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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Subjects
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sat
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math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
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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. Domain: all possible values of x for a function range: all possible outputs of a function
Using an Equation to Find an Intercept
Counting the Possibilities
Domain and Range of a Function
Area of a Circle
2. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Area of a Circle
Multiples of 3 and 9
Adding/Subtracting Fractions
Average of Evenly Spaced Numbers
3. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Reducing Fractions
Identifying the Parts and the Whole
Multiplying and Dividing Roots
Raising Powers to Powers
4. 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
Isosceles and Equilateral triangles
Multiplying and Dividing Roots
Percent Increase and Decrease
Average of Evenly Spaced Numbers
5. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Multiples of 3 and 9
Intersecting Lines
PEMDAS
Interior Angles of a Polygon
6. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Multiplying Monomials
Reducing Fractions
Domain and Range of a Function
Even/Odd
7. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Counting the Possibilities
Using Two Points to Find the Slope
Mixed Numbers and Improper Fractions
Using an Equation to Find the Slope
8. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Exponential Growth
Interior Angles of a Polygon
Multiplying and Dividing Roots
Intersecting Lines
9. 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
Percent Increase and Decrease
Finding the Missing Number
Solving a Quadratic Equation
Characteristics of a Parallelogram
10. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Dividing Fractions
Volume of a Cylinder
Adding/Subtracting Fractions
Negative Exponent and Rational Exponent
11. 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
Exponential Growth
Counting the Possibilities
Repeating Decimal
Direct and Inverse Variation
12. 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)
Even/Odd
Finding the midpoint
Multiples of 3 and 9
Length of an Arc
13. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Mixed Numbers and Improper Fractions
Triangle Inequality Theorem
Similar Triangles
Union of Sets
14. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Surface Area of a Rectangular Solid
Intersection of sets
15. Add the exponents and keep the same base
Multiplying and Dividing Powers
The 5-12-13 Triangle
Surface Area of a Rectangular Solid
Solving a System of Equations
16. Sum=(Average) x (Number of Terms)
Prime Factorization
Using the Average to Find the Sum
Relative Primes
Mixed Numbers and Improper Fractions
17. 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.
Multiplying and Dividing Roots
Prime Factorization
Number Categories
Part-to-Part Ratios and Part-to-Whole Ratios
18. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Raising Powers to Powers
Multiplying Monomials
Surface Area of a Rectangular Solid
PEMDAS
19. 1. Re-express them with common denominators 2. Convert them to decimals
Comparing Fractions
Interior Angles of a Polygon
Greatest Common Factor
Reciprocal
20. 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
Raising Powers to Powers
Triangle Inequality Theorem
Repeating Decimal
Direct and Inverse Variation
21. Subtract the smallest from the largest and add 1
Circumference of a Circle
Adding and Subtracting monomials
Characteristics of a Parallelogram
Counting Consecutive Integers
22. 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
Area of a Circle
Using an Equation to Find an Intercept
Solving a System of Equations
Finding the Missing Number
23. 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
Solving an Inequality
Solving a Proportion
Probability
Isosceles and Equilateral triangles
24. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
Solving an Inequality
Characteristics of a Square
Length of an Arc
25. To multiply fractions - multiply the numerators and multiply the denominators
Raising Powers to Powers
Probability
Multiplying Fractions
Isosceles and Equilateral triangles
26. # 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
Counting Consecutive Integers
Interior Angles of a Polygon
Greatest Common Factor
27. 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
Median and Mode
Isosceles and Equilateral triangles
Percent Formula
Domain and Range of a Function
28. 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
Solving a System of Equations
Simplifying Square Roots
Finding the Original Whole
Part-to-Part Ratios and Part-to-Whole Ratios
29. 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
Pythagorean Theorem
Probability
Triangle Inequality Theorem
Area of a Sector
30. 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
Domain and Range of a Function
Multiplying Fractions
Multiplying/Dividing Signed Numbers
Interior Angles of a Polygon
31. To find the reciprocal of a fraction switch the numerator and the denominator
Area of a Sector
Multiplying and Dividing Roots
Characteristics of a Rectangle
Reciprocal
32. The largest factor that two or more numbers have in common.
Combined Percent Increase and Decrease
Greatest Common Factor
Reciprocal
Multiplying and Dividing Roots
33. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Length of an Arc
Multiplying and Dividing Powers
Volume of a Rectangular Solid
Interior and Exterior Angles of a Triangle
34. Change in y/ change in x rise/run
Area of a Triangle
Greatest Common Factor
Using Two Points to Find the Slope
Number Categories
35. Surface Area = 2lw + 2wh + 2lh
Surface Area of a Rectangular Solid
Adding and Subtraction Polynomials
Relative Primes
Pythagorean Theorem
36. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Exponential Growth
Area of a Circle
Percent Formula
Characteristics of a Rectangle
37. pr^2
Evaluating an Expression
Characteristics of a Square
Area of a Circle
Finding the Original Whole
38. 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 Triangle
Counting Consecutive Integers
Average of Evenly Spaced Numbers
Multiplying Fractions
39. Multiply the exponents
Solving a Proportion
Using Two Points to Find the Slope
Raising Powers to Powers
Multiples of 3 and 9
40. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Multiplying/Dividing Signed Numbers
Factor/Multiple
Solving a System of Equations
Even/Odd
41. (average of the x coordinates - average of the y coordinates)
Greatest Common Factor
Finding the Missing Number
Pythagorean Theorem
Finding the midpoint
42. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Finding the midpoint
Multiples of 2 and 4
Multiplying and Dividing Powers
Finding the Distance Between Two Points
43. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Parallel Lines and Transversals
The 5-12-13 Triangle
Remainders
Reducing Fractions
44. 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
Domain and Range of a Function
Multiples of 2 and 4
Adding and Subtraction Polynomials
Identifying the Parts and the Whole
45. 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
Counting Consecutive Integers
Adding/Subtracting Fractions
Function - Notation - and Evaulation
Setting up a Ratio
46. Probability= Favorable Outcomes/Total Possible Outcomes
Probability
Finding the midpoint
Dividing Fractions
Average Rate
47. For all right triangles: a^2+b^2=c^2
Multiplying Fractions
Adding/Subtracting Fractions
Isosceles and Equilateral triangles
Pythagorean Theorem
48. 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
Reciprocal
Combined Percent Increase and Decrease
Finding the Original Whole
Area of a Sector
49. 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
Length of an Arc
Surface Area of a Rectangular Solid
Characteristics of a Parallelogram
Finding the Original Whole
50. 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
Union of Sets
Prime Factorization
Raising Powers to Powers
Exponential Growth