Plainfield Board of Education
Office of Elementary Mathematics
Name: _____________________________________
Date: ________________
Teacher: ___________________________________
Grade 5
Section 1
Unit 3 Assessment Answer Key – Algebraic Connections
1. School uniforms cost $15 plus a one-time fee of $5 if you get your initials embroidered on
the collar. How much did Garrison pay if he ordered 4 embroidered uniforms? (5.OA.1)
Enter the expression that you would use to solve this problem in the box below. Then
solve the expression to find the answer.
($15 x 4) + $5 = $65
2.
3.
Evaluate the expression: (15-5) x [(9 x 3) + 3]
a. 200
b. 300
c. 600
d. 100
Insert parentheses, brackets, and/or braces to make this equation true.
15+ [(7 – 2) x 5] = 40
or
15+ (7 – 2) x 5 = 40
(5.OA.1)
(5.OA.1)
Plainfield Board of Education
Office of Elementary Mathematics
4.
Evaluate the expression: {80 ÷ [2 × (3 + 1)]} + 100
= ___110_______________
(5.OA.1)
5.
A hotel costs $89 per night. Sally will receive a $5 per night discount for
paying in advance. A rental car costs $35 per day plus $4 in taxes. What
expression can Sally use to find how much she will pay for the hotel and
rental car for 5 days?
(5.OA.2)
[($89 - $5) + ($35 + $4)] x 5
Answer:
6.
7.
Which expression below shows “divide 12 by 4, then add 7?”
a. 12
7+4
b. (4
12) + 7
c. 12
(4 + 7)
d. (12
4) + 7
(5.OA.2)
Denzel and his three friends go to the movies. Each person buys a movie ticket for $8, a
snack for $4, and a drink for $3. Write a numerical expression to represent the total cost
of the trip to the movies for Denzel and his friends.
(5.OA.2)
Answer:
($8 + $4 + $3) x 4
Plainfield Board of Education
Office of Elementary Mathematics
8.
Meredith and her brother Liam are saving to buy a basketball hoop that costs $75.
Meredith earns $15 each week for babysitting but spends $6 of it each week. Liam earns
$10 each week for walking dogs but spends $4 of it each week. Which expression can be
used to find how many weeks it will take to save for the basketball hoop?
(5.OA.2)
a. 75 ÷ [ (15 - 6 )+ (10 - 4 ) ]
b. 75 ÷ [ (15+ 6 ) - (10+ 4 ) ]
c. 75 - [ (15 -6 )+ (10+ 4 ) ]
d. 75 ÷ [ (15 -6 ) - (10 -4 ) ]
Use the grid below to answer questions 9-11.
9. What is the ordered pair for the party supply store?
a.
b.
c.
d.
(1,7)
(0,7)
(7,1)
(2,7)
10. What is located at (3, 4)?
a.
b.
c.
d.
garbage dump
hotel
hamburger joint
bank
(5.G.2)
Plainfield Board of Education
Office of Elementary Mathematics
11. Find the 4 on the x-axis. How many businesses are located at that point along the y-axis?
a.
b.
c.
d.
2
1
4
3
12. Sarah plotted the points (2, 8), (2, 4), and (7, 4) on the coordinate grid below. If she wanted
to connect the points to create a rectangle, what would be the coordinate that she is missing?
Plot the points and connect them.
(5.G.2)
Enter the coordinate that she is missing in the box:
(7, 8)
Check student’s work to make sure the points are
plotted correctly on the coordinate grid.
Plainfield Board of Education
Office of Elementary Mathematics
Section 2: Open Ended Response
13. a. Use the coordinate grid below to draw a square beginning at the coordinate (3,2).
(5.G.2)
Check student’s work to show that the square was drawn correctly.
b. Write down the coordinates that mark the corners of your square.
Check student’s work to show that the coordinates written mark the corners of the square drawn.
c. Explain how you chose those points to be your corners.
Check student’s explanation to make sure it has a valid reason for their decision.