1. what are the factors in the expression x(y + 2)?
a) x and y
b) x and 2
c) x and y + 2
d) none of the above
2. which algebraic property does the expression 12 + 0 = 12 represent?
a) additive identity
b) additive inverse
c) addition property of equality
d) associative property of addition
3. if x = 10, what algebraic property does 5x = 5 • 10 represent?
a) multiplicative identity
b) multiplicative inverse
c) multiplication property of equality
d) associative property of multiplication
4. to which subset of real numbers does 0 belong? (select all that apply.)
a. integers
b. irrational numbers
c. natural numbers
d. rational numbers
e. whole numbers
5. what is the algebraic expression for the word phrase “6 times the difference of g and 3”?
a) 6g – 3
b) 6(g – 3)
c) 3 – 6g
d) 6(3 – g)
6. simplify 7 • 8 – 9 + 36 ÷ 3
a) 45
b) 47
c) 57
d) 59
7. a gym membership has an enrollment fee of $50 and costs $35 each month. which expression represents the cost of the gym membership for m months?
a) 35 + 50m = c
b) 35 + 50m
c) 50 + 35m
d) 50 + 35m = c
8. james owes his mom $47. he earned $26 for mowing his neighbor’s lawn and then lent his sister $13. which expression represents james’s financial situation? a) –47 – 26 – 13
b) –47 + 26 – 13
c) 47 – 26 + 13
d) 47 + 26 + 13
9. to which subset of real numbers does -13 belong? (select all that apply.)
integers
a. irrational numbers
b. natural numbers
c. rational numbers
d. whole numbers
10. part 1: provide your own unique example of the commutative property of multiplication.
part 2: provide your own unique example of the symmetric property of equality. note: an example is not the same as a definition.
11. part 1: create your own expression that can be simplified using the order of operations. your expression must include at least three different operations.
part 2: simplify your expression. you must show your work to receive credit.