Evaluate each expression if m = 6 and n = 12.
2m + 5
What is 17
100
twelve fewer questions than were on the first test
Let q represent the number of questions on the first test; q – 12
100
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
2 • (3 • 7) and (2 • 3) • 7
yes; Associative Property
100
6(n + 4)
6n + 24
200
There are 24 students in a science class. Mr. Sato will give each pair of students 3 magnets. So far, Mr. Sato has given 9 pairs of students their 3 magnets. How many more magnets does Mr. Sato need so that each pair of students has exactly 3 magnets?
What is 9
200
Evaluate each expression if m = 6 and n = 12.
4m – 17
What is 7
200
eight dollars more than the shirt costs
Let c represent the cost of the shirt; c + 8
200
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
6 + 3 and 3 + 6
yes; Commutative Property
200
5(6 + b)
30 + 5b
300
Eduardo is 16 years old. Eduardo’s dad takes him and his younger sister to a soccer match. Tickets are $17 for adults and $13 for children (18 and under). Generate an equivalent expression for the total cost of the tickets. What is the total cost of the tickets?
What is 43
300
Evaluate each expression if a = 9, b = 3, and c = 1/3.
15b + ܽa^2
What is 156
300
three times as many drinks on the tray
Let d represent the number of drinks on the tray; 3d
300
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
6 – (4 – 1) and (6 – 4) – 1
no; The expressions equal 3 and 1.
300
7(r – 7)
7r - 49
400
Johnny orders two hamburgers and a soda for lunch. A
hamburger is $3 and a soda is $1. Generate an
equivalent expression to show how much he paid for
lunch. Then determine the value of the expression.
What is 7
400
Evaluate each expression if a = 9, b = 3, and c = 1/3.
19 + 6a ÷ 2
What is 146
400
ten times the minutes spent exercising
Let m represent the number of minutes spent exercising; 10m
400
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
7 + 0 and 7
yes; Identity Property
400
12(4 – v)
48 - 12v
500
A store sells barrettes for $2 each and combs for $1.
Shelby buys 3 barrettes and a comb. Ashley buys 2
barrettes and 4 combs. Generate an equivalent
expression for the amount the two girls spent all
together. Determine the total amount spent.
What is 15
500
Evaluate each expression if a = 9, b = 3, and c = 1/3.
ac ÷ (2b)
What is 1/2
500
Spencer bought 3 books of stamps and mailed a package. It cost $4.50 to mail the package. Define a variable
and write an expression to represent the total amount he spent at the post office.
Let s represent the cost of a book of stamps; 3s + 4.50
500
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
40 ÷ 10 and 10 ÷ 40