Level 1
Name:
Date:
Per:
Write a numerical expression for each verbal phrase. Write a numerical expression for each verbal phrase.
1. The height difference between fourteen and
4. The total length of songs on a CD if each of
nine inches
nine songs is three minutes long
Verbal Phrase:
Verbal Phrase:
Numerical Expression:
Numerical Expression:
2. The total number of fish if you had eight and
bought four more
Verbal Phrase:
5. The total money earned if Lee sold four
scarves at twenty dollars each
Verbal Phrase:
Numerical Expression:
Numerical Expression:
3. The number of weeks until vacation is
twenty-eight days away
Verbal Phrase:
6. The number of people left to play if ten of
fifteen have played
Verbal Phrase:
Numerical Expression:
Numerical Expression:
Evaluate each expression
1. 3 ∙ 6 − 4
Evaluate each expression
4. 2[3 + 7(4)]
2. 18 − 4 × 2
5. 6 + 4(3)
3. 16 ÷ 4 + 15
6. 12(11) − 56
Evaluate each expression
7. 8[(12 − 5) + 4]
8. 4(8) ÷ (8 − 6)
9.
28+12
13−5
Evaluate each expression
10. 7[8(3) ÷ (15 − 9)]
11.
12.
5+9
10−3
16−8
15−11
Level 2
Name:
Date:
Per:
1. A decorative floor pattern has 1 red square tile
3. To place an ad in a newspaper, it cost $8 plus
surrounded by 12 blue tiles. Write and evaluate an $0.75 for each line. Write and evaluate an
expression to show how many total red and blue
expression to find the total cost for an ad that has 6
tiles are needed if there are 15 red tiles. Then
lines. Then make a table showing the cost if there
make a table showing the total number of tiles if
are 6, 10, 14, and 18 lines in the ad.
there are 15, 20, 25, or 30 red tiles.
Newspaper
Number of
Expression
Cost
lines in the
Newspaper
6
Decorative Floor Pattern
Number of Red Expression
Number of Blue
Tiles
Tiles
15 tiles
20 tiles
25 tiles
10
14
18
30 tiles
2. The table shows the prices of admission to the
local zoo.
Zoo Admission
Ticket
Cost
Adults (12-64)
$8
Children (3-11)
$5
Seniors (65 +)
$4
Write an expression that can be used to find the
total cost admission for 4 adults, 3 children and 1
senior.
Find the total cost.
4a. Grace has a coupon for $2 off the regular price
of each pair of jeans she buys. She buys 4 pairs of
jeans with a regular price of $23 each.
Write and evaluate an expression to find the total
cost of the jeans.
4b. Lamar also buys 4 pairs of the jeans. He has a
coupon for $2 off the total purchase price.
Write and evaluate an expression for the total cost
of his jeans
Common Core Style Standards Name:____________________________________________ Per:_______ Date:_____________
Level 3
1. In this problem, you will investigate expressions using a toothpick sequence.
Table: Make a table showing the term number and number of toothpicks.
Counting Toothpicks
Term
Expression
1
Amount
2
3
a. Words: Write a verbal rule to find the number of toothpicks for any term.
b. Write two different expressions, each with more than one operation, that have a value of 20
2. Leah bought two packages of special decorative trim for a craft project. One package contains
350 centimeters of trim. The second package contains 200 inches of trim.
A: If 1 𝑖𝑛𝑐ℎ ≈ 2.54 𝑐𝑒𝑛𝑡𝑖𝑚𝑒𝑡𝑒𝑟𝑠, write and evaluate an expression to find the number of
centimeters in 200 inches.
Inches to Centimeter
Inches
Expression
Centimeters
200
B: Find the total number of centimeters of trim in the two packages.
C: How many packages of trim containing 90 inches each will Leah need to buy to have about the
same amount of trim from part B? Explain.
3. Explain why the rules for the order of operations are important. Support your answer with two
numerical examples.
CST Style
Level4
Rusty is evaluating 96 ÷ 3 × 4 + 7 as shown below A man is a musician. He charges $50 for each of the
first three hours he plays and $24.95 for each
96 ÷ 3 × 4 + 7
additional hour. Which expression cannot be used
96 ÷ 12 + 7
to find the total amount he charges if he plays for 7
8+7
hours?
15
What should Rusty have done different in order to
a. 4 × $24.95 + 3 × $50
b. 7($50 + $24.95)
evaluate the expression correctly?
c. $50 + $50 + $50 + 4($24.95)
a. Multiplied (96 ÷ 3) by (4 + 7)
d. 3($50) + 4($24.95)
b. Divided 96 by (3 × 11)
c. Multiplied (96 ÷ 3) by 4 and added 7
d. Divided 96 by (4 + 7)
Evaluate 7[12 − (6 − 2) ÷ 4]
a. 7
c. 77
b. 14
d. 83
Short Response: Max wants to buy 5 hats and 4 Tshirts. Write an expression to find the total cost of
5 hats and 4 T-shirts.
Hats
T-shirts
$15
$20