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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. Domain: all possible values of x for a function range: all possible outputs of a function
Using an Equation to Find the Slope
Domain and Range of a Function
Area of a Circle
Interior Angles of a Polygon
2. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Setting up a Ratio
Mixed Numbers and Improper Fractions
3. Sum=(Average) x (Number of Terms)
Simplifying Square Roots
Using the Average to Find the Sum
Finding the Distance Between Two Points
Mixed Numbers and Improper Fractions
4. Combine like terms
Greatest Common Factor
Adding and Subtraction Polynomials
Adding/Subtracting Signed Numbers
Using the Average to Find the Sum
5. The whole # left over after division
Counting the Possibilities
Characteristics of a Parallelogram
Adding and Subtracting monomials
Remainders
6. 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
Repeating Decimal
Parallel Lines and Transversals
Reciprocal
Adding and Subtracting Roots
7. 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 Square
Multiplying/Dividing Signed Numbers
Adding and Subtracting Roots
Even/Odd
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
Reducing Fractions
Mixed Numbers and Improper Fractions
Percent Formula
Surface Area of a Rectangular Solid
9. 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
Dividing Fractions
Surface Area of a Rectangular Solid
Intersection of sets
10. 1. Re-express them with common denominators 2. Convert them to decimals
Counting Consecutive Integers
Part-to-Part Ratios and Part-to-Whole Ratios
Even/Odd
Comparing Fractions
11. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Finding the Distance Between Two Points
Using the Average to Find the Sum
Solving a Quadratic Equation
Surface Area of a Rectangular Solid
12. The smallest multiple (other than zero) that two or more numbers have in common.
Function - Notation - and Evaulation
Evaluating an Expression
(Least) Common Multiple
The 5-12-13 Triangle
13. Probability= Favorable Outcomes/Total Possible Outcomes
Using an Equation to Find an Intercept
Probability
Using the Average to Find the Sum
Number Categories
14. 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
Negative Exponent and Rational Exponent
Counting the Possibilities
PEMDAS
Adding and Subtracting monomials
15. 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)
Length of an Arc
Function - Notation - and Evaulation
Solving a Quadratic Equation
Dividing Fractions
16. Volume of a Cylinder = pr^2h
Adding and Subtracting Roots
Surface Area of a Rectangular Solid
Volume of a Cylinder
Reciprocal
17. 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
Multiplying and Dividing Powers
Function - Notation - and Evaulation
Similar Triangles
Triangle Inequality Theorem
18. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Adding and Subtracting monomials
Finding the Original Whole
Length of an Arc
Triangle Inequality Theorem
19. 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
Dividing Fractions
Similar Triangles
Comparing Fractions
20. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Tangency
Median and Mode
Exponential Growth
Finding the Original Whole
21. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Area of a Circle
Median and Mode
Using an Equation to Find the Slope
Solving a System of Equations
22. A square is a rectangle with four equal sides; Area of Square = side*side
Setting up a Ratio
Characteristics of a Square
Part-to-Part Ratios and Part-to-Whole Ratios
Comparing Fractions
23. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Rate
PEMDAS
Area of a Circle
Interior Angles of a Polygon
24. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Remainders
Multiplying and Dividing Roots
Finding the midpoint
Intersection of sets
25. Add the exponents and keep the same base
The 3-4-5 Triangle
Interior Angles of a Polygon
Multiplying and Dividing Powers
Determining Absolute Value
26. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Length of an Arc
Average of Evenly Spaced Numbers
Union of Sets
27. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Average Formula -
Multiples of 2 and 4
Dividing Fractions
Isosceles and Equilateral triangles
28. 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
Function - Notation - and Evaulation
Solving a Proportion
The 5-12-13 Triangle
Direct and Inverse Variation
29. 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 Monomials
Multiplying and Dividing Roots
Negative Exponent and Rational Exponent
Using Two Points to Find the Slope
30. Subtract the smallest from the largest and add 1
Circumference of a Circle
Characteristics of a Parallelogram
Repeating Decimal
Counting Consecutive Integers
31. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Function - Notation - and Evaulation
Determining Absolute Value
Finding the Distance Between Two Points
Percent Formula
32. 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
Raising Powers to Powers
Combined Percent Increase and Decrease
Characteristics of a Parallelogram
Intersecting Lines
33. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Solving a System of Equations
Volume of a Rectangular Solid
Percent Formula
Finding the Missing Number
34. 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
Repeating Decimal
The 5-12-13 Triangle
Percent Increase and Decrease
Even/Odd
35. 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
Multiples of 3 and 9
Exponential Growth
Adding/Subtracting Fractions
The 3-4-5 Triangle
36. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Raising Powers to Powers
Rate
Union of Sets
Adding/Subtracting Fractions
37. 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
Mixed Numbers and Improper Fractions
The 3-4-5 Triangle
Characteristics of a Square
Finding the Missing Number
38. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Identifying the Parts and the Whole
Finding the Distance Between Two Points
Union of Sets
Triangle Inequality Theorem
39. 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/Dividing Signed Numbers
Reciprocal
Adding and Subtracting Roots
Surface Area of a Rectangular Solid
40. 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)
Tangency
Solving a Proportion
Direct and Inverse Variation
Area of a Sector
41. 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
Determining Absolute Value
Characteristics of a Rectangle
Even/Odd
42. 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
Intersection of sets
Finding the midpoint
Multiplying and Dividing Powers
Solving an Inequality
43. To find the reciprocal of a fraction switch the numerator and the denominator
Mixed Numbers and Improper Fractions
Multiplying Fractions
Reciprocal
Adding and Subtracting monomials
44. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Isosceles and Equilateral triangles
Setting up a Ratio
Negative Exponent and Rational Exponent
Evaluating an Expression
45. 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
Mixed Numbers and Improper Fractions
Using an Equation to Find the Slope
Finding the Distance Between Two Points
Using an Equation to Find an Intercept
46. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Using the Average to Find the Sum
PEMDAS
Using an Equation to Find the Slope
Negative Exponent and Rational Exponent
47. 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
Adding/Subtracting Signed Numbers
Intersection of sets
Using the Average to Find the Sum
Finding the Original Whole
48. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Factor/Multiple
Negative Exponent and Rational Exponent
Similar Triangles
Evaluating an Expression
49. Combine equations in such a way that one of the variables cancel out
Tangency
Solving a System of Equations
Finding the midpoint
Adding/Subtracting Fractions
50. 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
Multiples of 3 and 9
Similar Triangles
Counting the Possibilities