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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Subjects
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sat
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math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
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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. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Average Rate
Adding and Subtracting Roots
Multiplying/Dividing Signed Numbers
Multiplying Monomials
2. 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
Finding the Original Whole
Multiplying Monomials
Parallel Lines and Transversals
Multiplying/Dividing Signed Numbers
3. The whole # left over after division
Length of an Arc
Remainders
Finding the Distance Between Two Points
Volume of a Cylinder
4. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Volume of a Rectangular Solid
PEMDAS
Relative Primes
Parallel Lines and Transversals
5. To solve a proportion - cross multiply
Volume of a Cylinder
Solving a Proportion
Multiplying/Dividing Signed Numbers
Rate
6. Factor out the perfect squares
Characteristics of a Rectangle
Reducing Fractions
Setting up a Ratio
Simplifying Square Roots
7. Combine equations in such a way that one of the variables cancel out
Using the Average to Find the Sum
Solving a System of Equations
Combined Percent Increase and Decrease
Similar Triangles
8. 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
Probability
Number Categories
Finding the Original Whole
Characteristics of a Parallelogram
9. 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
Median and Mode
Tangency
Combined Percent Increase and Decrease
Isosceles and Equilateral triangles
10. Domain: all possible values of x for a function range: all possible outputs of a function
Reducing Fractions
Domain and Range of a Function
Parallel Lines and Transversals
Number Categories
11. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
Number Categories
Adding and Subtracting monomials
Volume of a Rectangular Solid
12. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Percent Increase and Decrease
Domain and Range of a Function
Multiplying Monomials
13. 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
Raising Powers to Powers
Negative Exponent and Rational Exponent
Pythagorean Theorem
Interior Angles of a Polygon
14. Combine like terms
Adding and Subtraction Polynomials
Number Categories
Characteristics of a Parallelogram
Direct and Inverse Variation
15. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Repeating Decimal
Probability
Raising Powers to Powers
Determining Absolute Value
16. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Solving a Proportion
Triangle Inequality Theorem
Tangency
Domain and Range of a Function
17. 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
Greatest Common Factor
Percent Increase and Decrease
Volume of a Rectangular Solid
Parallel Lines and Transversals
18. Sum=(Average) x (Number of Terms)
Domain and Range of a Function
Using the Average to Find the Sum
Simplifying Square Roots
Combined Percent Increase and Decrease
19. (average of the x coordinates - average of the y coordinates)
Finding the midpoint
Solving an Inequality
Isosceles and Equilateral triangles
Multiples of 2 and 4
20. 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 midpoint
Triangle Inequality Theorem
Interior and Exterior Angles of a Triangle
21. 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)
Length of an Arc
Isosceles and Equilateral triangles
Interior and Exterior Angles of a Triangle
Adding/Subtracting Fractions
22. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Factor/Multiple
Adding/Subtracting Fractions
Identifying the Parts and the Whole
Intersection of sets
23. 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
PEMDAS
Combined Percent Increase and Decrease
Remainders
24. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Part-to-Part Ratios and Part-to-Whole Ratios
Adding and Subtracting monomials
Repeating Decimal
Adding/Subtracting Fractions
25. 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
Area of a Sector
Parallel Lines and Transversals
Similar Triangles
26. 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
Finding the Distance Between Two Points
Adding and Subtracting Roots
Surface Area of a Rectangular Solid
27. Add the exponents and keep the same base
Multiplying and Dividing Powers
Comparing Fractions
Percent Increase and Decrease
Multiplying and Dividing Roots
28. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Direct and Inverse Variation
Characteristics of a Rectangle
Intersection of sets
Interior Angles of a Polygon
29. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Prime Factorization
Isosceles and Equilateral triangles
Solving a System of Equations
PEMDAS
30. 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
Multiples of 3 and 9
Percent Increase and Decrease
Counting the Possibilities
Part-to-Part Ratios and Part-to-Whole Ratios
31. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Characteristics of a Parallelogram
Setting up a Ratio
Length of an Arc
Circumference of a Circle
32. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Pythagorean Theorem
Parallel Lines and Transversals
Comparing Fractions
PEMDAS
33. To divide fractions - invert the second one and multiply
Exponential Growth
Finding the Missing Number
Dividing Fractions
Circumference of a Circle
34. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Using an Equation to Find the Slope
Evaluating an Expression
Adding and Subtracting monomials
Volume of a Rectangular Solid
35. To find the reciprocal of a fraction switch the numerator and the denominator
Remainders
Adding/Subtracting Fractions
Area of a Circle
Reciprocal
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
Adding/Subtracting Signed Numbers
Determining Absolute Value
Area of a Circle
Finding the Original Whole
37. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Characteristics of a Rectangle
Median and Mode
Multiples of 3 and 9
Area of a Circle
38. 2pr
Solving a System of Equations
Circumference of a Circle
Using an Equation to Find the Slope
Reducing Fractions
39. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Determining Absolute Value
Length of an Arc
Adding/Subtracting Fractions
40. 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 Increase and Decrease
Triangle Inequality Theorem
Tangency
Exponential Growth
41. 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
Identifying the Parts and the Whole
Combined Percent Increase and Decrease
Solving an Inequality
Dividing Fractions
42. Surface Area = 2lw + 2wh + 2lh
Remainders
Surface Area of a Rectangular Solid
Multiplying/Dividing Signed Numbers
Median and Mode
43. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Evaluating an Expression
Mixed Numbers and Improper Fractions
Adding/Subtracting Fractions
Prime Factorization
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
Rate
Function - Notation - and Evaulation
Tangency
Characteristics of a Parallelogram
45. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Finding the Distance Between Two Points
Reducing Fractions
Counting the Possibilities
Combined Percent Increase and Decrease
46. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Finding the midpoint
Using an Equation to Find the Slope
Mixed Numbers and Improper Fractions
Multiples of 3 and 9
47. Part = Percent x Whole
Combined Percent Increase and Decrease
Percent Formula
Volume of a Rectangular Solid
Domain and Range of a Function
48. 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
Number Categories
Solving an Inequality
Counting the Possibilities
Using an Equation to Find an Intercept
49. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Area of a Sector
Adding/Subtracting Signed Numbers
Interior Angles of a Polygon
Solving a System of Equations
50. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Original Whole
Finding the Distance Between Two Points
Average of Evenly Spaced Numbers
Characteristics of a Rectangle