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WorksheetsSummative Test Quarter 2- Pasteur
Total questions: 40
Worksheet time: 1hrs 20mins
Which of the following denotes a linear inequality in two variables?
4a-3b=5
7c+4<12
11 +2t≥3s
What is graph of a linear inequality in two variables?
Half-plane
Parabola
Straight line
Half of a parabola
The difference between the scores of Wennie and Mickey in the test is not more than 6 points. Suppose Wennie’s score is 32 points, what could be the possible score of Mickey?
20
30
40
50
Which statement illustrates a linear inequality in two variables?
I. The tricycle has a maximum seating capacity of 6 persons
II. The expenses for food are greater than the expenses for clothing.
III. The number of apples more than thrice the number of oranges is greater than 25.
I only
I and II only
II and III only
I and III only
Five times the length of a ruler (r) increased by 2-inches is less than the height of Daniel (h), which mathematical statement represents the situation?
5r + 2 < h
5r + 2 > h
5r + 2 ≤h
5r + 2≥h
Which among the inequalities represents this situation: A man travel a number of kilometers by car and 3 times as far by plane. He covered more than 2000 km.
k + 3k > 2000
k – 3k > 2000
k + 3k < 2000
k – 3k < 2000
Karen is buying Math 7 & 8 books for her not less than 3 children. Each Math 7 book costs P50.00 while Math 8 book costs P75.00. How many Math 7 & 8 Books can she buy if her money is not more than P200.00?
0 ≤ x ≤ 1 & 0 ≤ y ≤ 1
0 ≤ x ≤ 1 & 0 ≤ y ≤ 2
0 ≤ x ≤ 2 & 0 ≤ y ≤ 2
0 ≤ x ≤ 2 & 0 ≤ y ≤ 1
You are to buy boxes of fruits. Oranges cost P500.00 per box and grapes costs P1500.00 per box. You need to buy at least 10 boxes in all. What is the maximum number of boxes of oranges and grapes can you buy if you can only spend no more than P7,000.00?
Oranges = 8 and grapes = 2
Oranges = 9 and grapes = 1
Oranges = 9 and grapes = 2
Oranges = 10 and grapes = 1
Boy plans to spend at most P2,000 for shirts and pants. He bought 3 shirts at P 400 each. How much can he spend for pants?
m < 800
m > 800
m ≤ 800
m ≥ 800
Which statement is correctly describing the relation of the monthly electric current usage and the amount of the electric bill?
electric current usage in a month is independent variable because it controls the amount of the electric bill
electric current usage in a month is dependent variable because it depends on the amount of electric bill
amount of electric bill is independent variable because it controls the electric current usage in a month
amount of electric bill is dependent variable because it controls on the electric current usage in a month
In a relation described by a rule x = 2y – 1, which number is the y-value if x = 3?
2
3
4
5
Which of the following ordered pair can be the fourth so that the relation {(5, 6), (6, 7), (7, 8), ___} is not a function?
(7, 9)
(9, 10)
(8, 9)
(-1, 2)
The one factor that a scientist changes during an experiment. (It affects the results of the experiment).
Controlled Variable
Dependent Variable
Independent Variable
Cindy wanted to find out how the amount of sunlight affects the growth of plants. She placed two tomato plants in 10 inch pots with potting soil and watered them ¼ cup each day. One plant was placed under a cardboard box and one was placed in the sunlight. She measured the growth of the plant each week for three weeks.
What is the dependent variable?
Using the same type of plant
Each plant was placed in a 10 inch pot
The growth of the plant
One plant is in the sunlight and the other is under a box
What is the 𝑦-intercept of the function 3x+2y=4?
-2
0
2
4
Which of the following is a linear function?
y = 2x3 + 3
y=7x
y = 4x 2 + 1
y=10
The cost of producing x welding tools by a company is given by C(x) = 1200x + 5500 (in ₽). What is the cost of 100 tools?
₽ 100,000
₽105,000
₽125,500
₽150,000
The three sides of a triangle are consecutive even numbers. What is the length of the longest side if the perimeter is 96?
30
32
34
36
As x increases in the equation 5x + y = 7, then what will happen to the value of y?
increases
decreases
does not change
cannot be determined
A car travels at a uniform speed. It covers a distance of 60km in an hour, a distance of 120km in 2 hours, and 180km in 3hours. How far can it travel in 4 hours?
210 km
240 km
260 km
280 km
What is an IF-THEN statement called?
An if-then statement is a conditional statement with a conclusion followed by a hypothesis.
An if-then statement is a conditional statement with a hypothesis followed by a conclusion.
An if-then statement is a conditional statement with hypothesis only.
An if-then statement is a conditional statement with conclusion only.
If garbage is disposed properly then dengue diseases will be prevented. What is the underlined portion called in the conditional statement?
the conclusion
the argument
the hypothesis
the converse
What must be the if-then-form of the conditional statement; “It is time for dinner if it is 6 pm.”?
If it is dinner, then it is dinner
If it is time for dinner, then it is 6 pm.
If it is 6 pm, then it is time for dinner
If you want to eat dinner, then you must eat at 6 pm.
What is the IF-THEN form of the statement: "Parallel lines never intersect”?
If two lines intersect, then they are parallel.
if two lines are not parallel then they intersect.
If two lines intersect, then they are not parallel.
If two lines are parallel, then they never intersect.
What is the conditional form of the statement; "Today is Wednesday and tomorrow is Thursday”?
If tomorrow is Thursday, then today is Wednesday.
If today is Wednesday, then tomorrow is Thursday.
If today is not Wednesday, then tomorrow is not Thursday.
If tomorrow is not Thursday, then today is not Wednesday.
What statement is formed when hypothesis and conclusion are interchanged?
Inverse
Converse
Contrapositive
Conditional
What do you call a statement that is formed by negating both the hypothesis and conclusion of a conditional statement?
Inverse
Converse
Contrapositive
Biconditional
What is the contrapositive of the statement “If a number is an integer, then it is rational”?
If a number is rational, then it is an integer.
If a number is an integer, then it is NOT rational.
If a number is NOT integer, then it is NOT rational
If a number is NOT rational, then it is NOT an integer.
If you do not do your homework, then you will fail geometry. What converse statement suits the given?
If you pass geometry, then you did your homework.
If you do your homework, then you will pass geometry.
If you fail geometry, then you did not do your homework.
If you pass geometry, then you did not do your homework
What does it mean for two statements to be logically equivalent?
Both state Value
Both show similar truth value
Both state similar sentences
Both show equal statements
Which statement has the same truth value of a converse statement?
conditional
inverse
contrapositive
none of the choices
When conditional statement be considered false?
p is false and q is true
p is false and q is false
p is true and q is false
both p and q are true
“If a figure is not a square, then it is not a quadrilateral.” Which one shows the same truth value in the above equivalent statement?
If a figure is a square, then it is a quadrilateral.
If a figure is a quadrilateral, then it is a square.
If a figure is not a quadrilateral, then it is not a square.
If a figure is not a square, then it is not quadrilateral.
What conclusion can you deduce in the following statement: If a figure is quadrilateral, then it has four sides. A trapezoid has four sides, then ____________.
it is a polygon
it is a quadrilateral
it has a pair of parallel sides
its opposite sides are congruent
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
If the sun is shining, then it is a beautiful day.
If it is a beautiful day, then we will have a picnic.
A proof that can be used when there are only two possibilities; if one possibility is false, the other must be true.
direct proof
indirect proof
conclusion
An example that shows a statement is false:
hypothesis
conclusion
counterexample
