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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 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
Repeating Decimal
Using an Equation to Find an Intercept
Adding/Subtracting Signed Numbers
Using an Equation to Find the Slope
2. 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
Finding the Original Whole
Dividing Fractions
Solving a Quadratic Equation
Characteristics of a Square
3. A square is a rectangle with four equal sides; Area of Square = side*side
Isosceles and Equilateral triangles
Characteristics of a Square
Solving a Proportion
Interior and Exterior Angles of a Triangle
4. 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
Factor/Multiple
Triangle Inequality Theorem
Median and Mode
Finding the midpoint
5. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Reducing Fractions
Area of a Triangle
Using an Equation to Find an Intercept
Mixed Numbers and Improper Fractions
6. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Isosceles and Equilateral triangles
Multiples of 3 and 9
Dividing Fractions
Prime Factorization
7. 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
Raising Powers to Powers
Domain and Range of a Function
Multiples of 3 and 9
Using an Equation to Find an Intercept
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)
Interior Angles of a Polygon
Direct and Inverse Variation
Area of a Sector
Part-to-Part Ratios and Part-to-Whole Ratios
9. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Exponential Growth
Multiples of 3 and 9
Isosceles and Equilateral triangles
Adding/Subtracting Fractions
10. To find the reciprocal of a fraction switch the numerator and the denominator
Characteristics of a Rectangle
Surface Area of a Rectangular Solid
Triangle Inequality Theorem
Reciprocal
11. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
PEMDAS
Characteristics of a Rectangle
Adding and Subtracting monomials
Adding/Subtracting Signed Numbers
12. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Repeating Decimal
Relative Primes
Median and Mode
Finding the Original Whole
13. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Similar Triangles
Area of a Triangle
Evaluating an Expression
Setting up a Ratio
14. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Using an Equation to Find the Slope
Reducing Fractions
Union of Sets
Tangency
15. 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
The 5-12-13 Triangle
Relative Primes
Multiplying/Dividing Signed Numbers
Solving a System of Equations
16. For all right triangles: a^2+b^2=c^2
Function - Notation - and Evaulation
Solving a System of Equations
Pythagorean Theorem
The 5-12-13 Triangle
17. Part = Percent x Whole
Dividing Fractions
Combined Percent Increase and Decrease
Simplifying Square Roots
Percent Formula
18. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Relative Primes
Multiples of 2 and 4
Characteristics of a Parallelogram
Greatest Common Factor
19. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Interior Angles of a Polygon
Adding and Subtraction Polynomials
Setting up a Ratio
Characteristics of a Rectangle
20. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Solving a System of Equations
Volume of a Rectangular Solid
Using Two Points to Find the Slope
Isosceles and Equilateral triangles
21. To divide fractions - invert the second one and multiply
Length of an Arc
Adding and Subtracting monomials
Negative Exponent and Rational Exponent
Dividing Fractions
22. To multiply fractions - multiply the numerators and multiply the denominators
Multiplying Fractions
Union of Sets
Repeating Decimal
Characteristics of a Square
23. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Volume of a Rectangular Solid
Isosceles and Equilateral triangles
Counting the Possibilities
PEMDAS
24. Change in y/ change in x rise/run
Using Two Points to Find the Slope
Remainders
Multiplying Monomials
Average Formula -
25. To solve a proportion - cross multiply
Area of a Circle
Multiples of 3 and 9
Rate
Solving a Proportion
26. Subtract the smallest from the largest and add 1
Multiples of 3 and 9
Reducing Fractions
Using the Average to Find the Sum
Counting Consecutive Integers
27. Add the exponents and keep the same base
Domain and Range of a Function
Combined Percent Increase and Decrease
Multiplying and Dividing Powers
Characteristics of a Parallelogram
28. 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
Interior and Exterior Angles of a Triangle
Volume of a Rectangular Solid
Mixed Numbers and Improper Fractions
Counting the Possibilities
29. 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
Median and Mode
Rate
Negative Exponent and Rational Exponent
Mixed Numbers and Improper Fractions
30. Domain: all possible values of x for a function range: all possible outputs of a function
Combined Percent Increase and Decrease
Domain and Range of a Function
Area of a Sector
Finding the midpoint
31. 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
Determining Absolute Value
Domain and Range of a Function
Identifying the Parts and the Whole
Number Categories
32. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Reciprocal
Length of an Arc
Union of Sets
Solving a Quadratic Equation
33. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Volume of a Cylinder
Probability
Intersection of sets
Determining Absolute Value
34. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Exponential Growth
Domain and Range of a Function
Setting up a Ratio
Simplifying Square Roots
35. pr^2
Percent Increase and Decrease
Area of a Circle
Multiplying Monomials
Finding the Distance Between Two Points
36. The smallest multiple (other than zero) that two or more numbers have in common.
Rate
(Least) Common Multiple
Function - Notation - and Evaulation
Interior and Exterior Angles of a Triangle
37. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Using Two Points to Find the Slope
Intersecting Lines
Multiplying and Dividing Powers
Average Formula -
38. 1. Re-express them with common denominators 2. Convert them to decimals
Parallel Lines and Transversals
Direct and Inverse Variation
Using Two Points to Find the Slope
Comparing Fractions
39. 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
Domain and Range of a Function
Using an Equation to Find an Intercept
Isosceles and Equilateral triangles
Area of a Circle
40. Volume of a Cylinder = pr^2h
Volume of a Rectangular Solid
Volume of a Cylinder
Counting the Possibilities
(Least) Common Multiple
41. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Intersection of sets
Multiplying and Dividing Roots
Direct and Inverse Variation
Reciprocal
42. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Using Two Points to Find the Slope
Area of a Sector
Finding the Distance Between Two Points
Combined Percent Increase and Decrease
43. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Using Two Points to Find the Slope
Adding and Subtraction Polynomials
Number Categories
44. 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 Rectangle
Adding and Subtracting monomials
Finding the Distance Between Two Points
Characteristics of a Parallelogram
45. Sum=(Average) x (Number of Terms)
Finding the Original Whole
Solving a Proportion
Using the Average to Find the Sum
Dividing Fractions
46. Surface Area = 2lw + 2wh + 2lh
Reducing Fractions
Surface Area of a Rectangular Solid
Solving a Quadratic Equation
Setting up a Ratio
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
Triangle Inequality Theorem
Greatest Common Factor
The 3-4-5 Triangle
Counting the Possibilities
48. 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
Simplifying Square Roots
Area of a Circle
Function - Notation - and Evaulation
49. 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
Percent Increase and Decrease
Similar Triangles
Function - Notation - and Evaulation
Volume of a Cylinder
50. 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
Finding the Missing Number
Repeating Decimal
Interior and Exterior Angles of a Triangle
Characteristics of a Rectangle