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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. What are rational numbers?
Total favorable outcomes (over/divided by) total possible outcomes
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
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.
Area = p
2. Permutations involve an arrangement of elements...
In which order is significant. Remember Permutation and Position
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.
Area = b
Sum of sides
3. What are supplementary angles?
M = slope b = y - intercept
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.
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.
4. What are the steps to solve quadratic equations?
In which order is significant. Remember Permutation and Position
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.
One of the variables is squared.
Any number times 1 equals itself 3 X 1 = 3
5. What are composite numbers?
Slope = y2- y1 x2-x1 or y2 minus y1 OVER x2-x1
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.
S2 or 'S squared'
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.
6. What are integers?
Integers are whole numbers and their opposites so...-3 - -2 - -1 - 0 - 1 - 2 - 3...
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.
Total favorable outcomes (over/divided by) total possible outcomes
Volume = l
7. Circumference of a circle
Y=mx + b
Sum of sides
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.
Circumference = 2
8. Perimeter of a rectangle
18=x(90) 18/90 = x 1/5 = x 20% = x
P = 2L + 2W
1/Z X Z
3 feet is equal to 1 yard.
9. Quadrants are part of what 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.
Any number times 1 equals itself 3 X 1 = 3
Cartesian Coordinate System
7 faces 12 edges 7 vertices
10. Area of a rectangle
Comparing different quantities or when tracking change over time
Area = w
16 ounces are in 1 pound.
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.
11. Area of a parallelogram
Describes the relationship between two sets of data.
Area = b
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
An acute angel has a measure of less than 90 degrees.
12. How many cups are in a pint?
Natural numbers are the numbers you would naturally count by...1 - 2 - 3...etc.
Two possible answers
36 inches are equal to 1 yard.
2 cups equals 1 pint.
13. The identity property of addition tells us...
Algorithmic opposites
Whole numbers are natural numbers and include 0.
That any number plus 0 equals itself 3 + 0 = 3
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
14. Perimeter of a triangle
5 -280 feet are equal to 1 mile.
Sum of sides
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 pull of gravity on an object
15. What is the formula for percent change?
Order of operations: Parenthesis - roots & exponents - multiplication and division - addition and subtraction.
Change starting point X 100 = percent change
Rise/run (rise over run)
Sum of sides
16. Volume of a cylinder
Sum of sides
The pull of gravity on an object
Volume = p
2 cups equals 1 pint.
17. Area of a circle
5 -280 feet are equal to 1 mile.
Has all three of its sides of different lengths. The angles in a scalene triangle will all have different measures.
The pull of gravity on an object
Area = p
18. A ratio is
The fixed relationship between two quantities
Tracking trends or popularity.
Outliers appear in the data.
Survey samples are not truly random or representative
19. Weight is the measure of...
9 square feet equal 1 square yard.
Sum of sides
The pull of gravity on an object
The factorial function - which just means to multiply a series of descending natural numbers.
20. How would you write the expression: 18 is what percent of 90?
16 ounces are in 1 pound.
That grouping does not matter a + (b+c) = (a+b) + c AND a (bc) = (ab) c (subtraction/division does not have the commutative property)
18=x(90) 18/90 = x 1/5 = x 20% = x
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
21. A yard equals how many inches?
1. read it: 0.8 (eight - tenths) 2. write it: 8/10 3. reduce it: 4/5
Area = b
36 inches are equal to 1 yard.
The point at which a line intersects the y - axis.
22. Mean is a good measure for
Sum of sides
36 inches are equal to 1 yard.
4 quarts are equal to 1 gallon.
Members/data that is consistently distributed
23. The additive inverse property...
Curved lines
Tells us that any number times it multiplicative inverse equals 1. 4/5 X 5/4 = 1
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
(x+c)(x+d) = 0
24. Mode
Algorithmic opposites
In which order is significant. Remember Permutation and Position
1. divide the percent by 100 2. eliminate the percent sign 3. reduce if necessary 60% = 60/100 = 3/5
Member of a data set that occurs most frequently.
25. What is the y - intercept?
The point at which a line intersects the y - axis.
Area =
Without regard to order.
Has all three of its sides of different lengths. The angles in a scalene triangle will all have different measures.
26. Functions without an exponent generally produce...
Members/data that is consistently distributed
The amount of matter that comprises an object
The pull of gravity on an object
Straight lines
27. Area of a trapezoid
Area =
Flip the second fraction and then multiply.
A triangle with all sides of equal length and all angles are equal measure.
Area = p
28. Outliers
29. Mass is the measure of...
Describes the relationship between two sets of data.
The amount of matter that comprises an object
The factorial function - which just means to multiply a series of descending natural numbers.
2 pints are equal to 1 quart.
30. Two sources of bias are
1. sample is too limited 2. sample is skewed
Without regard to order.
Describes the relationship between two sets of data.
Members of the set tat are far outside the distribution of the rest of the set's members.
31. Mode is best used when
Tracking trends or popularity.
(x+c)(x+d) = 0
Curved lines
Total favorable outcomes (over/divided by) total possible outcomes
32. Mean
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
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.
Describes the relationship between two sets of data.
Sum of sides
33. Perimeter of a parallelogram
P = 2L + 2W
The pull of gravity on an object
Without regard to order.
Curved lines
34. What are the steps to convert a percent to a fraction?
Any number times 1 equals itself 3 X 1 = 3
5 -280 feet are equal to 1 mile.
Area = b
1. divide the percent by 100 2. eliminate the percent sign 3. reduce if necessary 60% = 60/100 = 3/5
35. Z with exponent of -2 also means
1/Z X Z
The point at which a line intersects the y - axis.
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
Sum of sides
36. Describe an isosceles triangle.
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
Or average - found by adding all the values of the members of a set - then dividing by the number of members.
Have the same shape but different size
The point at which a line intersects the y - axis.
37. What are natural numbers?
The pull of gravity on an object
M = slope b = y - intercept
Natural numbers are the numbers you would naturally count by...1 - 2 - 3...etc.
2 pints are equal to 1 quart.
38. What does the distributive property state?
Change starting point X 100 = percent change
Members of the set tat are far outside the distribution of the rest of the set's members.
That multiplication outside the parentheses distributing over either addition or subtraction inside parentheses does not affect the answer. a(b+c) = ab + ac
A right angle has a measure of 90 degrees.
39. Describe an equilateral triangle.
A triangle with all sides of equal length and all angles are equal measure.
Independent choices in which order does not matter
Tracking trends or popularity.
Quadrant one is located in the upper right section followed by quadrant II moving clockwise.
40. PEMDAS
Order of operations: Parenthesis - roots & exponents - multiplication and division - addition and subtraction.
P = 2L + 2W
1. divide the percent by 100 2. eliminate the percent sign 3. reduce if necessary 60% = 60/100 = 3/5
1. random 2. representative
41. Median is a good measure when
2 cups equals 1 pint.
5 -280 feet are equal to 1 mile.
Outliers appear in the data.
S2 or 'S squared'
42. Functions with an exponent generally produce...
Cartesian Coordinate System
2 pints are equal to 1 quart.
Curved lines
In which order is significant. Remember Permutation and Position
43. Perimeter of a trapezoid
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
2 cups equals 1 pint.
Sum of sides
Algorithmic opposites
44. How many feet equal 1 mile?
5 -280 feet are equal to 1 mile.
180 degrees
Area = w
Member of a data set that occurs most frequently.
45. How many square feet are equal to a yard?
The point at which a line intersects the y - axis.
9 square feet equal 1 square yard.
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.
That order does not matter a + b = b + a AND ab = ba (subtraction/division do not have the commutative property)
46. What is slope formula?
Slope = y2- y1 x2-x1 or y2 minus y1 OVER x2-x1
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
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.
Tells us that any number plus its additive inverse equals 0. 1 + (-1) = 0
47. Two or more objects are congruent if they...
A triangle with two - possibly all three of its sides of equal length. The angles opposite the equal sides have equal measure.
Have the same shape and size
Circumference = 2
An obtuse angle
48. What are real numbers?
M = slope b = y - intercept
2 pints are equal to 1 quart.
An obtuse angle
Real numbers are all rational and irrational numbers.
49. What are whole numbers?
1. sample is too limited 2. sample is skewed
Whole numbers are natural numbers and include 0.
Irrational numbers are values that exist but the decimal does not terminate or have a repeating pattern (ex: square root of 2)
Members of the set tat are far outside the distribution of the rest of the set's members.
50. Slope - Intercept Form
Area = b
The pull of gravity on an object
Irrational numbers are values that exist but the decimal does not terminate or have a repeating pattern (ex: square root of 2)
Y=mx + b