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Test your basic knowledge |
SAT Math: Concepts And Tricks
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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 combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Relative Primes
The 3-4-5 Triangle
Multiplying and Dividing Powers
Adding and Subtracting monomials
2. To solve a proportion - cross multiply
Solving a Proportion
Interior and Exterior Angles of a Triangle
Isosceles and Equilateral triangles
Comparing Fractions
3. 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
Solving a Quadratic Equation
Union of Sets
Using an Equation to Find an Intercept
Multiples of 2 and 4
4. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Remainders
Multiplying and Dividing Roots
Adding and Subtraction Polynomials
Adding/Subtracting Fractions
5. 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
(Least) Common Multiple
Triangle Inequality Theorem
Volume of a Cylinder
6. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Adding/Subtracting Fractions
Mixed Numbers and Improper Fractions
Median and Mode
Raising Powers to Powers
7. 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
Area of a Sector
Multiplying Fractions
Solving an Inequality
Area of a Triangle
8. 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
Multiplying/Dividing Signed Numbers
Average Formula -
Exponential Growth
Negative Exponent and Rational Exponent
9. 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 5-12-13 Triangle
Finding the midpoint
Raising Powers to Powers
Negative Exponent and Rational Exponent
10. Combine like terms
Using an Equation to Find the Slope
Identifying the Parts and the Whole
Similar Triangles
Adding and Subtraction Polynomials
11. (average of the x coordinates - average of the y coordinates)
Average of Evenly Spaced Numbers
Adding and Subtracting Roots
Circumference of a Circle
Finding the midpoint
12. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Counting Consecutive Integers
Greatest Common Factor
Percent Increase and Decrease
Similar Triangles
13. 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
Characteristics of a Rectangle
Finding the Distance Between Two Points
Similar Triangles
Direct and Inverse Variation
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
Area of a Sector
Median and Mode
Part-to-Part Ratios and Part-to-Whole Ratios
Percent Increase and Decrease
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
Multiplying Fractions
Median and Mode
Exponential Growth
Repeating Decimal
16. 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
Area of a Triangle
Simplifying Square Roots
Finding the Missing Number
Even/Odd
17. 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
Function - Notation - and Evaulation
Exponential Growth
Adding/Subtracting Fractions
Percent Increase and Decrease
18. 2pr
Interior and Exterior Angles of a Triangle
Negative Exponent and Rational Exponent
Circumference of a Circle
Counting the Possibilities
19. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Interior Angles of a Polygon
Circumference of a Circle
Comparing Fractions
Using an Equation to Find the Slope
20. Combine equations in such a way that one of the variables cancel out
Solving a System of Equations
Evaluating an Expression
Isosceles and Equilateral triangles
Domain and Range of a Function
21. 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
Mixed Numbers and Improper Fractions
Greatest Common Factor
Interior and Exterior Angles of a Triangle
Characteristics of a Parallelogram
22. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Median and Mode
Average Formula -
The 5-12-13 Triangle
Number Categories
23. # 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
Number Categories
Solving a Proportion
Mixed Numbers and Improper Fractions
24. Domain: all possible values of x for a function range: all possible outputs of a function
Similar Triangles
Volume of a Cylinder
Domain and Range of a Function
Characteristics of a Parallelogram
25. Sum=(Average) x (Number of Terms)
Parallel Lines and Transversals
Solving an Inequality
Using the Average to Find the Sum
Simplifying Square Roots
26. 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
Direct and Inverse Variation
Multiples of 2 and 4
The 3-4-5 Triangle
Identifying the Parts and the Whole
27. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Multiples of 3 and 9
Characteristics of a Parallelogram
Percent Increase and Decrease
Relative Primes
28. The smallest multiple (other than zero) that two or more numbers have in common.
Part-to-Part Ratios and Part-to-Whole Ratios
(Least) Common Multiple
Intersecting Lines
Solving a System of Equations
29. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Raising Powers to Powers
Adding/Subtracting Fractions
Determining Absolute Value
Average Formula -
30. 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 2 and 4
Determining Absolute Value
Intersection of sets
Surface Area of a Rectangular Solid
31. Change in y/ change in x rise/run
Percent Increase and Decrease
Area of a Triangle
The 5-12-13 Triangle
Using Two Points to Find the Slope
32. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Multiples of 3 and 9
Parallel Lines and Transversals
Multiplying/Dividing Signed Numbers
Median and Mode
33. 1. Re-express them with common denominators 2. Convert them to decimals
Number Categories
Area of a Circle
Comparing Fractions
Domain and Range of a Function
34. you can add/subtract when the part under the radical is the same
Area of a Sector
Adding and Subtracting Roots
Median and Mode
Repeating Decimal
35. 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
Solving a System of Equations
Average of Evenly Spaced Numbers
Mixed Numbers and Improper Fractions
36. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Factor/Multiple
Percent Increase and Decrease
Median and Mode
Multiplying and Dividing Powers
37. To divide fractions - invert the second one and multiply
(Least) Common Multiple
Intersection of sets
Length of an Arc
Dividing Fractions
38. Multiply the exponents
Median and Mode
Raising Powers to Powers
Multiplying Monomials
Determining Absolute Value
39. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Rate
Determining Absolute Value
Negative Exponent and Rational Exponent
Triangle Inequality Theorem
40. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Area of a Sector
Reducing Fractions
Determining Absolute Value
Domain and Range of a Function
41. 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
Simplifying Square Roots
Percent Increase and Decrease
Comparing Fractions
Adding and Subtracting Roots
42. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
PEMDAS
Median and Mode
Interior Angles of a Polygon
Part-to-Part Ratios and Part-to-Whole Ratios
43. The largest factor that two or more numbers have in common.
Percent Formula
Adding and Subtraction Polynomials
Greatest Common Factor
Function - Notation - and Evaulation
44. Part = Percent x Whole
Multiplying and Dividing Powers
Percent Formula
Using Two Points to Find the Slope
Average Rate
45. To multiply fractions - multiply the numerators and multiply the denominators
Union of Sets
Average Rate
Solving a Proportion
Multiplying Fractions
46. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Repeating Decimal
The 5-12-13 Triangle
Intersection of sets
Intersecting Lines
47. 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)
Remainders
Area of a Sector
Using the Average to Find the Sum
Domain and Range of a Function
48. 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
Solving a System of Equations
Reciprocal
Interior Angles of a Polygon
Adding/Subtracting Signed Numbers
49. Probability= Favorable Outcomes/Total Possible Outcomes
Finding the midpoint
Circumference of a Circle
Probability
Characteristics of a Parallelogram
50. 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
Multiplying/Dividing Signed Numbers
Solving an Inequality
Rate
Intersection of sets