Font size
Worksheets3rd Quarter Mastery Test in Math 8 (Feb 22, 2021)
Total questions: 50
Worksheet time: 30mins
Which of the relations below is a function?
{(2, 3), (3, 4), (5, 1), (2, 4)}
{(2, 3), ( 3, 4), (6, 2), (3, 3)}
{(2, 3), (3, 4), (6, 2), (7, 3)}
{(2, 3), (3, 4), (2, 2), (7, 3)}
Given the relation A = {(5, 2), (7, 4), (9, 10), (x, 5)}. Which of the following values for x will make relation A a function?
9
8
7
4
The following relation is a function.
{(10, 12), (5, 3), (15, 10), (5, 6), (1, 0)}
True
False
Sometimes
Maybe
Which of the relations below is a function?
{(1, 1,), (2, 1), (3, 1), (4, 1), (5, 1)}
{(0, 2), (0, 3), (0, 4), (0, 5), (0, 6)}
{(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}
{(2, 1), (3, 2), (2, 3), (2, 4), (2, 5)}
The graph of a relation is shown at the right. Is this relation a function?
Yes
No
Sometimes
Cannot be determined from a graph
The graph of a relation is shown below. Is the relation a function?
Yes
No
Sometimes
Cannot be determined from a graph
Given f(x) = 3x + 7, find f(5).
42
25
22
21
Which graph represents a function?
A set of ordered pairs is called what?
the domain
a function
a relation
the range
What is the domain of a relation?
the set of all x-values
the set of all y-values
the set of all x values and y-values
the set of points
Which is the set of all y-values or the outputs?
Domain
Relation
Range
Function
What is the range of the mapping?
{1, 2, 4}
{1, 2, 3}
{5, 7, 9}
{1, 7, 9}
Which relation does the mapping show?
{(1, 5), (7, 1),(2, 7),(3, 9)}
{(1, 5), (1, 7),(2, 7),(3, 9)}
{(5, 1), (1, 7),(2, 7),(3, 9)}
{(5, 1), (7, 2),(2, 7),(3, 9)}
What is the range of the table?
{-7, -4, -2, -1, 2, 5}
{-7, -4, -1, 2, 5}
{-2, -1, 0, 1, 2,}
{-2, -1, 0, 1, 2, 3}
What is the domain of the relation shown in the table?
{(-7, -2, -1, 0, 1, )}
{(-2, -1, 0, 1, 2)}
{(2, -1, 0, 1, 2)}
{(-7, -4, -1, 2, 5)}
Evaluate f(x) = 3x - 4 at f(3)
2
5
7
13
Evaluate f(x) = -3x + 4 at f(-2)
-2
2
10
12
Evaluate f(x) = 1/3x - 4 at f(3)
6
5
3
-3
Evaluate f(x) = 6(x - 3) at f(-3)
0
-26
-36
36
Evaluate f(x) = -6x +8x at f(3)
-6
6
8
10
If f(x)=x+2 and g(x)=2x
If f(x) = x + 2 and g(x) = 2x what is (f + g) (x)?
2x + 2
3x + 2
-2x + 2
2x2 + 2
f(x)= x3 - 3x
g(x)= - 4x + 1
Find f(x) ⋅ g(x)
-4x3 -5x2 - 3
-4x4 + x3 + 12x2 - 3x
-4x3 + 2x2 - 3x
-4x4 - x3 + 12x2 + 3x
f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).
14x-10
2x+2
-8x+2
2x-2
f(x) = 4x+8
g(x) = x+3,
Find the product of f(x) and g(x)
4x2+24
4x2+12x+24
4x2+20x+24
4x2+4x+24
Given
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
11x2 - 1
5x2 + 6x - 1
5x4 + 6x2 - 1
5x2 + 8x - 1
f(x) = x2+9
g(x) = x-9
Find f(x) - g(x).
x2+x+9
x2 + x
x2-x+9
x2-x+18
When f(x) = x2 - 9
and g(x) = x + 3 ,
find f(x) / g(x).
x - 6
x + 3
x - 3
x + 6
Given f(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x))
-7x + 1
-5x -1
5x +1
5x - 1
f(x)= x2 - 1
g(x)= x - 1
Find (f(x)/g(x))
Then simplify using x = 10
9
11
90
110
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1,
find (f - g)(x).
x2 + 8x + 1
5x2 + 8x - 1
x2 + 6x - 1
x2 + 8x -1
f(x)=2x+4
g(x)=3x2-1
Find f(x)*g(x)
6x4+12x3-4x2-8x
6x3+12x2-2x-4
-6x3+12x2+2x-4
5x2-18x+20
f(x) = 3 and g(x) = -2x + 5
Find f(x) * g(x)
6x + 15
-6x + 15
6x - 15
6x - 8
p(x) = 3x + 4
q(x) = 2x2
Find p(q(x))
10x2
6x2 + 4
-6x2 + 4
18x2 + 4
g(x)=3x+4
h(x)=3x-1
Find g(h(x))
-9x+11
9x+1
4x2+4x
9x+11
f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))
-10
10
19
23
1. For some reason, in our Math class, there are 14 more boys than there are girls. If a total of 32 students are in the class, how many boys and how many girls are there?
(a)
1. Three coffees and two muffins cost a total of 7 dollars. Two coffees and four muffins cost a total of 8 dollars. What is the individual price for a single coffee and a single muffin?
(a)
What is it hypothesis in the statement:" If today is Tuesday, then we have school."?
Tomorrow is Wednesday.
Today is Tuesday.
We have school.
We do not have school.
What are the two parts of a conditional statement?
Hypothesis and Conclusion
Converse
conditional
biconditional
What is the negation of "x > 3"?
x = 3
x < 3
x ≤ 3
All of the above
Write the converse of
If 3x = 15, then x = 5.
If 3x = 15, then x = 5
If x = 5, then 2x = 10
If x =5, then 3x = 15
Rewrite the statement as a conditional statement.
"The sum of the angles of a triangle is 180."
If the sum of the angles of a triangle, then 180.
If a figure sums angles, then the triangle is 180.
If a figure is a triangle, then the sum of the angles is 180.
Write the converse of the following statement.
"If a figure is a triangle, then the angles add to 180.
If a figure is not a triangle, then the angles do not add to 180.
If a figure has angles that add to 180, then it is a triangle.
If the angles of a figure do not add to 180, then it is not a triangle.
Write the contrapositive of the following statement.
"If a figure is a triangle, then the angles add to 180.
If a figure is not a triangle, then the angles do not add to 180.
If a figure has angles that add to 180, then it is a triangle.
If the angles of a figure do not add to 180, then it is not a triangle.
Write the inverse of the following statement.
"If a figure is a triangle, then the angles add to 180.
If a figure is not a triangle, then the angles do not add to 180.
If a figure has angles that add to 180, then it is a triangle.
If the angles of a figure do not add to 180, then it is not a triangle.
Rewrite the statement as a conditional statement.
"All dolphins are mammals."
If a dolphin, then a mammal.
If an animal is a mammal, then it is a dolphin.
If an animal is a dolphin, then it is a mammal.
If an animal is not a mammal, then it is not a dolphin.
Original: If I have a Siberian Husky, then I have a dog.
What is this? If I have a dog, then I have a Siberian Husky.
Conditional
Inverse
Converse
Contrapositive
Original: If angles are congruent, then the measures of the angles are equal.
What is this? If angles are not congruent, then the measures of the angles are not equal.
Conditional
Inverse
Converse
biconditional
Original: If Jenny buys a guitar, then she will not buy a keyboard.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.
Converse
Contrapositive
Inverse
Negation
Original: The sky is not blue.
What is this statement: The sky is blue.
Converse
Contrapositive
Inverse
Negation
