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Test your basic knowledge |
CSET Multiple Subject: Math 4
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Subject
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cset
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. A quadratic equation is an equation in which...
An angle that is is larger than 90 degrees but less than 180 degrees.
One of the variables is squared.
Members/data that is consistently distributed
Whole numbers are natural numbers and include 0.
2. What are prime numbers?
Prime numbers are natural numbers that can only be divided by itself and the number 1. The first seven prime numbers are: 2 - 3 - 5 - 7 - 11 - 13 - and 17.
Integers are whole numbers and their opposites so...-3 - -2 - -1 - 0 - 1 - 2 - 3...
Tracking trends or popularity.
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
3. Area of a rectangle
Angles whose sum is 90 degrees.
Have the same shape and size
Area = w
Comparing different quantities or when tracking change over time
4. Mean is a good measure for
Integers are whole numbers and their opposites so...-3 - -2 - -1 - 0 - 1 - 2 - 3...
180 degrees
Members/data that is consistently distributed
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
5. An angle that is is larger than 90 degrees but less than 180 degrees is?
Area =
Rational numbers are values that can be expressed in fraction form (where the denominator does not = 0) and the decimal either repeats a pattern or terminates.
An obtuse angle
Change starting point X 100 = percent change
6. Circumference of a circle
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
9 square feet equal 1 square yard.
Rise/run (rise over run)
Circumference = 2
7. A function...
Y=mx + b
The fixed relationship between two quantities
Describes the relationship between two sets of data.
Rational numbers are values that can be expressed in fraction form (where the denominator does not = 0) and the decimal either repeats a pattern or terminates.
8. Two or more objects are congruent if they...
Have the same shape but different size
In which order is significant. Remember Permutation and Position
Have the same shape and size
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
9. Mode is best used when
Tracking trends or popularity.
3/1
The point at which a line intersects the y - axis.
Whole numbers are natural numbers and include 0.
10. What are composite numbers?
Parabola
Has all three of its sides of different lengths. The angles in a scalene triangle will all have different measures.
Have the same shape but different size
Composite numbers can be divided by more than itself and the number 1. The first seven composite numbers are 4 - 6 - 8 - 9 - 10 - 12 - and 14.
11. Describe an isosceles triangle.
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
Has all three of its sides of different lengths. The angles in a scalene triangle will all have different measures.
Total favorable outcomes (over/divided by) total possible outcomes
12. Outliers
13. How many feet equal 1 mile?
5 -280 feet are equal to 1 mile.
1. change the percent to a fraction or decimal 2. multiply
That grouping does not matter a + (b+c) = (a+b) + c AND a (bc) = (ab) c (subtraction/division does not have the commutative property)
Volume = p
14. A straight angle measures?
Any number times 1 equals itself 3 X 1 = 3
180 degrees
1. change the percent to a fraction or decimal 2. multiply
In which order is significant. Remember Permutation and Position
15. How many faces - edges - and vertices does a hexagonal pyramid have?
7 faces 12 edges 7 vertices
Rise/run (rise over run)
Middle most value - is found by putting the members of a set into sequential order and selecting the middle value. If there is an even number of members - you find the median by averaging the two middle most values.
Have the same shape and size
16. What is an obtuse angle?
Irrational numbers are values that exist but the decimal does not terminate or have a repeating pattern (ex: square root of 2)
9 square feet equal 1 square yard.
P = 2L + 2W
An angle that is is larger than 90 degrees but less than 180 degrees.
17. Combinations are when you have...
Independent choices in which order does not matter
1. Put all terms on one side of the equal sign - leaving zero on the other side. 2. Factor. 3. Set each factor equal to zero. 4. Solve each of these equations. 5. Check by inserting your answer in the original equation.
Members/data that is consistently distributed
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
18. Combinations involve the arrangement of elements into groups...
Y=mx + b
Without regard to order.
One of the variables is squared.
Change starting point X 100 = percent change
19. What does the distributive property state?
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
16 ounces are in 1 pound.
Angles whose sum is 90 degrees.
Cartesian Coordinate System
20. What are integers?
x = 15/100 X 60 x = 90/10 x = 9
Members of the set tat are far outside the distribution of the rest of the set's members.
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
Integers are whole numbers and their opposites so...-3 - -2 - -1 - 0 - 1 - 2 - 3...
21. What are whole numbers?
Area =
M = slope b = y - intercept
Composite numbers can be divided by more than itself and the number 1. The first seven composite numbers are 4 - 6 - 8 - 9 - 10 - 12 - and 14.
Whole numbers are natural numbers and include 0.
22. How many ounces are in a pound?
16 ounces are in 1 pound.
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
18=x(90) 18/90 = x 1/5 = x 20% = x
1. Put all terms on one side of the equal sign - leaving zero on the other side. 2. Factor. 3. Set each factor equal to zero. 4. Solve each of these equations. 5. Check by inserting your answer in the original equation.
23. A ratio is
Total favorable outcomes (over/divided by) total possible outcomes
Sum of sides
The fixed relationship between two quantities
Angles whose sum is 90 degrees.
24. What are the steps to convert fraction to a percent?
Any number times 1 equals itself 3 X 1 = 3
1. multiply by 100 2. insert a percent sign 1/2 X 100 = 100/2 = 50%
Area = p
Sum of sides
25. What are real numbers?
1. Put all terms on one side of the equal sign - leaving zero on the other side. 2. Factor. 3. Set each factor equal to zero. 4. Solve each of these equations. 5. Check by inserting your answer in the original equation.
5 -280 feet are equal to 1 mile.
Sum of sides
Real numbers are all rational and irrational numbers.
26. Permutations involve an arrangement of elements...
Prime numbers are natural numbers that can only be divided by itself and the number 1. The first seven prime numbers are: 2 - 3 - 5 - 7 - 11 - 13 - and 17.
An obtuse angle
A right angle has a measure of 90 degrees.
In which order is significant. Remember Permutation and Position
27. How are the quadrants of the Cartesian Coordinate System laid out?
Change starting point X 100 = percent change
5 -280 feet are equal to 1 mile.
Straight lines
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
28. What are natural numbers?
Cartesian Coordinate System
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
Natural numbers are the numbers you would naturally count by...1 - 2 - 3...etc.
18=x(90) 18/90 = x 1/5 = x 20% = x
29. Bias occurs when
18=x(90) 18/90 = x 1/5 = x 20% = x
Survey samples are not truly random or representative
Slope = y2- y1 x2-x1 or y2 minus y1 OVER x2-x1
Any number times 1 equals itself 3 X 1 = 3
30. In addition to representing the order of operations - elements of PEMDAS grouping are also?
P = 2L + 2W
3/1
Algorithmic opposites
An obtuse angle
31. Two sources of bias are
1. sample is too limited 2. sample is skewed
Circumference = 2
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
P = 4(S)
32. An acute angle has a measure of?
M = slope b = y - intercept
An acute angel has a measure of less than 90 degrees.
Straight lines
x = 15/100 X 60 x = 90/10 x = 9
33. How to find probabilities?
The fixed relationship between two quantities
2 cups equals 1 pint.
16 ounces are in 1 pound.
Total favorable outcomes (over/divided by) total possible outcomes
34. Area of a square
35. What are supplementary angles?
Angles whose sum is 180 degrees.
Without regard to order.
Has all three of its sides of different lengths. The angles in a scalene triangle will all have different measures.
1. change the percent to a fraction or decimal 2. multiply
36. What do we use to find number of possible combinations?
180 degrees
The factorial function - which just means to multiply a series of descending natural numbers.
Outliers appear in the data.
An angle that is is larger than 90 degrees but less than 180 degrees.
37. Describe a scalene triangle.
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
Survey samples are not truly random or representative
Natural numbers are the numbers you would naturally count by...1 - 2 - 3...etc.
Has all three of its sides of different lengths. The angles in a scalene triangle will all have different measures.
38. What is the formula for percent change?
Change starting point X 100 = percent change
4 quarts are equal to 1 gallon.
Sum of sides
P = 2L + 2W
39. What is the y - intercept?
Slope = y2- y1 x2-x1 or y2 minus y1 OVER x2-x1
Straight lines
1. Put all terms on one side of the equal sign - leaving zero on the other side. 2. Factor. 3. Set each factor equal to zero. 4. Solve each of these equations. 5. Check by inserting your answer in the original equation.
The point at which a line intersects the y - axis.
40. The associative property of addition and multiplication state...
That grouping does not matter a + (b+c) = (a+b) + c AND a (bc) = (ab) c (subtraction/division does not have the commutative property)
Describes the relationship between two sets of data.
Area =
1. Put all terms on one side of the equal sign - leaving zero on the other side. 2. Factor. 3. Set each factor equal to zero. 4. Solve each of these equations. 5. Check by inserting your answer in the original equation.
41. What are rational numbers?
Integers are whole numbers and their opposites so...-3 - -2 - -1 - 0 - 1 - 2 - 3...
M = slope b = y - intercept
Rational numbers are values that can be expressed in fraction form (where the denominator does not = 0) and the decimal either repeats a pattern or terminates.
In which order is significant. Remember Permutation and Position
42. The identity property of multiplication tells us that
Has all three of its sides of different lengths. The angles in a scalene triangle will all have different measures.
One of the variables is squared.
Any number times 1 equals itself 3 X 1 = 3
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
43. A good survey sample should be...
Without regard to order.
1. multiply by 100 2. insert a percent sign 1/2 X 100 = 100/2 = 50%
1. random 2. representative
S2 or 'S squared'
44. Area of a parallelogram
Without regard to order.
(x+c)(x+d) = 0
That grouping does not matter a + (b+c) = (a+b) + c AND a (bc) = (ab) c (subtraction/division does not have the commutative property)
Area = b
45. Perimeter of a rectangle
P = 2L + 2W
Change starting point X 100 = percent change
Without regard to order.
Outliers appear in the data.
46. How many cups are in a pint?
Rise/run (rise over run)
Prime numbers are natural numbers that can only be divided by itself and the number 1. The first seven prime numbers are: 2 - 3 - 5 - 7 - 11 - 13 - and 17.
2 cups equals 1 pint.
Independent choices in which order does not matter
47. Mass is the measure of...
9 square feet equal 1 square yard.
The amount of matter that comprises an object
1. Put all terms on one side of the equal sign - leaving zero on the other side. 2. Factor. 3. Set each factor equal to zero. 4. Solve each of these equations. 5. Check by inserting your answer in the original equation.
That any number plus 0 equals itself 3 + 0 = 3
48. The multiplicative inverse property...
Rise/run (rise over run)
1/Z X Z
Tells us that any number times it multiplicative inverse equals 1. 4/5 X 5/4 = 1
That grouping does not matter a + (b+c) = (a+b) + c AND a (bc) = (ab) c (subtraction/division does not have the commutative property)
49. What are irrational numbers?
Irrational numbers are values that exist but the decimal does not terminate or have a repeating pattern (ex: square root of 2)
An angle that is is larger than 90 degrees but less than 180 degrees.
1. read it: 0.8 (eight - tenths) 2. write it: 8/10 3. reduce it: 4/5
Natural numbers are the numbers you would naturally count by...1 - 2 - 3...etc.
50. What are the steps to solve quadratic equations?
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
1. sample is too limited 2. sample is skewed
1. Put all terms on one side of the equal sign - leaving zero on the other side. 2. Factor. 3. Set each factor equal to zero. 4. Solve each of these equations. 5. Check by inserting your answer in the original equation.
That grouping does not matter a + (b+c) = (a+b) + c AND a (bc) = (ab) c (subtraction/division does not have the commutative property)