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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Subjects
:
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. 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)
Remainders
Finding the Original Whole
Repeating Decimal
Length of an Arc
2. 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
Exponential Growth
Multiples of 2 and 4
Evaluating an Expression
Length of an Arc
3. To find the reciprocal of a fraction switch the numerator and the denominator
Rate
Reciprocal
Solving an Inequality
Remainders
4. 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
Repeating Decimal
Area of a Triangle
Function - Notation - and Evaulation
Characteristics of a Parallelogram
5. 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
Finding the Missing Number
Adding/Subtracting Signed Numbers
Prime Factorization
Average of Evenly Spaced Numbers
6. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Multiplying Monomials
Finding the Original Whole
Intersection of sets
Intersecting Lines
7. 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
Multiplying and Dividing Roots
Mixed Numbers and Improper Fractions
Surface Area of a Rectangular Solid
Solving a System of Equations
8. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Adding and Subtracting Roots
Reducing Fractions
Solving a Quadratic Equation
Pythagorean Theorem
9. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Counting the Possibilities
Remainders
Using Two Points to Find the Slope
Intersecting Lines
10. Change in y/ change in x rise/run
Raising Powers to Powers
Adding/Subtracting Signed Numbers
Simplifying Square Roots
Using Two Points to Find the Slope
11. To divide fractions - invert the second one and multiply
Triangle Inequality Theorem
Intersecting Lines
Using an Equation to Find the Slope
Dividing Fractions
12. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Intersection of sets
Number Categories
Percent Formula
Using an Equation to Find an Intercept
13. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Intersecting Lines
Adding/Subtracting Fractions
Finding the Original Whole
Counting the Possibilities
14. 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
Characteristics of a Square
Using Two Points to Find the Slope
Adding/Subtracting Fractions
Identifying the Parts and the Whole
15. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
Comparing Fractions
Reciprocal
Mixed Numbers and Improper Fractions
16. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Counting Consecutive Integers
PEMDAS
Percent Formula
Finding the Original Whole
17. 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
Solving a Proportion
Solving an Inequality
Finding the midpoint
Multiplying/Dividing Signed Numbers
18. 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
Area of a Sector
Circumference of a Circle
Solving an Inequality
Part-to-Part Ratios and Part-to-Whole Ratios
19. Multiply the exponents
The 3-4-5 Triangle
Raising Powers to Powers
Average Rate
Parallel Lines and Transversals
20. The smallest multiple (other than zero) that two or more numbers have in common.
Adding and Subtracting Roots
(Least) Common Multiple
Domain and Range of a Function
Using the Average to Find the Sum
21. The largest factor that two or more numbers have in common.
Greatest Common Factor
Reciprocal
Finding the Missing Number
Simplifying Square Roots
22. 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 Missing Number
Remainders
Area of a Sector
Adding and Subtraction Polynomials
23. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Counting the Possibilities
Part-to-Part Ratios and Part-to-Whole Ratios
Percent Formula
Multiples of 3 and 9
24. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Solving a System of Equations
Using Two Points to Find the Slope
Triangle Inequality Theorem
Volume of a Rectangular Solid
25. 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 the Average to Find the Sum
Reducing Fractions
Area of a Sector
Using an Equation to Find an Intercept
26. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Evaluating an Expression
Factor/Multiple
Solving an Inequality
Average Formula -
27. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Parallel Lines and Transversals
Adding/Subtracting Fractions
Using the Average to Find the Sum
Mixed Numbers and Improper Fractions
28. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Probability
Setting up a Ratio
Using an Equation to Find the Slope
Multiplying and Dividing Roots
29. 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.
Combined Percent Increase and Decrease
Number Categories
Interior Angles of a Polygon
Prime Factorization
30. The whole # left over after division
Interior and Exterior Angles of a Triangle
Area of a Sector
Characteristics of a Parallelogram
Remainders
31. 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
Identifying the Parts and the Whole
Area of a Triangle
Simplifying Square Roots
Using an Equation to Find an Intercept
32. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
PEMDAS
Union of Sets
Using the Average to Find the Sum
Prime Factorization
33. To solve a proportion - cross multiply
Intersection of sets
Union of Sets
Exponential Growth
Solving a Proportion
34. 2pr
Mixed Numbers and Improper Fractions
Circumference of a Circle
Combined Percent Increase and Decrease
Multiples of 3 and 9
35. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Area of a Circle
PEMDAS
Average Formula -
Factor/Multiple
36. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Multiplying and Dividing Powers
Probability
Determining Absolute Value
Area of a Sector
37. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Combined Percent Increase and Decrease
Adding and Subtracting Roots
Surface Area of a Rectangular Solid
Multiples of 2 and 4
38. Part = Percent x Whole
Reciprocal
Adding/Subtracting Fractions
Percent Formula
Using an Equation to Find an Intercept
39. Combine equations in such a way that one of the variables cancel out
Surface Area of a Rectangular Solid
Identifying the Parts and the Whole
Average Formula -
Solving a System of Equations
40. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Negative Exponent and Rational Exponent
Average of Evenly Spaced Numbers
Characteristics of a Rectangle
Percent Increase and Decrease
41. To multiply fractions - multiply the numerators and multiply the denominators
Multiplying Fractions
Solving a System of Equations
Adding and Subtracting monomials
Isosceles and Equilateral triangles
42. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Solving a Quadratic Equation
Median and Mode
Domain and Range of a Function
Probability
43. Combine like terms
Factor/Multiple
Comparing Fractions
Adding and Subtraction Polynomials
Negative Exponent and Rational Exponent
44. 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
Evaluating an Expression
Multiplying/Dividing Signed Numbers
PEMDAS
The 3-4-5 Triangle
45. 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
PEMDAS
Probability
Adding/Subtracting Signed Numbers
46. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Multiplying and Dividing Powers
Union of Sets
Similar Triangles
Comparing Fractions
47. 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
Comparing Fractions
Interior and Exterior Angles of a Triangle
Average Formula -
48. Factor out the perfect squares
Simplifying Square Roots
Dividing Fractions
The 3-4-5 Triangle
Volume of a Cylinder
49. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
The 3-4-5 Triangle
Using the Average to Find the Sum
Surface Area of a Rectangular Solid
50. 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
Evaluating an Expression
Adding/Subtracting Fractions
Finding the Distance Between Two Points