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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
.
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. What is the y - intercept?
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
Angles whose sum is 180 degrees.
The point at which a line intersects the y - axis.
An obtuse angle
2. Area of a triangle
Member of a data set that occurs most frequently.
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
Area =
The factorial function - which just means to multiply a series of descending natural numbers.
3. An acute angle has a measure of?
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
Comparing different quantities or when tracking change over time
An acute angel has a measure of less than 90 degrees.
The amount of matter that comprises an object
4. The sum of a triangle always measures?
180 degrees
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
Rise/run (rise over run)
The fixed relationship between two quantities
5. Mean
Have the same shape but different size
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
M = slope b = y - intercept
One of the variables is squared.
6. Median is a good measure when
An obtuse angle
Area = w
A triangle with all sides of equal length and all angles are equal measure.
Outliers appear in the data.
7. The commutative 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)
Cartesian Coordinate System
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
8. What are prime numbers?
x = 15/100 X 60 x = 90/10 x = 9
Cartesian Coordinate System
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.
The fixed relationship between two quantities
9. Perimeter of a trapezoid
Two possible answers
Sum of sides
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
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.
10. What are integers?
Integers are whole numbers and their opposites so...-3 - -2 - -1 - 0 - 1 - 2 - 3...
(x+c)(x+d) = 0
Area = p
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
11. Volume of a box
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
The pull of gravity on an object
Volume = l
That any number plus 0 equals itself 3 + 0 = 3
12. Mass is the measure of...
The amount of matter that comprises an object
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
1/Z X Z
An obtuse angle
13. What is an obtuse angle?
Volume = p
Rise/run (rise over run)
x = 15/100 X 60 x = 90/10 x = 9
An angle that is is larger than 90 degrees but less than 180 degrees.
14. What are real numbers?
The pull of gravity on an object
Total favorable outcomes (over/divided by) total possible outcomes
Real numbers are all rational and irrational numbers.
Independent choices in which order does not matter
15. An angle that is is larger than 90 degrees but less than 180 degrees is?
36 inches are equal to 1 yard.
(x+c)(x+d) = 0
1. read it: 0.8 (eight - tenths) 2. write it: 8/10 3. reduce it: 4/5
An obtuse angle
16. Two or more objects are similar if they...
The fixed relationship between two quantities
Straight lines
Have the same shape but different size
Slope = y2- y1 x2-x1 or y2 minus y1 OVER x2-x1
17. What is slope?
Rise/run (rise over run)
Tracking trends or popularity.
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
Parabola
18. Perimeter of a rectangle
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...
3 feet is equal to 1 yard.
P = 2L + 2W
19. How do you determine the percent of a number?
P = 4(S)
The fixed relationship between two quantities
1. change the percent to a fraction or decimal 2. multiply
Rise/run (rise over run)
20. What shape is produced when one of the variables in an equation is squared?
Members of the set tat are far outside the distribution of the rest of the set's members.
Parabola
18=x(90) 18/90 = x 1/5 = x 20% = x
Angles whose sum is 180 degrees.
21. How many square feet are equal to a yard?
The amount of matter that comprises an object
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
9 square feet equal 1 square yard.
Area = b
22. PEMDAS
Cartesian Coordinate System
A right angle has a measure of 90 degrees.
Order of operations: Parenthesis - roots & exponents - multiplication and division - addition and subtraction.
Have the same shape but different size
23. A yard equals how many feet?
Has all three of its sides of different lengths. The angles in a scalene triangle will all have different measures.
3 feet is equal to 1 yard.
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
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.
24. How would we write the rise/run if the slope of line AB is -3?
P = 2L + 2W
Rise/run (rise over run)
3/1
Slope = y2- y1 x2-x1 or y2 minus y1 OVER x2-x1
25. The additive inverse property...
Any number times 1 equals itself 3 X 1 = 3
3 feet is equal to 1 yard.
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
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.
26. 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)
Have the same shape and size
P = 2L + 2W
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
27. When we have a quadratic equation in the form of x2+ax+b = 0 we can often find the possible solutions through factoring the equation into the form...
(x+c)(x+d) = 0
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.
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.
28. Combinations are when you have...
Comparing different quantities or when tracking change over time
1. change the percent to a fraction or decimal 2. multiply
Independent choices in which order does not matter
1. random 2. representative
29. A good survey sample should be...
1. random 2. representative
Describes the relationship between two sets of data.
180 degrees
Have the same shape but different size
30. How many ounces are in a pound?
16 ounces are in 1 pound.
An obtuse angle
Members of the set tat are far outside the distribution of the rest of the set's members.
Have the same shape and size
31. Bias occurs when
18=x(90) 18/90 = x 1/5 = x 20% = x
Real numbers are all rational and irrational numbers.
Survey samples are not truly random or representative
Total favorable outcomes (over/divided by) total possible outcomes
32. In addition to representing the order of operations - elements of PEMDAS grouping are also?
A right angle has a measure of 90 degrees.
S2 or 'S squared'
Circumference = 2
Algorithmic opposites
33. Permutations involve an arrangement of elements...
In which order is significant. Remember Permutation and Position
Real numbers are all rational and irrational numbers.
3 feet is equal to 1 yard.
An angle that is is larger than 90 degrees but less than 180 degrees.
34. In slope - intercept form what is 'm' and what is 'b?'
Sum of sides
M = slope b = y - intercept
Area = b
1. multiply by 100 2. insert a percent sign 1/2 X 100 = 100/2 = 50%
35. What are the steps to solve quadratic equations?
S2 or 'S squared'
Natural numbers are the numbers you would naturally count by...1 - 2 - 3...etc.
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.
36. What are the steps to convert a percent to a fraction?
180 degrees
1. divide the percent by 100 2. eliminate the percent sign 3. reduce if necessary 60% = 60/100 = 3/5
7 faces 12 edges 7 vertices
1. read it: 0.8 (eight - tenths) 2. write it: 8/10 3. reduce it: 4/5
37. Mode
Member of a data set that occurs most frequently.
2 cups equals 1 pint.
16 ounces are in 1 pound.
Area =
38. Z with exponent of -2 also means
Angles whose sum is 180 degrees.
S2 or 'S squared'
Area =
1/Z X Z
39. How to find probabilities?
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.
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
Area = p
Total favorable outcomes (over/divided by) total possible outcomes
40. How many faces - edges - and vertices does a hexagonal pyramid have?
7 faces 12 edges 7 vertices
Real numbers are all rational and irrational numbers.
Members/data that is consistently distributed
Flip the second fraction and then multiply.
41. A function...
Describes the relationship between two sets of data.
Have the same shape but different size
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
7 faces 12 edges 7 vertices
42. A quadratic equation is an equation in which...
3 feet is equal to 1 yard.
One of the variables is squared.
1. multiply by 100 2. insert a percent sign 1/2 X 100 = 100/2 = 50%
9 square feet equal 1 square yard.
43. How are the quadrants of the Cartesian Coordinate System laid out?
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
Members/data that is consistently distributed
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
44. What are the steps to convert decimals to fractions?
1. read it: 0.8 (eight - tenths) 2. write it: 8/10 3. reduce it: 4/5
Tracking trends or popularity.
Angles whose sum is 90 degrees.
P = 2L + 2W
45. Area of a circle
Irrational numbers are values that exist but the decimal does not terminate or have a repeating pattern (ex: square root of 2)
36 inches are equal to 1 yard.
Area = p
One of the variables is squared.
46. How would you write the expression: what is 15% of 60?
Area = b
An obtuse angle
x = 15/100 X 60 x = 90/10 x = 9
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
47. Circumference of a circle
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.
180 degrees
Real numbers are all rational and irrational numbers.
Circumference = 2
48. Functions without an exponent generally produce...
Volume = p
Straight lines
The pull of gravity on an object
The factorial function - which just means to multiply a series of descending natural numbers.
49. Combinations involve the arrangement of elements into groups...
2 cups equals 1 pint.
Survey samples are not truly random or representative
Without regard to order.
One of the variables is squared.
50. What are supplementary angles?
Volume = p
M = slope b = y - intercept
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.
Angles whose sum is 180 degrees.