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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 evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Using an Equation to Find an Intercept
Evaluating an Expression
Union of Sets
Multiplying Fractions
2. To divide fractions - invert the second one and multiply
Prime Factorization
Volume of a Rectangular Solid
Domain and Range of a Function
Dividing Fractions
3. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Union of Sets
Relative Primes
Multiplying Fractions
4. To solve a proportion - cross multiply
Median and Mode
Combined Percent Increase and Decrease
Similar Triangles
Solving a Proportion
5. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Combined Percent Increase and Decrease
Characteristics of a Square
Reducing Fractions
Using an Equation to Find an Intercept
6. Probability= Favorable Outcomes/Total Possible Outcomes
Circumference of a Circle
Adding and Subtracting monomials
Interior and Exterior Angles of a Triangle
Probability
7. The smallest multiple (other than zero) that two or more numbers have in common.
Evaluating an Expression
Intersecting Lines
Interior and Exterior Angles of a Triangle
(Least) Common Multiple
8. 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
Finding the Missing Number
Finding the Original Whole
Negative Exponent and Rational Exponent
Identifying the Parts and the Whole
9. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Using Two Points to Find the Slope
Negative Exponent and Rational Exponent
Identifying the Parts and the Whole
PEMDAS
10. 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
Intersecting Lines
Adding and Subtracting monomials
Area of a Triangle
Part-to-Part Ratios and Part-to-Whole Ratios
11. To find the reciprocal of a fraction switch the numerator and the denominator
Solving a System of Equations
Reciprocal
Interior and Exterior Angles of a Triangle
Part-to-Part Ratios and Part-to-Whole Ratios
12. Add the exponents and keep the same base
Counting the Possibilities
Multiplying and Dividing Powers
Multiples of 3 and 9
Average Rate
13. The whole # left over after division
Setting up a Ratio
Raising Powers to Powers
Percent Formula
Remainders
14. 1. Re-express them with common denominators 2. Convert them to decimals
Triangle Inequality Theorem
Finding the midpoint
Comparing Fractions
Exponential Growth
15. 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
Prime Factorization
Isosceles and Equilateral triangles
Finding the Missing Number
16. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Greatest Common Factor
Multiplying and Dividing Roots
The 5-12-13 Triangle
Volume of a Rectangular Solid
17. 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
Reciprocal
Adding/Subtracting Signed Numbers
PEMDAS
18. # 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
Direct and Inverse Variation
Adding/Subtracting Signed Numbers
Finding the midpoint
19. 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
Using an Equation to Find the Slope
Length of an Arc
Identifying the Parts and the Whole
Average Rate
20. 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
Even/Odd
Area of a Triangle
Raising Powers to Powers
Finding the midpoint
21. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Using Two Points to Find the Slope
Multiplying and Dividing Roots
Similar Triangles
Average of Evenly Spaced Numbers
22. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Similar Triangles
Probability
Factor/Multiple
Remainders
23. 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
Greatest Common Factor
Using an Equation to Find an Intercept
Median and Mode
Interior and Exterior Angles of a Triangle
24. 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
Exponential Growth
Solving a Quadratic Equation
The 5-12-13 Triangle
25. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Relative Primes
Average Rate
Even/Odd
Finding the Distance Between Two Points
26. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Average Rate
Area of a Triangle
Similar Triangles
Finding the midpoint
27. 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)
Adding and Subtracting Roots
Direct and Inverse Variation
(Least) Common Multiple
Length of an Arc
28. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Interior and Exterior Angles of a Triangle
Repeating Decimal
Median and Mode
(Least) Common Multiple
29. The largest factor that two or more numbers have in common.
Area of a Circle
Greatest Common Factor
The 5-12-13 Triangle
Multiplying and Dividing Powers
30. 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
Volume of a Rectangular Solid
Interior and Exterior Angles of a Triangle
Rate
Setting up a Ratio
31. 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
Factor/Multiple
Similar Triangles
Characteristics of a Parallelogram
32. pr^2
Area of a Circle
Multiplying Monomials
Comparing Fractions
Multiplying and Dividing Roots
33. For all right triangles: a^2+b^2=c^2
Multiplying/Dividing Signed Numbers
Intersection of sets
Average Formula -
Pythagorean Theorem
34. 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
Adding/Subtracting Fractions
Area of a Triangle
Finding the Original Whole
Setting up a Ratio
35. 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
Average Rate
Function - Notation - and Evaulation
Remainders
Finding the Missing Number
36. 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
Parallel Lines and Transversals
The 5-12-13 Triangle
Adding/Subtracting Signed Numbers
Area of a Circle
37. To multiply fractions - multiply the numerators and multiply the denominators
Remainders
Multiplying Fractions
Multiples of 2 and 4
Determining Absolute Value
38. Direct variation: equation: y=kx - where k is a nonzero constant trick: y changes directly as x does inverse variation: equation: xy=k trick: y doubles as x halves and vice-versa
Surface Area of a Rectangular Solid
Direct and Inverse Variation
Area of a Sector
Interior Angles of a Polygon
39. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Direct and Inverse Variation
Even/Odd
Characteristics of a Rectangle
Average Formula -
40. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
(Least) Common Multiple
Average Formula -
Greatest Common Factor
Parallel Lines and Transversals
41. Multiply the exponents
Characteristics of a Parallelogram
Parallel Lines and Transversals
Direct and Inverse Variation
Raising Powers to Powers
42. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Parallel Lines and Transversals
Solving a System of Equations
Interior Angles of a Polygon
Even/Odd
43. 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
Counting the Possibilities
Volume of a Cylinder
Characteristics of a Rectangle
Dividing Fractions
44. 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 and Subtracting Roots
Domain and Range of a Function
Solving a Quadratic Equation
Pythagorean Theorem
45. A square is a rectangle with four equal sides; Area of Square = side*side
Characteristics of a Square
Multiples of 2 and 4
Using the Average to Find the Sum
Number Categories
46. you can add/subtract when the part under the radical is the same
The 5-12-13 Triangle
Adding and Subtracting Roots
Solving a Quadratic Equation
Prime Factorization
47. (average of the x coordinates - average of the y coordinates)
Interior and Exterior Angles of a Triangle
Length of an Arc
Finding the midpoint
Average of Evenly Spaced Numbers
48. Part = Percent x Whole
Dividing Fractions
Tangency
Percent Formula
Characteristics of a Parallelogram
49. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Solving a Proportion
Multiples of 3 and 9
Adding and Subtracting monomials
Multiplying and Dividing Roots
50. 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
Union of Sets
The 3-4-5 Triangle
Area of a Triangle
Factor/Multiple