Name:
Period:
Date:
Evaluate: Operations with Rational Numbers
1
Mr. Zavala has $20.00 to spend at
the candy store for the Valentine’s
Party. Chocolate heart candies cost
$2.75 per pound, and strawberry
lollipops costs $2.25 per pound, tax
included. If Mr. Zavala buys
5 pounds of lollipops, how can he
determine how much money he has
left to spend on chocolate heart
candies?
3
Janet needed 1
2 3
gallons of paint
for the living room, 2
1
5
1
gallons for
the game room, and 1
gallons for
8
the breakfast room. Which
procedure can Janet use to find the
total number of gallons she needs
for the 3 rooms?
A Divide 5 by $2.25
A Add the sum of the whole
numbers to the sum of the
fractions.
B Multiply $2.75 and 5
C Add $2.25 and $2.75
B Find the product of the sum of
the whole numbers and the sum
of the fractions.
D Subtract the product of 5 and
$2.25 from $20.00
C Subtract the sum of the fractions
from the sum of the whole
numbers.
2
Noah had $285.66 in his bank
account. He took out $15.88 to buy
a book. The next week he earned
$38.27 and put that money in his
bank account. How much money, in
dollars and cents is in Noah’s bank
account?
D Find the quotient of the sum of
the whole numbers and the sum
of the fractions.
Record your answer and fill in the
bubbles. Be sure to use the correct
place value.
4
Johnny has 1 meter of rope for a Boy Scout project. One part of the project requires
of rope, and the other part of the project requires
1 2
1 meter
meter of rope. Each bar below represents
3
1 meter of rope. Which bar below is shaded to show the total amount of rope that is left after
he finishes the project?
A
C
B
D
Name:
Period:
Date:
5 Mile Run
Alex trained 4 days for a 5 mile race. He ran 2.75 miles on Tuesday, 3
2 5
3
1
4
miles on Wednesday,
miles on Thursday, and 5 miles on Friday. How far did he run while training?
Describe the procedure (steps) you would use to solve the problem. Use as much math
vocabulary as possible.
Solve the problem.
Is your answer reasonable? How do you know?
Activity Master: Vocabulary Conversation Starters
DIFFERENCE
SUM
LEAST COMMON
MULTIPLE
EQUIVALENT
FRACTION
IMPROPER
FRACTION
PROPER
FRACTION
NUMERATOR
DENOMINATOR
Name:
Period:
Date:
Who’s Correct?
Juan, Liz, and Michael were absent when Mrs. Mateo taught her students how to add and
subtract fractions with unlike denominators. Mrs. Mateo asked Kim to help the 3 students solve
1 3 1
the problem: + + =
2 4 7
Kim asked each student to find the least common multiple of the denominators 2, 4, and 7.
To Kim’s surprise, each student had a different answer! Who is correct?
Juan’s Solution
Liz’s Solution
Michael’s Solution
8
14
28
Is Juan correct? Why or why not?
Work:
Is Liz correct? Why or why not?
Is Michael correct? Why or why not?
Activity Master: Pizza Anyone Problems
Read each problem below.
Discuss with your partner how you could solve the problem. Include as much math vocabulary
as possible in your conversation.
Use the words on Activity Master: Vocabulary Conversation Starters in your discussion.
Solve each problem on Pizza Anyone?
Problem A
Carla loves pizza. In fact she loves pizza so much that she ate pizza for 3 days. She ate
2
1 1 medium pizzas on Saturday, 1 medium pizzas on Sunday, and
3
4
1
2 medium pizzas on Monday. How much more pizza did she eat on Monday than she ate
8
on Sunday?
Problem B
Lou, Arturo, and Robert went camping for Spring Break. The boys were tired of roasting
hotdogs so Robert agreed to drive to the pizza store. Robert was curious about the
number of miles it would take to drive to the store and back, so he recorded the number
of miles before and after the trip. The odometer read 2,182.4 before the trip and 2,279.0
after the trip. How many miles did Robert travel?
Problem C
Sherry and Belinda bought 3 medium square pizzas for the party. The pictures below
show how much of the pizza was left.
How much pizza was eaten at the party?
Name:
Period:
Date:
Pizza Anyone?
PLAN:
SEE:
Find the
Sum
Difference of
Product
Quotient
and_
.
and
.
DO: (Solve)
Estimation:
A
REFLECT:
PLAN:
SEE:
Find the
DO:
Sum
Difference of
Product
Quotient
Estimation:
(Solve)
B
REFLECT:
PLAN:
SEE:
Sum
Find the Difference of
Product
Quotient
,_
, and
_.
DO: (Solve)
C
Estimation:
REFLECT: