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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
.
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. Surface Area = 2lw + 2wh + 2lh
Volume of a Cylinder
Surface Area of a Rectangular Solid
Percent Increase and Decrease
Median and Mode
2. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Characteristics of a Square
Using an Equation to Find the Slope
Intersection of sets
Pythagorean Theorem
3. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Triangle Inequality Theorem
Volume of a Rectangular Solid
Number Categories
Area of a Sector
4. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Parallel Lines and Transversals
Using Two Points to Find the Slope
Dividing Fractions
Rate
5. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Exponential Growth
Using an Equation to Find the Slope
Even/Odd
6. 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
Circumference of a Circle
Characteristics of a Parallelogram
PEMDAS
7. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Exponential Growth
Adding/Subtracting Fractions
Repeating Decimal
Finding the Distance Between Two Points
8. 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
Tangency
Isosceles and Equilateral triangles
Area of a Sector
Solving a Quadratic Equation
9. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Multiplying Fractions
Number Categories
Raising Powers to Powers
Similar Triangles
10. 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
Adding/Subtracting Signed Numbers
Exponential Growth
Characteristics of a Square
11. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Union of Sets
Characteristics of a Parallelogram
Volume of a Cylinder
Adding and Subtracting monomials
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
Multiplying Monomials
Identifying the Parts and the Whole
Multiplying/Dividing Signed Numbers
Function - Notation - and Evaulation
13. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Average Rate
Finding the Original Whole
Solving a System of Equations
Union of Sets
14. To divide fractions - invert the second one and multiply
Characteristics of a Parallelogram
Using an Equation to Find an Intercept
Isosceles and Equilateral triangles
Dividing Fractions
15. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Probability
Characteristics of a Rectangle
Intersection of sets
Comparing Fractions
16. 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
Characteristics of a Square
Raising Powers to Powers
Mixed Numbers and Improper Fractions
17. 2pr
Finding the Missing Number
Circumference of a Circle
Triangle Inequality Theorem
Rate
18. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Direct and Inverse Variation
Greatest Common Factor
Dividing Fractions
Characteristics of a Rectangle
19. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Solving an Inequality
Median and Mode
Multiplying and Dividing Powers
Adding and Subtraction Polynomials
20. Multiply the exponents
Surface Area of a Rectangular Solid
Pythagorean Theorem
Volume of a Cylinder
Raising Powers to Powers
21. Sum=(Average) x (Number of Terms)
Direct and Inverse Variation
Using the Average to Find the Sum
Using an Equation to Find an Intercept
Average of Evenly Spaced Numbers
22. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Counting the Possibilities
Average Rate
Tangency
Median and Mode
23. Part = Percent x Whole
Solving an Inequality
The 3-4-5 Triangle
PEMDAS
Percent Formula
24. 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
Parallel Lines and Transversals
Comparing Fractions
Union of Sets
25. Probability= Favorable Outcomes/Total Possible Outcomes
Length of an Arc
Probability
Circumference of a Circle
Tangency
26. 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
Repeating Decimal
Mixed Numbers and Improper Fractions
Even/Odd
Area of a Triangle
27. 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
Average of Evenly Spaced Numbers
Counting the Possibilities
Raising Powers to Powers
Multiplying Monomials
28. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Pythagorean Theorem
Combined Percent Increase and Decrease
Adding and Subtracting monomials
Multiplying and Dividing Roots
29. 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
Identifying the Parts and the Whole
Adding and Subtracting monomials
Multiplying and Dividing Powers
Union of Sets
30. 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 Fractions
Solving an Inequality
Mixed Numbers and Improper Fractions
Using an Equation to Find the Slope
31. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Characteristics of a Parallelogram
Factor/Multiple
Multiples of 2 and 4
Percent Increase and Decrease
32. The smallest multiple (other than zero) that two or more numbers have in common.
Dividing Fractions
(Least) Common Multiple
Surface Area of a Rectangular Solid
Adding and Subtracting monomials
33. 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
Multiplying Fractions
Adding/Subtracting Signed Numbers
Solving a Proportion
Pythagorean Theorem
34. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Using the Average to Find the Sum
Evaluating an Expression
Adding and Subtracting Roots
35. 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
Surface Area of a Rectangular Solid
Prime Factorization
Characteristics of a Square
Combined Percent Increase and Decrease
36. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Solving a Quadratic Equation
Using an Equation to Find the Slope
Multiplying Monomials
Tangency
37. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Reducing Fractions
The 3-4-5 Triangle
Prime Factorization
Area of a Circle
38. A square is a rectangle with four equal sides; Area of Square = side*side
Multiples of 2 and 4
The 5-12-13 Triangle
Circumference of a Circle
Characteristics of a Square
39. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Intersecting Lines
Relative Primes
Direct and Inverse Variation
Adding/Subtracting Signed Numbers
40. 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 System of Equations
Using an Equation to Find an Intercept
Negative Exponent and Rational Exponent
Multiplying Fractions
41. 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
Raising Powers to Powers
Determining Absolute Value
Finding the Original Whole
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
Pythagorean Theorem
Multiples of 2 and 4
Solving an Inequality
Percent Increase and Decrease
43. 1. Re-express them with common denominators 2. Convert them to decimals
Comparing Fractions
Solving a Quadratic Equation
Characteristics of a Parallelogram
Adding and Subtraction Polynomials
44. Factor out the perfect squares
Simplifying Square Roots
Multiples of 3 and 9
Adding and Subtracting monomials
Solving a Proportion
45. (average of the x coordinates - average of the y coordinates)
Finding the Missing Number
Finding the midpoint
The 3-4-5 Triangle
Counting Consecutive Integers
46. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Prime Factorization
Adding/Subtracting Signed Numbers
Pythagorean Theorem
Interior Angles of a Polygon
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
Even/Odd
Function - Notation - and Evaulation
Average Rate
Simplifying Square Roots
48. 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
(Least) Common Multiple
Average of Evenly Spaced Numbers
Characteristics of a Parallelogram
49. 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
Length of an Arc
Counting Consecutive Integers
Repeating Decimal
Adding/Subtracting Signed Numbers
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
Similar Triangles
Multiplying Monomials
Finding the Missing Number
Exponential Growth