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Test your basic knowledge |
SAT Math: Concepts And Tricks
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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 square is a rectangle with four equal sides; Area of Square = side*side
Finding the Missing Number
Characteristics of a Square
Percent Increase and Decrease
Finding the Distance Between Two Points
2. Subtract the smallest from the largest and add 1
Solving a Proportion
Probability
Counting Consecutive Integers
Multiples of 2 and 4
3. Part = Percent x Whole
Raising Powers to Powers
PEMDAS
Percent Formula
Reciprocal
4. 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.
Intersection of sets
Number Categories
Setting up a Ratio
Intersecting Lines
5. (average of the x coordinates - average of the y coordinates)
Exponential Growth
Finding the midpoint
Interior and Exterior Angles of a Triangle
Number Categories
6. 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
Volume of a Cylinder
Solving an Inequality
Adding/Subtracting Signed Numbers
7. 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
Prime Factorization
Raising Powers to Powers
Multiplying Fractions
Solving an Inequality
8. 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
Simplifying Square Roots
Factor/Multiple
Multiples of 3 and 9
Rate
9. Domain: all possible values of x for a function range: all possible outputs of a function
Remainders
Domain and Range of a Function
Mixed Numbers and Improper Fractions
Counting the Possibilities
10. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Tangency
Prime Factorization
Greatest Common Factor
Area of a Triangle
11. you can add/subtract when the part under the radical is the same
Multiplying and Dividing Roots
Adding and Subtracting Roots
Determining Absolute Value
Even/Odd
12. 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
Reducing Fractions
Union of Sets
Area of a Triangle
Percent Formula
13. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Parallel Lines and Transversals
Finding the midpoint
Interior Angles of a Polygon
Prime Factorization
14. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Raising Powers to Powers
Setting up a Ratio
Adding and Subtracting Roots
Multiplying Monomials
15. 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
Simplifying Square Roots
Reducing Fractions
Similar Triangles
16. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Negative Exponent and Rational Exponent
Solving an Inequality
Multiplying and Dividing Roots
Characteristics of a Parallelogram
17. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Tangency
Adding and Subtraction Polynomials
Reciprocal
Multiplying and Dividing Roots
18. 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
Solving an Inequality
PEMDAS
Median and Mode
Direct and Inverse Variation
19. Change in y/ change in x rise/run
Multiplying and Dividing Roots
(Least) Common Multiple
Evaluating an Expression
Using Two Points to Find the Slope
20. The whole # left over after division
Remainders
Adding/Subtracting Fractions
Determining Absolute Value
Number Categories
21. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Isosceles and Equilateral triangles
Combined Percent Increase and Decrease
Number Categories
Using an Equation to Find the Slope
22. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Part-to-Part Ratios and Part-to-Whole Ratios
Prime Factorization
Average of Evenly Spaced Numbers
Determining Absolute Value
23. Volume of a Cylinder = pr^2h
Simplifying Square Roots
Union of Sets
Volume of a Cylinder
Solving a Quadratic Equation
24. Probability= Favorable Outcomes/Total Possible Outcomes
Characteristics of a Parallelogram
Adding and Subtracting monomials
Solving a System of Equations
Probability
25. For all right triangles: a^2+b^2=c^2
Finding the Missing Number
Union of Sets
Pythagorean Theorem
Greatest Common Factor
26. 1. Re-express them with common denominators 2. Convert them to decimals
Comparing Fractions
(Least) Common Multiple
Exponential Growth
Isosceles and Equilateral triangles
27. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Intersecting Lines
Repeating Decimal
Area of a Triangle
Similar Triangles
28. 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)
PEMDAS
Length of an Arc
Area of a Sector
Parallel Lines and Transversals
29. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Similar Triangles
Dividing Fractions
Comparing Fractions
Multiples of 2 and 4
30. To convert a mixed number to an improper fraction - multiply the whole number by the denominator - then add the numerator over the same denominator - to convert an improper fraction to a mixed number - divide the denominator into the numerator to get
Exponential Growth
Adding and Subtraction Polynomials
Mixed Numbers and Improper Fractions
Average Formula -
31. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Tangency
Intersecting Lines
Union of Sets
Adding and Subtracting monomials
32. 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
Even/Odd
Solving a System of Equations
Reducing Fractions
33. To divide fractions - invert the second one and multiply
Dividing Fractions
Finding the Missing Number
Simplifying Square Roots
Parallel Lines and Transversals
34. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Intersection of sets
Multiples of 2 and 4
Counting the Possibilities
Adding/Subtracting Signed Numbers
35. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
Repeating Decimal
Multiplying Fractions
Using an Equation to Find the Slope
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
Solving an Inequality
The 3-4-5 Triangle
The 5-12-13 Triangle
Adding/Subtracting Signed Numbers
37. The largest factor that two or more numbers have in common.
Factor/Multiple
Greatest Common Factor
Characteristics of a Square
Repeating Decimal
38. 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
Remainders
Volume of a Cylinder
Domain and Range of a Function
Negative Exponent and Rational Exponent
39. 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
Domain and Range of a Function
Solving a Proportion
Area of a Sector
40. 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
The 3-4-5 Triangle
Multiplying/Dividing Signed Numbers
Evaluating an Expression
Part-to-Part Ratios and Part-to-Whole Ratios
41. 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
Finding the Distance Between Two Points
Counting the Possibilities
Combined Percent Increase and Decrease
Parallel Lines and Transversals
42. 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
Repeating Decimal
Using an Equation to Find an Intercept
Multiples of 2 and 4
Parallel Lines and Transversals
43. To multiply fractions - multiply the numerators and multiply the denominators
Multiplying Fractions
Multiples of 2 and 4
Percent Formula
Area of a Circle
44. The smallest multiple (other than zero) that two or more numbers have in common.
Adding and Subtracting monomials
Raising Powers to Powers
(Least) Common Multiple
Area of a Circle
45. 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
Circumference of a Circle
Adding and Subtracting monomials
Counting Consecutive Integers
46. 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
Solving a Quadratic Equation
Even/Odd
Finding the midpoint
Area of a Circle
47. To find the reciprocal of a fraction switch the numerator and the denominator
Area of a Triangle
Determining Absolute Value
Reciprocal
Finding the Distance Between Two Points
48. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Probability
Median and Mode
Similar Triangles
The 5-12-13 Triangle
49. # 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
Union of Sets
Adding/Subtracting Signed Numbers
Function - Notation - and Evaulation
50. 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 of Evenly Spaced Numbers
Area of a Circle
Average Rate
Multiplying and Dividing Roots