Ch 2: Algebraic reasoning

Question 1

Addition property of equality

Answer 1

If a=b, then a + c = b+c

Question 2

Subtraction poe

Answer 2

If a = b, then a - c = b-c

Question 3

Multiplication poe

Answer 3

If a = b, then a × c = b × c

Question 4

Division poe

Answer 4

If a = b, then a/c = b/c

Question 5

Substitution poe

Answer 5

If a = b, then a can be substituted for b ( or b for a) in any eq. Or expression.

Question 6

Distributive property

Answer 6

Let a,b and c be real numbers
Sum: a (b+c) = ab +ac
Difference: a(b-c) = ab -ac

Question 7

Addition poe

Answer 7

If you add the same number to both sides of an equation, the equation remains balanced and is still true

Question 8

Subtraction poe

Answer 8

If you subtract the same numbers from both sides of an equation, the eq remains balanced and true

Question 9

Multiplication poen

Answer 9

If you multiply both sides of an equation by the same number, the resulting eq is equal

Question 10

Division poe

Answer 10

If you divide both sides of an equation by the same number then the remaining eq is true

Question 11

Substitution poe

Answer 11

If two eq. Are equal, then one can be substituted for the other in any eq.

Question 12

Reflexive property

Answer 12

anything is equal to itself a = a

Question 13

Symmetric property

Answer 13

If a = b, then b=a

Question 14

Transitive property

Answer 14

If a = b and b = c, then a = c