Logical Reasoning
An If-Then Statement
What is a Conditional Statement?
x + 2 = 6
What is x = 4?
3x + 2 = 8
What is x = 2?
5h + 2 + 2h = 23
what is h = 3?
Find two consecutive even integers whose sum is 194.
What are 96 and 98?
the phrase after the word "if"
What is the hypothesis?
x - 9 = 12
What is x = 21
-6x - 6 = 30
What is x = -6?
2(x + 5) = 14
What is x = 2?
Find three consecutive even integers whose sum is 36.
What are 10, 12, 14?
the phrase after the word "then"
What is the conclusion?
5x = 30
(x/2) + 9 = 20
What is x = 22?
3a + 12 - 6a = -9
What is a = 7?
Find three consecutive odd integers whose sum is -15.
What are -7, -5, -3?
What is the hypothesis in this statement?
If the students get this question wrong, then Mrs. Galvez will throw a desk.
The students get this question wrong.
x / 2 = 10
What is x = 20
-x - 12 = 24
What is x = -36?
-2(x - 9) = -24
What is x = 21?
Find three consecutive integers whose sum is 96.
What are 31, 32, 33?
Put the following into a conditional statement:
I am going to study for the next test so that Mrs. Galvez will like me more.
If I study for the next test, then Mrs. Galvez will like me more.
x / -12 = -3
What is x = 36?
-10x + 75 = 35
What is x = -4?
78 = 3c + 12 - c + 4
What is c = 31?
Find three consecutive integers whose sum is 336.
What are 111, 112, 113