Algebra II
Number Theory and Solving Equations HW
1) If m + n = m, what is the value of n?
2) If m + n = 0, what is the value of n? What is n called with respect to m?
3) If mn = 1, what is the value of n? What is n called with respect to m?
4) If mn = m, what is the value of n?
5) What is the additive and multiplicative inverses of
Additive: ________
?
Multiplicative: ________
6) What is the additive and multiplicative inverses of
Additive: ________
?
Multiplicative: ________
Determine whether each statement is true or false. If false, give a counterexample.
7) Every whole number is an integer.
8) Every integer is a whole number.
9) Every real number is irrational.
10) Every integer is a rational number.
The product of any two whole numbers is always a whole number. So, the set of whole numbers is said
to be CLOSED under multiplication. This is an example of the Closure Property. State whether each
statement is true or false. If false, give a counterexample.
11) The set of integer is closed under multiplication.
12) The set of whole numbers is closed under subtraction.
13) The set of rational numbers is closed under addition.
14) The set of whole numbers is closed under division.
15) Solve for x: 14 – 3n = -10
17) Simplify:
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16) Solve for x: 3(2x + 25) – 2(x – 1) = 78
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