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. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Multiplying Fractions
Area of a Sector
Solving an Inequality
2. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
Determining Absolute Value
Using the Average to Find the Sum
Simplifying Square Roots
3. Sum=(Average) x (Number of Terms)
Domain and Range of a Function
Multiplying and Dividing Roots
Isosceles and Equilateral triangles
Using the Average to Find the Sum
4. 2pr
Circumference of a Circle
Using the Average to Find the Sum
Factor/Multiple
Prime Factorization
5. 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
Characteristics of a Parallelogram
PEMDAS
The 5-12-13 Triangle
Domain and Range of a Function
6. Combine like terms
Volume of a Cylinder
Using an Equation to Find an Intercept
Adding and Subtraction Polynomials
Average of Evenly Spaced Numbers
7. To find the reciprocal of a fraction switch the numerator and the denominator
Comparing Fractions
Percent Increase and Decrease
Volume of a Rectangular Solid
Reciprocal
8. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Finding the Distance Between Two Points
Average Rate
Finding the Missing Number
Simplifying Square Roots
9. 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
Adding and Subtraction Polynomials
Area of a Circle
Triangle Inequality Theorem
Multiples of 2 and 4
10. 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
Probability
Comparing Fractions
Evaluating an Expression
Combined Percent Increase and Decrease
11. To divide fractions - invert the second one and multiply
Dividing Fractions
Prime Factorization
Combined Percent Increase and Decrease
Finding the midpoint
12. 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
Adding/Subtracting Signed Numbers
Multiplying/Dividing Signed Numbers
Number Categories
PEMDAS
13. 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
Using the Average to Find the Sum
Characteristics of a Parallelogram
Area of a Sector
Counting the Possibilities
14. 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
Solving a Quadratic Equation
Greatest Common Factor
Part-to-Part Ratios and Part-to-Whole Ratios
Function - Notation - and Evaulation
15. 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
The 3-4-5 Triangle
Rate
Using an Equation to Find an Intercept
Relative Primes
16. 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
Simplifying Square Roots
Direct and Inverse Variation
Multiplying and Dividing Roots
17. The smallest multiple (other than zero) that two or more numbers have in common.
Solving a System of Equations
Pythagorean Theorem
(Least) Common Multiple
Finding the Distance Between Two Points
18. 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)
Reciprocal
Length of an Arc
Multiples of 3 and 9
Solving an Inequality
19. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Adding/Subtracting Signed Numbers
Adding/Subtracting Fractions
(Least) Common Multiple
Number Categories
20. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Multiplying Fractions
Surface Area of a Rectangular Solid
Remainders
21. 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
Negative Exponent and Rational Exponent
Even/Odd
Volume of a Rectangular Solid
Union of Sets
22. 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.
Length of an Arc
Number Categories
Area of a Triangle
Parallel Lines and Transversals
23. 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 Two Points to Find the Slope
Finding the Original Whole
Using an Equation to Find the Slope
Identifying the Parts and the Whole
24. Part = Percent x Whole
Raising Powers to Powers
Negative Exponent and Rational Exponent
Percent Formula
Reducing Fractions
25. Domain: all possible values of x for a function range: all possible outputs of a function
Domain and Range of a Function
Multiples of 3 and 9
Parallel Lines and Transversals
Adding/Subtracting Signed Numbers
26. 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
Counting the Possibilities
Volume of a Cylinder
Multiplying and Dividing Roots
27. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
Pythagorean Theorem
Solving a Proportion
Median and Mode
28. 1. Re-express them with common denominators 2. Convert them to decimals
Finding the midpoint
PEMDAS
Evaluating an Expression
Comparing Fractions
29. 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
Adding/Subtracting Signed Numbers
Multiplying and Dividing Powers
Multiplying and Dividing Roots
Repeating Decimal
30. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Direct and Inverse Variation
Mixed Numbers and Improper Fractions
Union of Sets
Finding the Distance Between Two Points
31. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Median and Mode
Repeating Decimal
PEMDAS
Intersecting Lines
32. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Average Formula -
Median and Mode
Determining Absolute Value
Multiplying and Dividing Roots
33. 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
Characteristics of a Square
Multiplying Monomials
Finding the Distance Between Two Points
34. 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
Comparing Fractions
Probability
Characteristics of a Parallelogram
Multiples of 2 and 4
35. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Multiplying Monomials
Negative Exponent and Rational Exponent
Evaluating an Expression
Finding the Distance Between Two Points
36. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Exponential Growth
Reducing Fractions
The 3-4-5 Triangle
Part-to-Part Ratios and Part-to-Whole Ratios
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
Prime Factorization
Multiplying Monomials
Rate
Multiplying Fractions
38. (average of the x coordinates - average of the y coordinates)
Tangency
Finding the Original Whole
Even/Odd
Finding the midpoint
39. 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
Solving an Inequality
Interior Angles of a Polygon
Solving a Proportion
40. 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 Monomials
Percent Increase and Decrease
Number Categories
Circumference of a Circle
41. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Mixed Numbers and Improper Fractions
Prime Factorization
Multiples of 2 and 4
Domain and Range of a Function
42. 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
Using an Equation to Find the Slope
Triangle Inequality Theorem
Counting the Possibilities
Using an Equation to Find an Intercept
43. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Domain and Range of a Function
Adding/Subtracting Fractions
Tangency
Multiples of 2 and 4
44. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Finding the Original Whole
Finding the Missing Number
Interior and Exterior Angles of a Triangle
45. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Parallel Lines and Transversals
Prime Factorization
Volume of a Rectangular Solid
Determining Absolute Value
46. Combine equations in such a way that one of the variables cancel out
Identifying the Parts and the Whole
Simplifying Square Roots
Solving a System of Equations
Using Two Points to Find the Slope
47. 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
Adding and Subtracting monomials
Characteristics of a Parallelogram
Reducing Fractions
Function - Notation - and Evaulation
48. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Rate
Finding the Distance Between Two Points
Volume of a Cylinder
Parallel Lines and Transversals
49. Multiply the exponents
The 3-4-5 Triangle
Mixed Numbers and Improper Fractions
Raising Powers to Powers
Tangency
50. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
PEMDAS
Using the Average to Find the Sum
Evaluating an Expression
Relative Primes