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Test your basic knowledge |
CSET Multiple Subjects Subtest 2a Domain 1: Math
Start Test
Study First
Subjects
:
cset
,
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. Find a number that divides evenly into one numerator and one denominator. Reducing early only applies to multiplying fractions - not adding or subtracting.
1 kilometer (in miles)
Some properties/axioms of addition and multiplication
Identity number for multiplication
Reducing when multiplying fractions
2. Is less than or equal to
Communicative property for addition
Place value
=
Reducing when multiplying fractions
3. Mnemonic: Please Excuse My Dear Aunt Sally 1. Parentheses 2. Exponents 3. Multiplication or division 4. Addition or subtraction (left to right)
Order of operations
Additive inverse
Some properties/axioms of addition and multiplication
Number line
4. The additive inverse of a number (also known as the opposite of the number) is a value that - when added to any number - equals 0. Any number added to its additive inverse equals 0.
1 liter (in quarts)
Distributive property
Additive inverse
3 1/2 =
5. .125 = .12 1/2= 12 1/2%
1/8 =
1 gram (in ounces)
Natural numbers
Parentheses
6. 2/10 = .2 = .20 = 20%
Square numbers
Finding percent of a number
Changing decimals to fractions
1/5 =
7. Multiply the whole number by the denominator - add the numerator - and then place that value over the denominator
Identity number
2/3 =
Changing a mixed number to an improper fraction
Mixed number
8. Fraction must be reduced to its lowest terms. This is done by finding the greatest common factor (GCF) for both the numerator and denominator and then dividing both the numerator and denominator by that value.
Decimals
Addition
Reducing fractions
Percentage increase or decrease
9. .3 = .30 = 30%
Scientific notation
9/10 =
3/10 =
Weight (metric system)
10. Divide the denominator into the numerator
Finding percent of a number
Changing an improper fraction to a whole or mixed number
Common fraction
Reducing when multiplying fractions
11. 0 - 1 - 2 - 3 - 4 -... the natural numbers together with 0
3/4 =
Whole numbers
Integers
Multiplying decimals
12. When the place value name ends with a 'ths -' it is an indication of being a fraction.
Rational numbers
Place value
Multiplicative inverse
Communicative property
13. First change all the denominators to their least common multiple (LCM) - which in fractions is known as the least common denominator (LCD). This value is the least positive value that all the denominators will divide into without a remainder.
Multiplying fractions
Cube numbers
Identity number
Adding fractions
14. Numbers to the right of 0 are positive - Numbers to the left of 0 are negative - Given any two numbers on a number line - the one on the right is always larger - regardless of its sign (positive or negative)
Adding and subtracting decimals
Adding mixed numbers
Number line
Fractions
15. Is greater than or equal to
1 square yard (in square feet)
Fractions
=
Multiplying or dividing signed numbers
16. ...-3 - -2 - -1 - 0 - 1 - 2 - 3... all the whole numbers together with their opposites
Changing percents to fractions
Integers
1 kilogram (in pounds)
1 pound (in ounces)
17. Positive numbers and negative numbers
7/10 =
Signed numbers
Reducing fractions
18. The order in which addition or multiplication is done does not affect the answer
Adding fractions
Adding signed numbers
Communicative property
1 yard (in feet - inches)
19. 2 pints
Dividing fractions
Simplifying fractions
Subtracting fractions
1 quart (in pints)
20. Is equal to
Communicative property for multiplication
1 gram (in ounces)
Multiplying or dividing signed numbers
=
21. 4/10 = .4 = .40 = 40%
3/4 =
2/5 =
<
Reducing when multiplying fractions
22. The same as dividing other numbers - except that if the divisor (the number you're dividing by) has a decimal - move it to the right as many places as necessary until it is a whole number - Move the decimal point in the dividend (the number being div
Dividing decimals
Other applications of a percent
Reducing fractions
1/100 =
23. Length (meter) - Volume (liter) - Weight (gram)
1 meter (in yards)
Order of operations
Metric/international system of units
Identity number
24. .66 2/3 = .66 2/3 = 66 2/3%
Words that signal an operation
Reducing when multiplying fractions
Changing decimals to percents
2/3 =
25. Square roots of nonperfect squares can be approximated.
1 gram (in ounces)
Approximating square roots
Scientific notation
3 1/2 =
26. 1.1 yards
1 meter (in yards)
1/2 =
Length (metric system)
Words that signal an operation
27. When adding two numbers with the same sign (either both positive or both negative) - add the pure number portions (absolute values) and keep the sign that is on the numbers
1 square yard (in square feet)
Square root rules: multiplication and division
Adding signed numbers
Improper fraction
28. All the rational and irrational numbers
Common fraction
Percentage increase or decrease
1 yard (in feet - inches)
Real numbers
29. (change/starting point) x 100 = percentage change
Parentheses
Percentage increase or decrease
Subtraction
||
30. .9 = .90 = 90%
1 =
9/10 =
Integers
=
31. Invert (turn upside down) the second fraction and multiply; reduce if necessary.
1/10 =
Changing decimals to fractions
Simplifying square roots
Dividing fractions
32. Eliminate the percent sign - Move the decimal point two places to the left (sometimes adding zeros will be necessary)
Changing percents to fractions
1 liter (in quarts)
1 gallon (in quarts)
Changing percents to decimals
33. Product - times - of - at (examples: 2/3 of 5 is what? 3 at 5 cents cost how much?)
Metric system prefixes
Square root rules: addition and subtraction
Integers
Multiplication
34. The results of taking integers and raising them to the 3rd power (cubing them) The first seven positive ____________ are 1 - 8 - 27 - 64 - 125 - 216 - and 343
Cube numbers
1 pound (in ounces)
Associative property
Natural numbers
35. 75/100 = .75 = 75%
3/4 =
Mixed number
Finding percent of a number
1 meter (in yards)
36. Any exponent means to multiply by itself that many times
Square (verb)
Associative property for multiplication
Changing fractions to percents
Exponent
37. 16 ounces
Addition
Multiplying mixed numbers
1 pound (in ounces)
Communicative property
38. The results of taking integers and raising them to the 2nd power (squaring them) The first seven positive ___________ are 1 - 4 - 9 - 16 - 25 - 36 - and 49
1 square yard (in square feet)
Improper fraction
1/8 =
Square numbers
39. 1760 yards 5280 feet
Cube numbers
3/8 =
1/5 =
1 mile (in yards - feet)
40. 3.5 = 3.50 = 350%
3 1/2 =
1/8 =
Multiplying fractions
Common fraction
41. 1.1 quarts
1 liter (in quarts)
=
1 meter (in yards)
1 ton (in pounds)
42. Multiply by 100 - Insert a percent sign
Simplifying fractions
Multiplying decimals
2/5 =
Changing fractions to percents
43. Move the decimal point two places to the right - Insert a percent sign
1 mile (in yards - feet)
2/5 =
Changing fractions to decimals
Changing decimals to percents
44. Is not equal to
3/8 =
?
Dividing decimals
5/6 =
45. Read it - Write it - Reduce it
2/3 =
Addition
1 pint (in cups)
Changing decimals to fractions
46. All values that can be expressed in the form a/b - where a and b are integers and b ? 0 - Or - when expressed in decimal form - the expression either terminates or has a repeating pattern
1/100 =
=
Rational numbers
1 kilogram (in pounds)
47. 144 square inches
Whole numbers
Exponent
1/5 =
1 square foot (in square inches)
48. Kilometer (km) = 1000 meters hectometer (hm) = 100 meters decameter (dam) = 10 meters meter (m) = 1 meter decimeter (dm) = 0.1 meter centimeter (cm) = 0.01 meter millimeter (mm) = 0.001 meter
Multiplying or dividing signed numbers
1 ton (in pounds)
Length (metric system)
1 gallon (in quarts)
49. Find the LCD and add the whole numbers to get your final answer.
3/10 =
Adding mixed numbers
Multiplication
3 1/2 =
50. A + b = b + a Note: Subtraction does not have the communicative property.
Multiplying fractions
1 mile (in yards - feet)
||
Communicative property for addition