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Test your basic knowledge |
SAT Math: Concepts And Tricks
Start Test
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. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Characteristics of a Rectangle
Circumference of a Circle
Multiplying and Dividing Roots
Solving a Quadratic Equation
2. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Multiplying Monomials
Average Formula -
Finding the Distance Between Two Points
Characteristics of a Square
3. 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.
Pythagorean Theorem
Number Categories
Combined Percent Increase and Decrease
Average Rate
4. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Multiplying Fractions
Setting up a Ratio
Solving a Quadratic Equation
Using the Average to Find the Sum
5. To solve a proportion - cross multiply
Using Two Points to Find the Slope
The 5-12-13 Triangle
Solving a Proportion
Similar Triangles
6. 1. Re-express them with common denominators 2. Convert them to decimals
Tangency
Percent Increase and Decrease
Comparing Fractions
Median and Mode
7. To divide fractions - invert the second one and multiply
Counting the Possibilities
Dividing Fractions
Part-to-Part Ratios and Part-to-Whole Ratios
Area of a Circle
8. Part = Percent x Whole
Relative Primes
Solving a Quadratic Equation
Percent Formula
Raising Powers to Powers
9. 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
Multiplying Fractions
Combined Percent Increase and Decrease
Negative Exponent and Rational Exponent
10. The whole # left over after division
Median and Mode
Multiplying and Dividing Roots
Remainders
Surface Area of a Rectangular Solid
11. To find the reciprocal of a fraction switch the numerator and the denominator
Relative Primes
Reciprocal
Adding and Subtracting monomials
Multiples of 3 and 9
12. pr^2
Area of a Circle
Identifying the Parts and the Whole
Mixed Numbers and Improper Fractions
Volume of a Rectangular Solid
13. 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
Interior and Exterior Angles of a Triangle
Multiples of 2 and 4
Adding and Subtraction Polynomials
Percent Formula
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
Parallel Lines and Transversals
Area of a Circle
Factor/Multiple
Function - Notation - and Evaulation
15. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Union of Sets
Multiples of 3 and 9
Using an Equation to Find an Intercept
Adding and Subtraction Polynomials
16. (average of the x coordinates - average of the y coordinates)
Remainders
Similar Triangles
Adding and Subtraction Polynomials
Finding the midpoint
17. 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
Pythagorean Theorem
Relative Primes
Median and Mode
Finding the midpoint
18. 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
Multiplying/Dividing Signed Numbers
Average Formula -
Part-to-Part Ratios and Part-to-Whole Ratios
Adding and Subtraction Polynomials
19. 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
Union of Sets
Reciprocal
Multiplying/Dividing Signed Numbers
Adding/Subtracting Fractions
20. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Multiplying Monomials
Factor/Multiple
Solving a System of Equations
Triangle Inequality Theorem
21. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Intersecting Lines
Pythagorean Theorem
Volume of a Rectangular Solid
Solving a System of Equations
22. The smallest multiple (other than zero) that two or more numbers have in common.
Greatest Common Factor
Identifying the Parts and the Whole
Remainders
(Least) Common Multiple
23. 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
Characteristics of a Parallelogram
Area of a Sector
Multiplying and Dividing Roots
24. 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
Multiplying Fractions
Average Rate
Surface Area of a Rectangular Solid
25. Add the exponents and keep the same base
Identifying the Parts and the Whole
Finding the Missing Number
Solving a Proportion
Multiplying and Dividing Powers
26. Surface Area = 2lw + 2wh + 2lh
Average Rate
Using an Equation to Find the Slope
Surface Area of a Rectangular Solid
Direct and Inverse Variation
27. 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
Circumference of a Circle
Solving an Inequality
Negative Exponent and Rational Exponent
Volume of a Cylinder
28. 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)
Evaluating an Expression
Length of an Arc
Using Two Points to Find the Slope
Probability
29. 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
Isosceles and Equilateral triangles
Similar Triangles
Percent Formula
30. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Percent Increase and Decrease
Exponential Growth
Remainders
Reducing Fractions
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
Solving a System of Equations
Mixed Numbers and Improper Fractions
Combined Percent Increase and Decrease
Identifying the Parts and the Whole
32. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Adding and Subtracting monomials
Characteristics of a Square
Intersection of sets
Adding/Subtracting Fractions
33. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Isosceles and Equilateral triangles
Percent Formula
Characteristics of a Square
Evaluating an Expression
34. 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
Percent Formula
Interior and Exterior Angles of a Triangle
Volume of a Rectangular Solid
The 3-4-5 Triangle
35. Volume of a Cylinder = pr^2h
Determining Absolute Value
Volume of a Cylinder
Identifying the Parts and the Whole
Median and Mode
36. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Similar Triangles
Multiples of 3 and 9
Remainders
Function - Notation - and Evaulation
37. To increase: add decimal version of percent to one and times that # to the # you want to increase. Example: increase 40 by 25% Work: 1.25*40=? Answer: 50
Median and Mode
Percent Increase and Decrease
Area of a Triangle
Adding and Subtracting monomials
38. Combine equations in such a way that one of the variables cancel out
Parallel Lines and Transversals
Solving a System of Equations
Intersection of sets
Characteristics of a Square
39. 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
Multiplying Monomials
Combined Percent Increase and Decrease
Similar Triangles
40. For all right triangles: a^2+b^2=c^2
Pythagorean Theorem
Tangency
Domain and Range of a Function
Percent Formula
41. 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
Triangle Inequality Theorem
Exponential Growth
Area of a Circle
Average of Evenly Spaced Numbers
42. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Union of Sets
Average Rate
Evaluating an Expression
Multiples of 2 and 4
43. 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
Median and Mode
Negative Exponent and Rational Exponent
Area of a Triangle
Function - Notation - and Evaulation
44. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Determining Absolute Value
Factor/Multiple
Interior Angles of a Polygon
Negative Exponent and Rational Exponent
45. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Union of Sets
Average of Evenly Spaced Numbers
Adding and Subtracting Roots
The 5-12-13 Triangle
46. 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
Rate
Solving a Proportion
Multiples of 2 and 4
Multiplying Monomials
47. A square is a rectangle with four equal sides; Area of Square = side*side
Characteristics of a Square
Reciprocal
Area of a Triangle
Isosceles and Equilateral triangles
48. Probability= Favorable Outcomes/Total Possible Outcomes
Average Rate
Characteristics of a Rectangle
Number Categories
Probability
49. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Surface Area of a Rectangular Solid
Adding/Subtracting Signed Numbers
Adding and Subtracting Roots
Intersecting Lines
50. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
PEMDAS
Multiplying Monomials
Factor/Multiple
Area of a Triangle
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