Even/Odd
Identifying the Parts and the Whole
41. 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
Average Formula -
Interior and Exterior Angles of a Triangle
Dividing Fractions
Area of a Sector
42. Combine like terms
Greatest Common Factor
Domain and Range of a Function
Adding and Subtraction Polynomials
Multiplying Monomials
43. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Dividing Fractions
Evaluating an Expression
Multiples of 2 and 4
Solving an Inequality
44. Part = Percent x Whole
Percent Formula
Mixed Numbers and Improper Fractions
Characteristics of a Rectangle
Simplifying Square Roots
45. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Relative Primes
Average Rate
Using Two Points to Find the Slope
Function - Notation - and Evaulation
46. For all right triangles: a^2+b^2=c^2
Average of Evenly Spaced Numbers
Adding and Subtraction Polynomials
Pythagorean Theorem
Adding and Subtracting Roots
47. 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
Reciprocal
Greatest Common Factor
Direct and Inverse Variation
48. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Interior Angles of a Polygon
PEMDAS
Multiples of 2 and 4
Surface Area of a Rectangular Solid
49. Combine equations in such a way that one of the variables cancel out
Adding and Subtracting monomials
Even/Odd
Prime Factorization
Solving a System of Equations
50. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Circumference of a Circle
Characteristics of a Square
Interior and Exterior Angles of a Triangle
Average Formula -