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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. 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
Interior Angles of a Polygon
Function - Notation - and Evaulation
Solving a System of Equations
Solving an Inequality
2. Part = Percent x Whole
Interior Angles of a Polygon
Length of an Arc
Multiplying/Dividing Signed Numbers
Percent Formula
3. 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
Multiplying Fractions
Rate
The 5-12-13 Triangle
Setting up a Ratio
4. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Number Categories
Similar Triangles
Using an Equation to Find the Slope
Area of a Sector
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
Finding the Distance Between Two Points
Multiplying and Dividing Powers
Rate
6. 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
Triangle Inequality Theorem
Comparing Fractions
Solving a Proportion
Evaluating an Expression
7. 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
Circumference of a Circle
Counting the Possibilities
Exponential Growth
Multiplying/Dividing Signed Numbers
8. you can add/subtract when the part under the radical is the same
Adding and Subtracting monomials
Adding and Subtracting Roots
Combined Percent Increase and Decrease
Simplifying Square Roots
9. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Raising Powers to Powers
Multiplying/Dividing Signed Numbers
The 3-4-5 Triangle
Multiples of 2 and 4
10. Multiply the exponents
Raising Powers to Powers
Factor/Multiple
Characteristics of a Square
Volume of a Cylinder
11. Change in y/ change in x rise/run
Solving an Inequality
Multiplying/Dividing Signed Numbers
Multiples of 3 and 9
Using Two Points to Find the Slope
12. 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
PEMDAS
Mixed Numbers and Improper Fractions
Prime Factorization
Characteristics of a Square
13. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Using an Equation to Find the Slope
Adding/Subtracting Fractions
Parallel Lines and Transversals
Using the Average to Find the Sum
14. The whole # left over after division
Rate
Counting Consecutive Integers
Remainders
(Least) Common Multiple
15. 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
Repeating Decimal
Even/Odd
Exponential Growth
16. 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)
Repeating Decimal
Length of an Arc
Solving an Inequality
Intersection of sets
17. To find the reciprocal of a fraction switch the numerator and the denominator
Finding the midpoint
Mixed Numbers and Improper Fractions
Reciprocal
PEMDAS
18. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Volume of a Cylinder
Comparing Fractions
Finding the Distance Between Two Points
19. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Average Rate
Evaluating an Expression
Percent Increase and Decrease
Finding the midpoint
20. A square is a rectangle with four equal sides; Area of Square = side*side
Solving a Quadratic Equation
Percent Formula
Characteristics of a Square
Combined Percent Increase and Decrease
21. 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
Triangle Inequality Theorem
Characteristics of a Rectangle
Isosceles and Equilateral triangles
22. 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
Characteristics of a Parallelogram
Median and Mode
Finding the Missing Number
Direct and Inverse Variation
23. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Combined Percent Increase and Decrease
Domain and Range of a Function
Prime Factorization
Tangency
24. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Volume of a Rectangular Solid
Tangency
Average Formula -
Pythagorean Theorem
25. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Setting up a Ratio
Solving an Inequality
Remainders
Pythagorean Theorem
26. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Multiplying/Dividing Signed Numbers
Greatest Common Factor
Rate
Intersecting Lines
27. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Evaluating an Expression
Greatest Common Factor
Factor/Multiple
Using an Equation to Find the Slope
28. Combine like terms
Using an Equation to Find the Slope
Adding and Subtraction Polynomials
Solving an Inequality
Simplifying Square Roots
29. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Interior Angles of a Polygon
Reducing Fractions
Finding the midpoint
Characteristics of a Parallelogram
30. Sum=(Average) x (Number of Terms)
Characteristics of a Parallelogram
Part-to-Part Ratios and Part-to-Whole Ratios
Using the Average to Find the Sum
Solving a Proportion
31. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Surface Area of a Rectangular Solid
Area of a Triangle
Using an Equation to Find an Intercept
32. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Reducing Fractions
Finding the Missing Number
Multiplying Monomials
Even/Odd
33. 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
Greatest Common Factor
Intersecting Lines
Similar Triangles
Negative Exponent and Rational Exponent
34. 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
Counting the Possibilities
PEMDAS
Relative Primes
Combined Percent Increase and Decrease
35. 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
Median and Mode
Volume of a Cylinder
Characteristics of a Parallelogram
36. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Adding and Subtraction Polynomials
Median and Mode
Length of an Arc
Probability
37. The smallest multiple (other than zero) that two or more numbers have in common.
(Least) Common Multiple
Mixed Numbers and Improper Fractions
Factor/Multiple
Multiples of 2 and 4
38. 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
Finding the midpoint
Remainders
Using an Equation to Find an Intercept
Characteristics of a Rectangle
39. pr^2
Probability
Adding and Subtraction Polynomials
Area of a Circle
Multiplying and Dividing Roots
40. 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
Using the Average to Find the Sum
Relative Primes
Area of a Triangle
Mixed Numbers and Improper Fractions
41. 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
Similar Triangles
Area of a Triangle
Rate
Characteristics of a Parallelogram
42. To multiply fractions - multiply the numerators and multiply the denominators
Dividing Fractions
Multiplying Fractions
Adding and Subtraction Polynomials
The 5-12-13 Triangle
43. Domain: all possible values of x for a function range: all possible outputs of a function
Part-to-Part Ratios and Part-to-Whole Ratios
Domain and Range of a Function
Simplifying Square Roots
Area of a Circle
44. For all right triangles: a^2+b^2=c^2
Relative Primes
Using an Equation to Find the Slope
Pythagorean Theorem
Reducing Fractions
45. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Circumference of a Circle
Determining Absolute Value
Part-to-Part Ratios and Part-to-Whole Ratios
Comparing Fractions
46. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Percent Increase and Decrease
Using Two Points to Find the Slope
Solving an Inequality
Prime Factorization
47. 1. Re-express them with common denominators 2. Convert them to decimals
Counting the Possibilities
Comparing Fractions
Using Two Points to Find the Slope
Determining Absolute Value
48. 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
Solving a System of Equations
Percent Increase and Decrease
Solving a Proportion
The 3-4-5 Triangle
49. To divide fractions - invert the second one and multiply
Parallel Lines and Transversals
Volume of a Cylinder
Dividing Fractions
Triangle Inequality Theorem
50. 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
Union of Sets
Tangency
Average Formula -