Complete Solution Manual A Problem Solving Approach to Mathematics for Elementary School Teachers 13th Edition Questions & Answers with rationales

TESTBANK
n

,MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
n n n n n n n n n n n n n n




Determine whether the following is a statement. If it is, then also classify the statement as true or false.
n n n n n n n n n n n n n n n n n n




1) Why don't you come here? n n n n




A) Not a statement B) False statement n C) True statement
n n n n n




n Answer: A n




2) This room is big. n n n




A) True statement n B) Not a statement
n n n C) False statement
n n




n Answer: B n




3) 5 - 1 =4n n n n




A) True statement n B) Not a statement
n n n C) False statement
n n




n Answer: A n




4) 7x + y = 3 n n n n




A) False statement n B) True statement
n n C) Not a statement
n n n




n Answer: C n




5) Can you bring the book?
n n n n




A) True statement n B) Not a statement
n n n C) False statement
n n




n Answer: B n




6) x + y = x - y, where y = 0
n n n n n n n n n n




A) False statement n B) True statement
n n C) Not a statement
n n n




n Answer: B n




7) 12 = 3y n n




A) Not a statement n n B) False statement
n n C) True statement
n n




n Answer: A n




8) 2.4 = 5.2 n n




A) False statement n B) Not a statement
n n n C) True statement
n n




n Answer: A n




9) The state of California is in North America.
n n n n n n n




A) Not a statement B) False statement n n n n C) True statement
n n




n Answer: C n




10) Brazil is in Asia. n n n




A) True statement n B) Not a statement
n n n C) False statement
n n




n Answer: C n




Use a quantifier to make the following true or false, as indicated, where x is a natural number.
n n n n n n n n n n n n n n n n n




11) x + x = 6 (make true)
n n n n n n




A) There is no natural number x such that x + x = 6. n n n n n n n n n n n n




B) For all natural numbers x, x + x = 6. n n n n n n n n n




C) There exists a natural number x such that x + x = 6. n n n n n n n n n n n n




D) For every natural number x, x + x = 6. n n n n n n n n n




Answer: C n

, 12) x3 = 8 n
n n n (make true) n




A) No natural number x exists such that x3 = 8. n n n n n n n
n
n




B) Every natural number x satisfies x3 = 8. n n n n n
n
n




C) There exists a natural number x such that x3 = 8. n n n n n n n n
n
n




D) Three natural numbers x exist such that x3 = 8. n n n n n n n
n
n




n Answer: C n




13) 2x + 1 = 5 - x (make true)
n n n n n n n n




A) No natural number x exists such that 2x + 1 = 5 - x. n n n n n n n n n n n n n




B) There exists a natural number x such that 2x + 1 = 5 - x. n n n n n n n n n n n n n n




C) Only two natural numbers x exist such that 2x + 1 = 5 - x. n n n n n n n n n n n n n n




D) For every natural number x, 2x + 1 = 5 - x. n n n n n n n n n n n




n Answer: B n




14) 12x = 5x + 7x (make false)
n n n n n n




A) For every natural number x, 12x = 5x + 7x. n n n n n n n n n




B) There is no natural number x such that 12x = 5x + 7x. n n n n n n n n n n n n




C) More than one natural number x exists such that 12x = 5x + 7x. n n n n n n n n n n n n n




D) There exists a natural number x such that 12x = 5x + 7x. n n n n n n n n n n n n




n Answer: B n




15) x - 13 = 13 - x (make false)
n n n n n n n n




A) For x = 13, x - 13 = 13 - x. n n n n n n n n n n




B) There exists a natural number x such that x - 13 = 13 - x. n n n n n n n n n n n n n n




C) At least one natural number x exists such that x - 13 = 13 - x.
n n n n n n n n n n n n n n n




D) There is no natural number x such that x - 13 = 13 - x. n n n n n n n n n n n n n n




n Answer: D n




16) 4x = 7x (make false)
n n n n n




A) There is no natural number x such that 4x = 7x. n n n n n n n n n n




B) For every natural number x, 4x = 7x. n n n n n n n




C) No natural number x satisfies 4x = 7x. n n n n n n n




n Answer: B n




Write the statement indicated.
n n n




17) Write the negation of the following: n n n n n




The test is difficult.
n n n n




A) The test is not difficult. n n n n B) The test is not very easy.
n n n n n n




C) The test is very difficult. n n n n n D) The test is not easy.
n n n n n




n Answer: A n




18) Write the negation of the following: 8n n n n n n




+ 2 = 10
n n n n




A) 8 + 2 = 12 n n n n B) 8 + 2 = 2 + 8
n n n n n n n




C) The sum of 8 and 2 is ten. n n n n n n n n D) 8 + 2 ≠ 10
n n n n n




Answer: D n

, SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
n n n n n n n n n n n n n n n




Provide an appropriate response.
n n n




19) Negate the following: The store is sometimes open on Sunday.
n n n n n n n n n




n Answer: The store is never open on Sunday. n n n n n n n




MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
n n n n n n n n n n n n n n




Construct a truth table for the statement.
n n n n n n n




20) ~p ∧ ~s n n




A) p s (~p ∧ ~s) n n B) p s (~p ∧ ~s)
n n n n n n C) p n s (~p ∧ ~s) n n D) p
n n n s (~p ∧ ~s)
n n n




T T T T T F T T F T T F
T F F T F F T F F T F T
F T F F T F F T F F T T
F F T F F F F F T F F T
Answer: C n




21) s ∨ ~(r ∧ p)
n n n n




A) s n r p s ∨ ~(r ∧ p)n n n n B) s n r p s ∨ ~(r ∧ p)
n n n n




T T T T T T T T
T T F T T T F T
T F T T T F T T
T F F T T F F T
F T T F F T T F
F T F T F T F T
F F T T F F T T
F F F F F F F T
Answer: B

22) (p ∧ ~q) n n n ∧ n t
A) p n q t (p ∧ ~q) n n n ∧ B) p n q t (p ∧ ~q)n n n ∧ n t
T T T F T T T F
T T F F T T F F
T F T F T F T T
T F F F T F F F
F T T F F T T F
F T F T F T F F
F F T T F F T F
F F F T F F F F
Answer: B n