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. A square is a rectangle with four equal sides; Area of Square = side*side
Domain and Range of a Function
Characteristics of a Square
Setting up a Ratio
Percent Formula
2. Multiply the exponents
Finding the Original Whole
Multiplying/Dividing Signed Numbers
Raising Powers to Powers
Factor/Multiple
3. The largest factor that two or more numbers have in common.
Greatest Common Factor
Prime Factorization
Probability
Finding the Distance Between Two Points
4. 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
Triangle Inequality Theorem
Repeating Decimal
Multiplying and Dividing Powers
5. 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
Adding and Subtraction Polynomials
Multiplying/Dividing Signed Numbers
Using an Equation to Find an Intercept
Finding the midpoint
6. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Multiplying Fractions
Multiples of 2 and 4
Area of a Sector
Multiplying and Dividing Roots
7. 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
Mixed Numbers and Improper Fractions
Adding and Subtraction Polynomials
Solving an Inequality
Characteristics of a Square
8. To find the reciprocal of a fraction switch the numerator and the denominator
Area of a Triangle
The 3-4-5 Triangle
Circumference of a Circle
Reciprocal
9. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
(Least) Common Multiple
Greatest Common Factor
Adding/Subtracting Fractions
Raising Powers to Powers
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
Median and Mode
Multiplying and Dividing Roots
Surface Area of a Rectangular Solid
Using an Equation to Find the Slope
11. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Determining Absolute Value
Using the Average to Find the Sum
Evaluating an Expression
Multiplying Monomials
12. 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
Solving a Quadratic Equation
Identifying the Parts and the Whole
Combined Percent Increase and Decrease
13. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
The 5-12-13 Triangle
Multiplying and Dividing Roots
Determining Absolute Value
Area of a Sector
14. Combine equations in such a way that one of the variables cancel out
Solving a System of Equations
Adding/Subtracting Fractions
Finding the Original Whole
Solving an Inequality
15. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Adding and Subtracting monomials
Multiplying and Dividing Roots
Relative Primes
Counting Consecutive Integers
16. Surface Area = 2lw + 2wh + 2lh
Average Formula -
Reciprocal
Identifying the Parts and the Whole
Surface Area of a Rectangular Solid
17. you can add/subtract when the part under the radical is the same
Area of a Sector
Intersecting Lines
Adding and Subtracting Roots
Area of a Triangle
18. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Comparing Fractions
Counting Consecutive Integers
Multiplying Monomials
Prime Factorization
19. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Circumference of a Circle
Intersecting Lines
The 3-4-5 Triangle
Area of a Triangle
20. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Parallel Lines and Transversals
Finding the midpoint
Surface Area of a Rectangular Solid
Reducing Fractions
21. 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 Consecutive Integers
Remainders
Counting the Possibilities
Solving an Inequality
22. 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
Isosceles and Equilateral triangles
Triangle Inequality Theorem
Interior and Exterior Angles of a Triangle
Average Formula -
23. Factor out the perfect squares
Simplifying Square Roots
Using an Equation to Find the Slope
Solving an Inequality
Median and Mode
24. The smallest multiple (other than zero) that two or more numbers have in common.
Identifying the Parts and the Whole
Intersection of sets
PEMDAS
(Least) Common Multiple
25. Part = Percent x Whole
Using an Equation to Find an Intercept
Solving a System of Equations
Percent Formula
Determining Absolute Value
26. 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
Function - Notation - and Evaulation
Finding the Missing Number
Finding the Distance Between Two Points
27. 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
Adding and Subtracting monomials
Function - Notation - and Evaulation
Reciprocal
Identifying the Parts and the Whole
28. Sum=(Average) x (Number of Terms)
Using the Average to Find the Sum
Setting up a Ratio
Combined Percent Increase and Decrease
Interior and Exterior Angles of a Triangle
29. 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
Isosceles and Equilateral triangles
Exponential Growth
Adding and Subtracting monomials
Finding the Distance Between Two Points
30. 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
Area of a Triangle
Number Categories
Finding the Original Whole
31. 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
Isosceles and Equilateral triangles
Repeating Decimal
Average of Evenly Spaced Numbers
Finding the Distance Between Two Points
32. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Multiplying/Dividing Signed Numbers
PEMDAS
Tangency
Setting up a Ratio
33. Combine like terms
Multiplying Monomials
Average Rate
Adding and Subtraction Polynomials
Simplifying Square Roots
34. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Number Categories
Counting Consecutive Integers
Average Rate
Pythagorean Theorem
35. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Using an Equation to Find an Intercept
Finding the Distance Between Two Points
Area of a Circle
Area of a Sector
36. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Multiples of 3 and 9
PEMDAS
Similar Triangles
Intersection of sets
37. 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
Solving a Proportion
Even/Odd
Intersecting Lines
Multiples of 2 and 4
38. 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
Combined Percent Increase and Decrease
Exponential Growth
Area of a Sector
Average Formula -
39. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Function - Notation - and Evaulation
PEMDAS
Circumference of a Circle
Solving an Inequality
40. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Even/Odd
Repeating Decimal
Circumference of a Circle
Union of Sets
41. 1. Re-express them with common denominators 2. Convert them to decimals
Identifying the Parts and the Whole
Greatest Common Factor
Comparing Fractions
Adding and Subtraction Polynomials
42. 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
Multiplying/Dividing Signed Numbers
Interior and Exterior Angles of a Triangle
Percent Increase and Decrease
Multiplying Fractions
43. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Similar Triangles
Solving a Proportion
Multiplying/Dividing Signed Numbers
Solving a Quadratic Equation
44. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Multiplying and Dividing Powers
Finding the Missing Number
Volume of a Cylinder
Multiplying Monomials
45. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Median and Mode
Percent Increase and Decrease
Solving an Inequality
Solving a Quadratic Equation
46. 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
Circumference of a Circle
The 5-12-13 Triangle
Greatest Common Factor
Setting up a Ratio
47. 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 3 and 9
Domain and Range of a Function
Solving an Inequality
48. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Rate
Identifying the Parts and the Whole
Interior Angles of a Polygon
Multiplying and Dividing Powers
49. The whole # left over after division
Remainders
Adding/Subtracting Fractions
Triangle Inequality Theorem
Mixed Numbers and Improper Fractions
50. Subtract the smallest from the largest and add 1
Finding the midpoint
Counting Consecutive Integers
Reducing Fractions
Multiplying Fractions