MA120-01 - Finite Mathematics & Linear Modeling

practice test

Tell whether the statement is true or false. If false, give the reason.

11 {22, 33, 44, 55, 66}

False; 11 is not an element of the set

True

False; 11 is a factor of the elements.

False; 11 is a set

Use inductive reasoning to predict the next line in the pattern.

3 x 3 = 9

33 x33 = 1089

333 x333 = 110,889

3333 x 3333 = 11,108,889

3333 x3333 = 111,889

333 x 3333 = 11,108,889

3333 x3333 = 112,889

Express the set in roster form.

{x|x is an integer between -2 and 2}

{-2, -1, 0, 1, 2}

{-2, -1, 0, 1}

{-1, 0, 1}

{-1, 0, 1, 2}

Write the set in set-builder notation.

{48, 54, 60, 66,..., 108}

{x | x is a multiple of 6 between 48 and 108}

{x | x is a multiple of 6 between 42 and 114}

{x | x is a multiple of 6 greater than 48}

{x | x is a multiple of 6}

Let p represent the statement,Jim plays football, and let q representMichael plays basketball. Convert the compound statements into symbols.

Neither Jim plays football nor Michael plays basketball.

~(p q)

~(p q)

p ~q

~p q

Indicate whether the statement is a simple or a compound statement. If it is a compound statement, indicate whether it is a negation, conjunction, disjunction, conditional, or biconditional by using both the word and its appropriate symbol.

The animal is a mammal if and only if it nurses its young.

Compound; conditional;

Compound; negation; ~

Compound; biconditional;

Compound; disjunction;

Indicate whether the statement is a simple or a compound statement. If it is a compound statement, indicate whether it is a negation, conjunction, disjunction, conditional, or biconditional by using both the word and its appropriate symbol.

The apartment is rented or it is available.

Compound; disjunction;

Compound; conjunction;

Compound; biconditional;

Compound; conditional;

Write a negation of the statement.

Everyone is asleep.

None are asleep.

Everyone is not asleep.

Everyone is awake.

Not everyone is asleep.

Let p represent the statement,Jim plays football, and let q representMichael plays basketball. Convert the compound statements into symbols.

Neither Jim plays football nor Michael plays basketball.

~(p q)

~(p q)

p ~q

~p q

Write the compound statement in symbols.

Let r =The food is good,

p =I eat too much,

q =Ill exercise.

If I exercise, then I wont eat too much.

~(p q)

r p

p q

q ~p

Convert the compound statement into words.

p =Babies eat bananas.

q =Babies wear plastic bibs.

p q

Babies eat bananas and babies wear plastic bibs.

Babies eat bananas or babies do not wear plastic bibs.

Babies eat bananas or babies wear plastic bibs.

Babies wear plastic bibs and babies eat bananas.

Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement.

~[(~p q) r]

True

False

Determine the truth value for the simple statement. Then use these truth values to determine the truth value of the compound statement.

9 + 8 = 20 - 3 and 36 3 = 6 + 2

True

False

Given p is true, q is true, and r is false, find the truth value of the statement.

(~p q) ~r

True

False

Use DeMorgans laws or a truth table to determine whether the two statements are equivalent.

~(p q) , ~p ~q

Equivalent

Not equivalent

Use truth tables to test the validity of the argument.

p q

~(p q)

~q

Valid

Invalid

Determine the truth value for the simple statement. Then use these truth values to determine the truth value of the compound statement.

9 + 8 = 20 - 3 and 36 3 = 6 + 2

True

false