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Test your basic knowledge |
SAT Math: Concepts And Tricks
Subjects
:
sat
,
math
Instructions:
Answer
50
questions in
20 minutes
.
1 minute extra for reading the instructions.
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 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
Adding and Subtracting monomials
Determining Absolute Value
Dividing Fractions
Multiplying/Dividing Signed Numbers
2. To solve a proportion - cross multiply
Solving a Proportion
Parallel Lines and Transversals
Adding and Subtracting Roots
Repeating Decimal
3. For all right triangles: a^2+b^2=c^2
Union of Sets
Solving an Inequality
Setting up a Ratio
Pythagorean Theorem
4. Sum=(Average) x (Number of Terms)
Using an Equation to Find an Intercept
Using the Average to Find the Sum
Volume of a Cylinder
Reciprocal
5. Add the exponents and keep the same base
Negative Exponent and Rational Exponent
Even/Odd
Using an Equation to Find the Slope
Multiplying and Dividing Powers
6. (average of the x coordinates - average of the y coordinates)
Raising Powers to Powers
Evaluating an Expression
Finding the midpoint
Length of an Arc
7. To multiply fractions - multiply the numerators and multiply the denominators
Adding and Subtraction Polynomials
Multiplying and Dividing Powers
Multiplying Fractions
Volume of a Rectangular Solid
8. Surface Area = 2lw + 2wh + 2lh
Identifying the Parts and the Whole
Surface Area of a Rectangular Solid
Characteristics of a Parallelogram
Counting Consecutive Integers
9. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Solving a System of Equations
Interior Angles of a Polygon
Identifying the Parts and the Whole
Median and Mode
10. 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
Evaluating an Expression
Characteristics of a Parallelogram
Even/Odd
Circumference of a Circle
11. 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
Solving an Inequality
Reciprocal
Part-to-Part Ratios and Part-to-Whole Ratios
Greatest Common Factor
12. The smallest multiple (other than zero) that two or more numbers have in common.
Reciprocal
(Least) Common Multiple
Characteristics of a Parallelogram
PEMDAS
13. 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
Multiples of 2 and 4
Characteristics of a Square
Characteristics of a Parallelogram
Identifying the Parts and the Whole
14. 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)
Intersection of sets
PEMDAS
Intersecting Lines
Length of an Arc
15. 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
Using an Equation to Find an Intercept
Function - Notation - and Evaulation
Average Rate
Using an Equation to Find the Slope
16. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Solving a System of Equations
Determining Absolute Value
Using Two Points to Find the Slope
Area of a Sector
17. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Similar Triangles
Average Formula -
Average Rate
(Least) Common Multiple
18. 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
Percent Increase and Decrease
Area of a Circle
Finding the Distance Between Two Points
Exponential Growth
19. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Circumference of a Circle
Average Rate
Simplifying Square Roots
Prime Factorization
20. 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
Finding the Original Whole
Probability
Relative Primes
21. 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
Direct and Inverse Variation
Multiplying and Dividing Roots
Median and Mode
Isosceles and Equilateral triangles
22. 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
Rate
Using the Average to Find the Sum
Exponential Growth
PEMDAS
23. 2pr
Circumference of a Circle
Identifying the Parts and the Whole
Intersecting Lines
Domain and Range of a Function
24. 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
Area of a Circle
Surface Area of a Rectangular Solid
Relative Primes
25. Part = Percent x Whole
Percent Formula
The 5-12-13 Triangle
Interior and Exterior Angles of a Triangle
Finding the Missing Number
26. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Median and Mode
Adding and Subtracting monomials
Counting Consecutive Integers
Using an Equation to Find an Intercept
27. Multiply the exponents
The 5-12-13 Triangle
Part-to-Part Ratios and Part-to-Whole Ratios
Raising Powers to Powers
Characteristics of a Rectangle
28. 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
Identifying the Parts and the Whole
Solving a Quadratic Equation
Relative Primes
Simplifying Square Roots
29. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Raising Powers to Powers
Remainders
Finding the Distance Between Two Points
Percent Formula
30. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Mixed Numbers and Improper Fractions
Multiplying Monomials
Solving a Proportion
Relative Primes
31. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Evaluating an Expression
Isosceles and Equilateral triangles
Mixed Numbers and Improper Fractions
Adding/Subtracting Signed Numbers
32. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Intersecting Lines
Even/Odd
Median and Mode
Evaluating an Expression
33. 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)
Intersection of sets
Area of a Sector
Negative Exponent and Rational Exponent
Exponential Growth
34. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
The 3-4-5 Triangle
Characteristics of a Rectangle
Solving a Quadratic Equation
Setting up a Ratio
35. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Evaluating an Expression
Adding/Subtracting Fractions
The 3-4-5 Triangle
Interior Angles of a Polygon
36. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Evaluating an Expression
Adding and Subtracting monomials
Domain and Range of a Function
37. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Circumference of a Circle
Average of Evenly Spaced Numbers
Characteristics of a Parallelogram
Volume of a Rectangular Solid
38. Start with 100 as a starting value - Example: A price rises by 10% one year and by 20% the next. What's the combined percent increase? - Say the original price is $100. Year one: $100 + (10% of 100) = 100 + 10 = 110 Year two: 110 + (20% of 110) = 110
Exponential Growth
Combined Percent Increase and Decrease
Comparing Fractions
Identifying the Parts and the Whole
39. Combine like terms
Simplifying Square Roots
Parallel Lines and Transversals
Adding/Subtracting Signed Numbers
Adding and Subtraction Polynomials
40. # 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
Simplifying Square Roots
Adding/Subtracting Fractions
Union of Sets
41. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Area of a Circle
Reducing Fractions
Adding/Subtracting Signed Numbers
Counting the Possibilities
42. Factor out the perfect squares
Simplifying Square Roots
Area of a Sector
Adding and Subtracting monomials
Percent Increase and Decrease
43. The largest factor that two or more numbers have in common.
Function - Notation - and Evaulation
Identifying the Parts and the Whole
Area of a Circle
Greatest Common Factor
44. 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
Tangency
Function - Notation - and Evaulation
Using the Average to Find the Sum
The 5-12-13 Triangle
45. To find the reciprocal of a fraction switch the numerator and the denominator
Interior Angles of a Polygon
Finding the Original Whole
Reciprocal
PEMDAS
46. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Percent Formula
Using an Equation to Find an Intercept
Average of Evenly Spaced Numbers
Using the Average to Find the Sum
47. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Comparing Fractions
Combined Percent Increase and Decrease
Union of Sets
Remainders
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
Area of a Circle
The 3-4-5 Triangle
Using Two Points to Find the Slope
Probability
49. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Finding the Missing Number
Parallel Lines and Transversals
Factor/Multiple
Adding/Subtracting Signed Numbers
50. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Direct and Inverse Variation
PEMDAS
Parallel Lines and Transversals
Number Categories