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