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