MIDTERM GED 102

Which of the following is the correct mathematical translation for an expression; “the square of the sum of the square of two numbers”?

• (a + b)²

• (a² + b² )²

• a² + b²

• 2(a + b)²

Which of the following is the correct translation to an English expression for a mathematical expression; x³ + y³?

• The sum of two numbers

• The cube of the sum of two numbers

• The sum of the cube of two numbers

• Two numbers raised to the third power

Given a function C(t) = 2t³ – 3t whose domain is {0, 2, 4,}, what is its range?

• {0, 10, 116}

• {0, -10, -116}

• {2, 12, 24}

• {-2, -12, -24}

• None of these

Acute angles in a right triangle is complementary. This is an example of?

• Conjecture

• Lemma

• Theorem

• Corollary

It is a process of using examples and observations to reach a conclusion.

• Inductive reasoning

• Deductive reasoning

• Direct Proof

• Indirect Proof

It is a sequence of statements that undergo a rigorous method of proving whose last statement is the conclusion to be proved from the previous statement.

• Inductive reasoning

• Deductive reasoning

• Direct Proof

• Indirect Proof

A case that satisfies the conditions of a conjecture but produces a different result.

• Counterexample

• Conjecture

• Induction

• Deduction

What type of reasoning is this?

All my family members uses money. John is a member of my family. Therefore, John uses money.

• Deductive

• Inductive

What type of reasoning is this?

My father and mother uses money. My sister and brother uses money. Therefore, all my family members uses money.

• Deductive

• Inductive

In induction reasoning, the conclusion is only probable.

• True

• False