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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. 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
Negative Exponent and Rational Exponent
Direct and Inverse Variation
Similar Triangles
Pythagorean Theorem
2. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Percent Formula
Direct and Inverse Variation
Circumference of a Circle
Prime Factorization
3. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Adding/Subtracting Fractions
Circumference of a Circle
Evaluating an Expression
Probability
4. The whole # left over after division
Greatest Common Factor
Using the Average to Find the Sum
PEMDAS
Remainders
5. 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
Triangle Inequality Theorem
Counting Consecutive Integers
The 3-4-5 Triangle
Adding/Subtracting Signed Numbers
6. 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
Union of Sets
Adding and Subtracting Roots
Determining Absolute Value
7. 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
Intersecting Lines
Prime Factorization
Median and Mode
Part-to-Part Ratios and Part-to-Whole Ratios
8. 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
Isosceles and Equilateral triangles
Surface Area of a Rectangular Solid
The 3-4-5 Triangle
Length of an Arc
9. Factor out the perfect squares
(Least) Common Multiple
Rate
Simplifying Square Roots
Interior and Exterior Angles of a Triangle
10. 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 Fractions
Finding the midpoint
Probability
Number Categories
11. Multiply the exponents
Characteristics of a Square
Mixed Numbers and Improper Fractions
Raising Powers to Powers
Tangency
12. 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
Simplifying Square Roots
Intersection of sets
Characteristics of a Square
Isosceles and Equilateral triangles
13. Add the exponents and keep the same base
Factor/Multiple
Greatest Common Factor
Multiplying and Dividing Powers
Probability
14. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
PEMDAS
Volume of a Rectangular Solid
Simplifying Square Roots
Repeating Decimal
15. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Counting the Possibilities
Raising Powers to Powers
Adding and Subtracting Roots
PEMDAS
16. you can add/subtract when the part under the radical is the same
Multiples of 3 and 9
Multiples of 2 and 4
Adding and Subtracting Roots
Even/Odd
17. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Finding the Distance Between Two Points
Adding and Subtracting monomials
Setting up a Ratio
Simplifying Square Roots
18. Probability= Favorable Outcomes/Total Possible Outcomes
Direct and Inverse Variation
Even/Odd
Probability
Area of a Triangle
19. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Average Rate
PEMDAS
Interior Angles of a Polygon
Multiplying Monomials
20. 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
Union of Sets
Simplifying Square Roots
Mixed Numbers and Improper Fractions
Finding the Missing Number
21. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Finding the Missing Number
Mixed Numbers and Improper Fractions
Percent Increase and Decrease
Intersecting Lines
22. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Multiplying Fractions
Repeating Decimal
Using an Equation to Find the Slope
Reciprocal
23. 2pr
Circumference of a Circle
Evaluating an Expression
Characteristics of a Square
Counting Consecutive Integers
24. 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
Using the Average to Find the Sum
Adding and Subtraction Polynomials
Setting up a Ratio
Solving an Inequality
25. 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
Simplifying Square Roots
Characteristics of a Rectangle
Surface Area of a Rectangular Solid
Triangle Inequality Theorem
26. 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
Median and Mode
Negative Exponent and Rational Exponent
Repeating Decimal
Multiplying/Dividing Signed Numbers
27. 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
Percent Increase and Decrease
PEMDAS
Reciprocal
Characteristics of a Parallelogram
28. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
Parallel Lines and Transversals
Circumference of a Circle
Surface Area of a Rectangular Solid
29. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Adding/Subtracting Fractions
Multiples of 2 and 4
Using an Equation to Find an Intercept
Circumference of a Circle
30. 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
Length of an Arc
Adding and Subtracting Roots
Rate
Mixed Numbers and Improper Fractions
31. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Using the Average to Find the Sum
Union of Sets
Triangle Inequality Theorem
Average of Evenly Spaced Numbers
32. 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
Factor/Multiple
Interior and Exterior Angles of a Triangle
Even/Odd
33. Domain: all possible values of x for a function range: all possible outputs of a function
Interior and Exterior Angles of a Triangle
Isosceles and Equilateral triangles
Domain and Range of a Function
Remainders
34. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Finding the Original Whole
Average Formula -
Median and Mode
Intersection of sets
35. 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
Using an Equation to Find an Intercept
Prime Factorization
Negative Exponent and Rational Exponent
Circumference of a Circle
36. The smallest multiple (other than zero) that two or more numbers have in common.
Negative Exponent and Rational Exponent
(Least) Common Multiple
Evaluating an Expression
Circumference of a Circle
37. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Adding and Subtraction Polynomials
Multiplying and Dividing Roots
Mixed Numbers and Improper Fractions
Probability
38. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Part-to-Part Ratios and Part-to-Whole Ratios
Characteristics of a Rectangle
Remainders
Union of Sets
39. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Number Categories
Adding and Subtracting monomials
Multiples of 3 and 9
Adding/Subtracting Fractions
40. To multiply fractions - multiply the numerators and multiply the denominators
Area of a Circle
Multiplying Fractions
Multiplying and Dividing Roots
Determining Absolute Value
41. 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
Using an Equation to Find the Slope
Intersection of sets
Counting the Possibilities
42. Subtract the smallest from the largest and add 1
Remainders
Counting Consecutive Integers
Number Categories
Multiples of 2 and 4
43. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Tangency
Adding and Subtraction Polynomials
(Least) Common Multiple
Using Two Points to Find the Slope
44. Part = Percent x Whole
Volume of a Rectangular Solid
Percent Formula
The 5-12-13 Triangle
Interior Angles of a Polygon
45. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Solving a Proportion
Solving a Quadratic Equation
Area of a Sector
Adding and Subtraction Polynomials
46. (average of the x coordinates - average of the y coordinates)
Intersection of sets
Finding the midpoint
Remainders
Characteristics of a Square
47. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Setting up a Ratio
Remainders
Finding the Distance Between Two Points
Part-to-Part Ratios and Part-to-Whole Ratios
48. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Adding and Subtracting Roots
Identifying the Parts and the Whole
Number Categories
Reducing Fractions
49. 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
Interior Angles of a Polygon
Greatest Common Factor
Repeating Decimal
50. 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
Counting Consecutive Integers
Dividing Fractions
Negative Exponent and Rational Exponent
Percent Increase and Decrease