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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. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Evaluating an Expression
Finding the Missing Number
Isosceles and Equilateral triangles
Comparing Fractions
2. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Function - Notation - and Evaulation
Setting up a Ratio
Similar Triangles
Average of Evenly Spaced Numbers
3. The whole # left over after division
Percent Increase and Decrease
Remainders
Solving a System of Equations
Function - Notation - and Evaulation
4. 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
Using Two Points to Find the Slope
Negative Exponent and Rational Exponent
Isosceles and Equilateral triangles
Circumference of a Circle
5. 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
Percent Formula
Identifying the Parts and the Whole
PEMDAS
6. To divide fractions - invert the second one and multiply
(Least) Common Multiple
Dividing Fractions
Rate
Length of an Arc
7. Sum=(Average) x (Number of Terms)
Average Formula -
Function - Notation - and Evaulation
Using the Average to Find the Sum
Relative Primes
8. Integers that have no common factor other than 1 - to determine whether two integers are relative primes break them both down to their prime factorizations
Direct and Inverse Variation
Determining Absolute Value
Relative Primes
Interior Angles of a Polygon
9. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Volume of a Rectangular Solid
Counting Consecutive Integers
Percent Formula
Triangle Inequality Theorem
10. The largest factor that two or more numbers have in common.
Interior Angles of a Polygon
Characteristics of a Rectangle
Finding the Distance Between Two Points
Greatest Common Factor
11. 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
Solving a Quadratic Equation
Solving an Inequality
Area of a Sector
Interior Angles of a Polygon
12. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Intersection of sets
Characteristics of a Parallelogram
Identifying the Parts and the Whole
PEMDAS
13. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Adding/Subtracting Signed Numbers
Remainders
Evaluating an Expression
Union of Sets
14. Notation: f(x) read: 'f of x' evaluation: if you want to evaluate the function for f(4) - replace x with 4 everywhere in the equation
Relative Primes
Function - Notation - and Evaulation
Characteristics of a Square
Finding the Missing Number
15. 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
Multiplying and Dividing Powers
Using Two Points to Find the Slope
Probability
Exponential Growth
16. 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.
Setting up a Ratio
Domain and Range of a Function
Number Categories
Multiples of 3 and 9
17. To solve a proportion - cross multiply
Pythagorean Theorem
Reciprocal
Probability
Solving a Proportion
18. Surface Area = 2lw + 2wh + 2lh
Characteristics of a Square
Isosceles and Equilateral triangles
Finding the Missing Number
Surface Area of a Rectangular Solid
19. 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
Using an Equation to Find an Intercept
Union of Sets
Interior and Exterior Angles of a Triangle
Percent Formula
20. 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
Tangency
Median and Mode
Combined Percent Increase and Decrease
Counting the Possibilities
21. (average of the x coordinates - average of the y coordinates)
Finding the midpoint
Identifying the Parts and the Whole
Number Categories
Prime Factorization
22. 2pr
Factor/Multiple
Finding the midpoint
Characteristics of a Square
Circumference of a Circle
23. 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
Function - Notation - and Evaulation
Median and Mode
The 5-12-13 Triangle
24. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
Area of a Circle
Characteristics of a Square
Negative Exponent and Rational Exponent
25. 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
Negative Exponent and Rational Exponent
Triangle Inequality Theorem
Multiples of 2 and 4
Multiplying/Dividing Signed Numbers
26. 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
Combined Percent Increase and Decrease
Percent Formula
Finding the Missing Number
Negative Exponent and Rational Exponent
27. Change in y/ change in x rise/run
Reducing Fractions
Using Two Points to Find the Slope
Percent Increase and Decrease
Multiplying and Dividing Roots
28. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Reducing Fractions
Using an Equation to Find an Intercept
Adding and Subtracting monomials
29. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Even/Odd
Tangency
Average Formula -
Multiplying and Dividing Powers
30. Combine like terms
Characteristics of a Parallelogram
Adding and Subtraction Polynomials
Finding the Missing Number
Greatest Common Factor
31. pr^2
Negative Exponent and Rational Exponent
Volume of a Rectangular Solid
Simplifying Square Roots
Area of a Circle
32. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Reciprocal
Pythagorean Theorem
Reducing Fractions
Using an Equation to Find the Slope
33. 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 Quadratic Equation
Union of Sets
Area of a Circle
Multiples of 2 and 4
34. 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
Exponential Growth
Finding the Original Whole
Reciprocal
Similar Triangles
35. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Intersecting Lines
Interior Angles of a Polygon
Similar Triangles
Solving a Proportion
36. 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
Multiples of 2 and 4
Intersecting Lines
Volume of a Rectangular Solid
Direct and Inverse Variation
37. 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
Counting the Possibilities
Characteristics of a Square
Using an Equation to Find an Intercept
Triangle Inequality Theorem
38. 1. Re-express them with common denominators 2. Convert them to decimals
Multiples of 3 and 9
Average Formula -
Multiplying Monomials
Comparing Fractions
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)
Counting the Possibilities
Interior and Exterior Angles of a Triangle
Even/Odd
Area of a Sector
40. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Dividing Fractions
Characteristics of a Rectangle
Median and Mode
Union of Sets
41. 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
Area of a Sector
Triangle Inequality Theorem
Finding the Distance Between Two Points
Setting up a Ratio
42. 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
Area of a Triangle
Using an Equation to Find the Slope
(Least) Common Multiple
Intersecting Lines
43. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Setting up a Ratio
Prime Factorization
Percent Formula
Circumference of a Circle
44. 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
Parallel Lines and Transversals
Using Two Points to Find the Slope
Adding/Subtracting Fractions
45. To find the reciprocal of a fraction switch the numerator and the denominator
(Least) Common Multiple
Factor/Multiple
Function - Notation - and Evaulation
Reciprocal
46. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Probability
Characteristics of a Rectangle
Multiples of 2 and 4
Multiplying and Dividing Roots
47. 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
Finding the midpoint
Adding and Subtracting monomials
The 3-4-5 Triangle
(Least) Common Multiple
48. 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
Prime Factorization
Finding the Original Whole
Length of an Arc
49. Factor out the perfect squares
Multiples of 3 and 9
Simplifying Square Roots
Intersecting Lines
Similar Triangles
50. Probability= Favorable Outcomes/Total Possible Outcomes
Multiples of 3 and 9
Function - Notation - and Evaulation
Probability
PEMDAS