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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. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Adding/Subtracting Signed Numbers
Solving an Inequality
Multiples of 3 and 9
Similar Triangles
2. Volume of a Cylinder = pr^2h
Adding and Subtracting monomials
Volume of a Cylinder
Solving an Inequality
Volume of a Rectangular Solid
3. Factor out the perfect squares
Simplifying Square Roots
Multiples of 3 and 9
Using an Equation to Find the Slope
Comparing Fractions
4. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Evaluating an Expression
Area of a Circle
The 5-12-13 Triangle
Multiplying and Dividing Powers
5. Change in y/ change in x rise/run
Multiples of 2 and 4
Using Two Points to Find the Slope
Union of Sets
Raising Powers to Powers
6. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Parallel Lines and Transversals
Tangency
The 3-4-5 Triangle
Solving a System of Equations
7. 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
Characteristics of a Rectangle
Remainders
Function - Notation - and Evaulation
Volume of a Rectangular Solid
8. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Isosceles and Equilateral triangles
PEMDAS
Median and Mode
Greatest Common Factor
9. Subtract the smallest from the largest and add 1
Area of a Triangle
Counting Consecutive Integers
Adding/Subtracting Signed Numbers
Multiples of 2 and 4
10. 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
Volume of a Cylinder
Repeating Decimal
Number Categories
Interior Angles of a Polygon
11. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Characteristics of a Square
Finding the Missing Number
Domain and Range of a Function
Volume of a Rectangular Solid
12. 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 and Exterior Angles of a Triangle
Characteristics of a Rectangle
Simplifying Square Roots
Using the Average to Find the Sum
13. pr^2
Average Rate
Area of a Circle
Counting the Possibilities
Parallel Lines and Transversals
14. 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
Area of a Triangle
Reducing Fractions
Adding/Subtracting Signed Numbers
Circumference of a Circle
15. Part = Percent x Whole
Relative Primes
Percent Formula
Reciprocal
Area of a Triangle
16. If there are m ways one event can happen and n ways a second event can happen - then there are m × n ways for the 2 events to happen
Dividing Fractions
Length of an Arc
Counting the Possibilities
Solving a System of Equations
17. Surface Area = 2lw + 2wh + 2lh
Percent Formula
Determining Absolute Value
Surface Area of a Rectangular Solid
Characteristics of a Parallelogram
18. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
Triangle Inequality Theorem
Finding the Original Whole
Solving a Proportion
19. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Remainders
The 5-12-13 Triangle
Adding/Subtracting Signed Numbers
Average Formula -
20. 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
Percent Formula
Exponential Growth
Parallel Lines and Transversals
Solving an Inequality
21. 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)
Area of a Sector
Multiplying Fractions
Number Categories
The 3-4-5 Triangle
22. 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
Direct and Inverse Variation
Rate
Using an Equation to Find the Slope
Characteristics of a Parallelogram
23. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Using Two Points to Find the Slope
Interior and Exterior Angles of a Triangle
Combined Percent Increase and Decrease
Multiplying Monomials
24. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Counting the Possibilities
Determining Absolute Value
Multiplying/Dividing Signed Numbers
Number Categories
25. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Prime Factorization
Probability
Using Two Points to Find the Slope
Using the Average to Find the Sum
26. Domain: all possible values of x for a function range: all possible outputs of a function
Area of a Circle
Using an Equation to Find an Intercept
Domain and Range of a Function
Adding/Subtracting Fractions
27. To multiply fractions - multiply the numerators and multiply the denominators
Solving a Proportion
Repeating Decimal
Percent Formula
Multiplying Fractions
28. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Adding/Subtracting Signed Numbers
Solving a Quadratic Equation
Volume of a Rectangular Solid
Intersection of sets
29. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Volume of a Cylinder
Characteristics of a Parallelogram
Multiplying/Dividing Signed Numbers
Median and Mode
30. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
The 3-4-5 Triangle
Average of Evenly Spaced Numbers
Using Two Points to Find the Slope
Interior Angles of a Polygon
31. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Multiples of 2 and 4
Using an Equation to Find an Intercept
Reciprocal
Raising Powers to Powers
32. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
The 5-12-13 Triangle
Reciprocal
Raising Powers to Powers
Factor/Multiple
33. To find the reciprocal of a fraction switch the numerator and the denominator
Intersecting Lines
Counting the Possibilities
Factor/Multiple
Reciprocal
34. 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
PEMDAS
Multiples of 3 and 9
Average Formula -
Rate
35. The whole # left over after division
Identifying the Parts and the Whole
Isosceles and Equilateral triangles
Remainders
Negative Exponent and Rational Exponent
36. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Adding and Subtracting monomials
Adding/Subtracting Fractions
Solving an Inequality
Area of a Circle
37. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Solving a Quadratic Equation
Tangency
Reciprocal
Domain and Range of a Function
38. 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
Intersecting Lines
Rate
Isosceles and Equilateral triangles
39. 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
Surface Area of a Rectangular Solid
Reducing Fractions
Solving an Inequality
Multiplying/Dividing Signed Numbers
40. 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
Area of a Triangle
Using an Equation to Find an Intercept
Solving a Quadratic Equation
Dividing Fractions
41. Combine like terms
Counting the Possibilities
Multiplying/Dividing Signed Numbers
Direct and Inverse Variation
Adding and Subtraction Polynomials
42. A square is a rectangle with four equal sides; Area of Square = side*side
Multiplying and Dividing Powers
Reducing Fractions
Characteristics of a Square
Average Formula -
43. 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
Volume of a Rectangular Solid
Interior and Exterior Angles of a Triangle
Using the Average to Find the Sum
44. 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
Solving an Inequality
The 3-4-5 Triangle
Multiplying Fractions
Median and Mode
45. 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
Adding and Subtraction Polynomials
Number Categories
Function - Notation - and Evaulation
Percent Increase and Decrease
46. 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
Rate
Triangle Inequality Theorem
Adding and Subtracting Roots
Mixed Numbers and Improper Fractions
47. 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
Circumference of a Circle
Interior and Exterior Angles of a Triangle
Greatest Common Factor
Raising Powers to Powers
48. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Multiplying Monomials
Solving an Inequality
Median and Mode
Union of Sets
49. 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
Direct and Inverse Variation
Combined Percent Increase and Decrease
Dividing Fractions
Simplifying Square Roots
50. 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
Percent Increase and Decrease
Relative Primes
Mixed Numbers and Improper Fractions
Negative Exponent and Rational Exponent