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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. 2pr
Multiples of 3 and 9
Comparing Fractions
Circumference of a Circle
Union of Sets
2. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Simplifying Square Roots
Average of Evenly Spaced Numbers
Average Rate
Characteristics of a Parallelogram
3. Combine equations in such a way that one of the variables cancel out
Rate
Solving a Proportion
Finding the Missing Number
Solving a System of Equations
4. 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
Function - Notation - and Evaulation
Using an Equation to Find an Intercept
Surface Area of a Rectangular Solid
Counting Consecutive Integers
5. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Triangle Inequality Theorem
Identifying the Parts and the Whole
Prime Factorization
Comparing Fractions
6. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
(Least) Common Multiple
Finding the Missing Number
Similar Triangles
Mixed Numbers and Improper Fractions
7. 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
Reducing Fractions
Finding the Original Whole
Finding the midpoint
Identifying the Parts and the Whole
8. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Using an Equation to Find an Intercept
Mixed Numbers and Improper Fractions
Solving an Inequality
Characteristics of a Rectangle
9. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Mixed Numbers and Improper Fractions
Evaluating an Expression
Surface Area of a Rectangular Solid
Average Rate
10. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Characteristics of a Parallelogram
Area of a Circle
Dividing Fractions
Average Rate
11. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Triangle Inequality Theorem
Interior and Exterior Angles of a Triangle
Solving an Inequality
Median and Mode
12. 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
Mixed Numbers and Improper Fractions
Interior and Exterior Angles of a Triangle
Combined Percent Increase and Decrease
Using an Equation to Find the Slope
13. 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.
Probability
Number Categories
Characteristics of a Square
Using the Average to Find the Sum
14. 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
(Least) Common Multiple
Adding/Subtracting Signed Numbers
Multiplying and Dividing Powers
Parallel Lines and Transversals
15. 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
Average of Evenly Spaced Numbers
Interior Angles of a Polygon
Multiplying and Dividing Powers
Interior and Exterior Angles of a Triangle
16. To divide fractions - invert the second one and multiply
Intersection of sets
Characteristics of a Parallelogram
Dividing Fractions
Percent Increase and Decrease
17. Factor out the perfect squares
Domain and Range of a Function
Determining Absolute Value
Simplifying Square Roots
Finding the Missing Number
18. 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
Finding the Original Whole
Even/Odd
Volume of a Rectangular Solid
Using an Equation to Find an Intercept
19. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Reciprocal
Probability
Adding/Subtracting Fractions
Multiples of 2 and 4
20. 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
Prime Factorization
Median and Mode
Determining Absolute Value
Solving an Inequality
21. Domain: all possible values of x for a function range: all possible outputs of a function
Function - Notation - and Evaulation
Evaluating an Expression
Relative Primes
Domain and Range of a Function
22. 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
Rate
Characteristics of a Parallelogram
Tangency
Multiplying Monomials
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
Union of Sets
Adding and Subtracting Roots
Area of a Sector
24. Probability= Favorable Outcomes/Total Possible Outcomes
Factor/Multiple
Multiplying Fractions
Probability
Counting Consecutive Integers
25. Sum=(Average) x (Number of Terms)
Using the Average to Find the Sum
Setting up a Ratio
Average Formula -
Multiplying/Dividing Signed Numbers
26. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Adding and Subtracting Roots
Multiples of 2 and 4
Adding and Subtracting monomials
Using an Equation to Find an Intercept
27. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Negative Exponent and Rational Exponent
Combined Percent Increase and Decrease
Dividing Fractions
Volume of a Rectangular Solid
28. 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
Multiples of 2 and 4
Repeating Decimal
Multiplying/Dividing Signed Numbers
Probability
29. Part = Percent x Whole
Percent Formula
Using an Equation to Find an Intercept
Rate
Adding and Subtracting monomials
30. 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
Average of Evenly Spaced Numbers
The 5-12-13 Triangle
Volume of a Cylinder
Finding the Missing Number
31. Volume of a Cylinder = pr^2h
Multiplying and Dividing Powers
Volume of a Cylinder
Using an Equation to Find an Intercept
Solving an Inequality
32. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
PEMDAS
Tangency
Greatest Common Factor
Isosceles and Equilateral triangles
33. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Similar Triangles
Circumference of a Circle
Intersection of sets
Multiplying and Dividing Roots
34. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Volume of a Cylinder
Finding the Missing Number
Finding the Distance Between Two Points
Multiplying Monomials
35. pr^2
Using an Equation to Find an Intercept
Adding and Subtraction Polynomials
Simplifying Square Roots
Area of a Circle
36. For all right triangles: a^2+b^2=c^2
Pythagorean Theorem
Exponential Growth
Adding/Subtracting Signed Numbers
Triangle Inequality Theorem
37. 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
Reducing Fractions
Probability
Isosceles and Equilateral triangles
Adding and Subtraction Polynomials
38. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Tangency
Similar Triangles
Combined Percent Increase and Decrease
Length of an Arc
39. The largest factor that two or more numbers have in common.
Solving a Quadratic Equation
Greatest Common Factor
Reducing Fractions
Using Two Points to Find the Slope
40. 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
Average Formula -
Reciprocal
Solving a Quadratic Equation
41. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Length of an Arc
Finding the Distance Between Two Points
Domain and Range of a Function
Intersecting Lines
42. To multiply fractions - multiply the numerators and multiply the denominators
Median and Mode
Volume of a Cylinder
Multiplying Fractions
Pythagorean Theorem
43. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Raising Powers to Powers
Percent Increase and Decrease
Adding and Subtracting monomials
Parallel Lines and Transversals
44. The smallest multiple (other than zero) that two or more numbers have in common.
(Least) Common Multiple
Raising Powers to Powers
Multiplying Monomials
Solving a System of Equations
45. 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
Average Rate
Adding/Subtracting Signed Numbers
Characteristics of a Rectangle
46. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Using Two Points to Find the Slope
Union of Sets
Identifying the Parts and the Whole
Comparing Fractions
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)
Finding the Original Whole
Area of a Sector
Using an Equation to Find the Slope
Greatest Common Factor
48. Change in y/ change in x rise/run
Percent Formula
Average Rate
Finding the midpoint
Using Two Points to Find the Slope
49. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Domain and Range of a Function
Multiplying and Dividing Roots
Finding the Distance Between Two Points
Adding and Subtracting monomials
50. The whole # left over after division
Multiplying and Dividing Powers
(Least) Common Multiple
Counting Consecutive Integers
Remainders