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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Subjects
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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. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Multiples of 2 and 4
Reciprocal
Characteristics of a Parallelogram
Finding the midpoint
2. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Using an Equation to Find an Intercept
Adding and Subtracting monomials
Rate
Adding/Subtracting Signed Numbers
3. For all right triangles: a^2+b^2=c^2
Multiples of 2 and 4
Pythagorean Theorem
Exponential Growth
Finding the Missing Number
4. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Finding the midpoint
Dividing Fractions
Surface Area of a Rectangular Solid
Evaluating an Expression
5. 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
Average of Evenly Spaced Numbers
Median and Mode
Similar Triangles
Solving an Inequality
6. 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
Characteristics of a Rectangle
Reducing Fractions
Even/Odd
Tangency
7. The largest factor that two or more numbers have in common.
Remainders
Part-to-Part Ratios and Part-to-Whole Ratios
Repeating Decimal
Greatest Common Factor
8. 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
Intersection of sets
Part-to-Part Ratios and Part-to-Whole Ratios
Number Categories
Mixed Numbers and Improper Fractions
9. Factor out the perfect squares
Simplifying Square Roots
Finding the Distance Between Two Points
Intersection of sets
Adding and Subtracting Roots
10. you can add/subtract when the part under the radical is the same
Parallel Lines and Transversals
Adding and Subtracting Roots
Area of a Triangle
The 3-4-5 Triangle
11. (average of the x coordinates - average of the y coordinates)
Part-to-Part Ratios and Part-to-Whole Ratios
Finding the midpoint
Multiplying and Dividing Powers
Comparing Fractions
12. 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.
Number Categories
Factor/Multiple
Relative Primes
Volume of a Cylinder
13. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Parallel Lines and Transversals
Multiplying and Dividing Roots
Volume of a Cylinder
Intersecting Lines
14. pr^2
Area of a Circle
Factor/Multiple
Interior and Exterior Angles of a Triangle
Multiplying Monomials
15. 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
Interior Angles of a Polygon
Using the Average to Find the Sum
16. 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
Volume of a Rectangular Solid
Part-to-Part Ratios and Part-to-Whole Ratios
Average of Evenly Spaced Numbers
17. 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
Solving a System of Equations
Combined Percent Increase and Decrease
Repeating Decimal
Solving a Quadratic Equation
18. 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
Adding and Subtracting monomials
Rate
Multiplying/Dividing Signed Numbers
Multiples of 3 and 9
19. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Union of Sets
Volume of a Cylinder
Adding/Subtracting Signed Numbers
Adding/Subtracting Fractions
20. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Interior and Exterior Angles of a Triangle
Solving an Inequality
Evaluating an Expression
21. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Even/Odd
Intersection of sets
Average Formula -
Using the Average to Find the Sum
22. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Number Categories
Rate
Adding and Subtraction Polynomials
Reducing Fractions
23. Surface Area = 2lw + 2wh + 2lh
Multiplying and Dividing Powers
Tangency
Surface Area of a Rectangular Solid
Determining Absolute Value
24. 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
Determining Absolute Value
Using an Equation to Find an Intercept
Direct and Inverse Variation
Interior and Exterior Angles of a Triangle
25. To multiply fractions - multiply the numerators and multiply the denominators
Area of a Sector
Triangle Inequality Theorem
Multiplying Fractions
Negative Exponent and Rational Exponent
26. A square is a rectangle with four equal sides; Area of Square = side*side
Finding the Missing Number
Multiples of 2 and 4
Remainders
Characteristics of a Square
27. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Union of Sets
Mixed Numbers and Improper Fractions
Multiples of 2 and 4
Evaluating an Expression
28. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Characteristics of a Parallelogram
Using the Average to Find the Sum
Solving a Quadratic Equation
Prime Factorization
29. 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
Multiplying/Dividing Signed Numbers
Volume of a Rectangular Solid
Area of a Triangle
Probability
30. 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
Area of a Triangle
Counting Consecutive Integers
Negative Exponent and Rational Exponent
Using Two Points to Find the Slope
31. 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
PEMDAS
Function - Notation - and Evaulation
Domain and Range of a Function
Identifying the Parts and the Whole
32. To solve a proportion - cross multiply
Solving a Proportion
Adding/Subtracting Signed Numbers
Adding and Subtraction Polynomials
Surface Area of a Rectangular Solid
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
Area of a Circle
PEMDAS
Multiplying and Dividing Roots
Reciprocal
34. 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
Even/Odd
Average Rate
Using an Equation to Find an Intercept
Percent Increase and Decrease
35. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Negative Exponent and Rational Exponent
Intersection of sets
Solving a Quadratic Equation
Direct and Inverse Variation
36. 1. Re-express them with common denominators 2. Convert them to decimals
Solving a Proportion
Comparing Fractions
Dividing Fractions
Area of a Circle
37. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Determining Absolute Value
Adding and Subtracting monomials
Counting the Possibilities
The 3-4-5 Triangle
38. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Raising Powers to Powers
Reciprocal
Using the Average to Find the Sum
PEMDAS
39. 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)
Characteristics of a Square
Adding/Subtracting Signed Numbers
Using the Average to Find the Sum
Area of a Sector
40. 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
Finding the Distance Between Two Points
Finding the Original Whole
Characteristics of a Square
Characteristics of a Parallelogram
41. Part = Percent x Whole
Median and Mode
Percent Formula
Even/Odd
Solving a System of Equations
42. Domain: all possible values of x for a function range: all possible outputs of a function
Multiplying Monomials
Domain and Range of a Function
Comparing Fractions
Circumference of a Circle
43. Multiply the exponents
Raising Powers to Powers
Setting up a Ratio
Identifying the Parts and the Whole
Adding and Subtracting Roots
44. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Average of Evenly Spaced Numbers
Number Categories
Evaluating an Expression
Characteristics of a Parallelogram
45. 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
Multiplying Monomials
Pythagorean Theorem
Counting the Possibilities
Surface Area of a Rectangular Solid
46. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
Rate
PEMDAS
Using Two Points to Find the Slope
47. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Tangency
Volume of a Rectangular Solid
Comparing Fractions
Dividing Fractions
48. 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
Length of an Arc
Parallel Lines and Transversals
Finding the Original Whole
Using an Equation to Find the Slope
49. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Length of an Arc
Negative Exponent and Rational Exponent
Similar Triangles
Comparing Fractions
50. To divide fractions - invert the second one and multiply
Part-to-Part Ratios and Part-to-Whole Ratios
Average of Evenly Spaced Numbers
Dividing Fractions
Using Two Points to Find the Slope