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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. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Area of a Circle
Adding/Subtracting Fractions
Multiples of 3 and 9
Solving a System of Equations
2. The largest factor that two or more numbers have in common.
Domain and Range of a Function
Greatest Common Factor
Average of Evenly Spaced Numbers
Volume of a Rectangular Solid
3. Multiply the exponents
Repeating Decimal
Raising Powers to Powers
Number Categories
Parallel Lines and Transversals
4. 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
Remainders
Union of Sets
Function - Notation - and Evaulation
Greatest Common Factor
5. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Using an Equation to Find the Slope
Rate
Average of Evenly Spaced Numbers
Solving a Quadratic Equation
6. 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 and Dividing Powers
Repeating Decimal
The 5-12-13 Triangle
Domain and Range of a Function
7. A square is a rectangle with four equal sides; Area of Square = side*side
Characteristics of a Square
Volume of a Cylinder
Tangency
Similar Triangles
8. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Finding the Missing Number
Solving a System of Equations
Isosceles and Equilateral triangles
Adding and Subtracting monomials
9. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Finding the Distance Between Two Points
Determining Absolute Value
PEMDAS
Similar Triangles
10. 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
The 3-4-5 Triangle
Counting Consecutive Integers
Surface Area of a Rectangular Solid
Length of an Arc
11. Combine like terms
Triangle Inequality Theorem
Reciprocal
Adding and Subtraction Polynomials
Circumference of a Circle
12. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Counting Consecutive Integers
Union of Sets
Surface Area of a Rectangular Solid
Relative Primes
13. To find the reciprocal of a fraction switch the numerator and the denominator
Evaluating an Expression
Direct and Inverse Variation
Reciprocal
Greatest Common Factor
14. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Multiples of 3 and 9
Volume of a Rectangular Solid
Area of a Circle
Area of a Sector
15. Surface Area = 2lw + 2wh + 2lh
Interior Angles of a Polygon
Exponential Growth
Multiplying and Dividing Roots
Surface Area of a Rectangular Solid
16. you can add/subtract when the part under the radical is the same
Adding/Subtracting Fractions
Reducing Fractions
Adding and Subtracting Roots
Area of a Triangle
17. 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
Counting the Possibilities
Characteristics of a Rectangle
Setting up a Ratio
Finding the Missing Number
18. 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
Domain and Range of a Function
Exponential Growth
Multiplying Monomials
19. Factor out the perfect squares
Average of Evenly Spaced Numbers
Area of a Circle
Simplifying Square Roots
Multiples of 2 and 4
20. Volume of a Cylinder = pr^2h
Circumference of a Circle
Solving an Inequality
Volume of a Cylinder
Relative Primes
21. 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
Exponential Growth
Reciprocal
Repeating Decimal
22. pr^2
Using an Equation to Find the Slope
Area of a Circle
Even/Odd
Relative Primes
23. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Solving a System of Equations
Triangle Inequality Theorem
Finding the midpoint
24. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Counting Consecutive Integers
Finding the Missing Number
Multiplying and Dividing Roots
Using the Average to Find the Sum
25. 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 System of Equations
Exponential Growth
Interior and Exterior Angles of a Triangle
Solving a Quadratic Equation
26. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Multiplying Monomials
Intersecting Lines
Reciprocal
Multiples of 3 and 9
27. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Factor/Multiple
Number Categories
Dividing Fractions
Reciprocal
28. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Finding the Distance Between Two Points
Parallel Lines and Transversals
Exponential Growth
Multiplying and Dividing Powers
29. 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
The 5-12-13 Triangle
Adding and Subtracting Roots
Circumference of a Circle
Isosceles and Equilateral triangles
30. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Adding/Subtracting Fractions
Parallel Lines and Transversals
Average Formula -
Intersection of sets
31. 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
Rate
The 3-4-5 Triangle
Even/Odd
Area of a Triangle
32. Probability= Favorable Outcomes/Total Possible Outcomes
Finding the Missing Number
Probability
Finding the Original Whole
Identifying the Parts and the Whole
33. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Dividing Fractions
Interior and Exterior Angles of a Triangle
Intersecting Lines
Reciprocal
34. 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
Comparing Fractions
Solving an Inequality
Percent Increase and Decrease
Rate
35. 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
Similar Triangles
Domain and Range of a Function
Surface Area of a Rectangular Solid
Area of a Triangle
36. Change in y/ change in x rise/run
Using Two Points to Find the Slope
Mixed Numbers and Improper Fractions
Median and Mode
Adding and Subtracting monomials
37. 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
Greatest Common Factor
Adding and Subtraction Polynomials
Rate
38. 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
Intersecting Lines
Volume of a Rectangular Solid
Counting the Possibilities
Identifying the Parts and the Whole
39. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Length of an Arc
Adding/Subtracting Fractions
Percent Formula
Mixed Numbers and Improper Fractions
40. 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
Average of Evenly Spaced Numbers
Characteristics of a Rectangle
Adding and Subtracting Roots
Finding the Original Whole
41. The whole # left over after division
Intersecting Lines
Remainders
Multiplying Fractions
Finding the Distance Between Two Points
42. 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
Counting the Possibilities
Interior and Exterior Angles of a Triangle
Function - Notation - and Evaulation
Multiples of 3 and 9
43. 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
Multiplying Fractions
Relative Primes
Pythagorean Theorem
Exponential Growth
44. 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
Characteristics of a Rectangle
Triangle Inequality Theorem
Multiplying/Dividing Signed Numbers
45. To divide fractions - invert the second one and multiply
PEMDAS
Dividing Fractions
Adding/Subtracting Signed Numbers
Multiplying/Dividing Signed Numbers
46. 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
Average Formula -
Repeating Decimal
Similar Triangles
Finding the midpoint
47. 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
Tangency
Exponential Growth
Counting the Possibilities
Relative Primes
48. Subtract the smallest from the largest and add 1
Multiples of 3 and 9
Number Categories
Counting Consecutive Integers
Combined Percent Increase and Decrease
49. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Factor/Multiple
Remainders
Percent Increase and Decrease
Tangency
50. 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
Multiplying Monomials
Triangle Inequality Theorem
Characteristics of a Rectangle
Characteristics of a Parallelogram