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WorksheetsVariable Expressions and Open Sentences
Total questions: 27
Worksheet time: 14mins
A(n) _______________ represents an unknown quantity or number
Expression
Factor
Variable
Equation
Which mathematical expression represents "eight times a number"
8/r
8r
r - 8
8 + 2r
Which of the following does not show "a number times 3"
m x 3
m = 3
3m
m * 3
Which problem statement could be represented by this number sentence? 12 + 36 = c
Amy made 12 cupcakes. Maya made 36 cupcakes. They divided their cupcakes evenly. How many cupcakes did they each receive?
Amy made 12 cupcakes. Maya made 36 cupcakes. How many more cupcakes did Maya make?
Amy made 12 cupcakes. Maya made 36 more cupcakes than Amy. How many cupcakes did Maya make?
Which of the following equations does not contain a variable?
87 - 4 x (m + 3) = 37
7r + 1 = 22
(l + w) + 8 = 39
39 - 2 + (9 x 2) = 55
If G represents a number, which of these means the same as the expression G - 10
Ten more than a number
Ten divided by a number
Ten times a number
Ten less than a number
Which can be solved using the open sentence 21 x 5 = p?
Bailey gave each of his twenty-one classmates 5 pieces of chocolate. How many pieces of chocolate did Bailey give to his classmates?
Twenty-one students went to the Fall Festival. Five others joined them later. How many students were at the festival altogether?
Marty collected twenty-one cans of cat food and Peter collected five. How many more cans of cat food did Marty collect than Peter?
Twenty-one students were put into five groups. How many students were put into each group?
Which expression goes with the phrase: "a number less than 9"?
9/n
9 - n
n - 9
9 + n
Lisa needs $18 more in order to buy a winter jacket that costs $65. Which open sentence can be used to find j, the amount of money Lisa has already saved?
j = 65 + 18
18 x j = 65
j + 18 = 65
65 + j = 18
Teresa baked 4 trays of cookies with 12 cookies on each tray. How many cookies did Teresa make?
4 x 12 = c
c x 12 = 4
4 x c = 12
4 + 12 = c
Which equation goes with the problem:
Victoria bought 4 rolls of film and used a coupon for $3.00 off her purchase. She spent $9.00.
3 + 4f = 9
9 + 3 = 4f
4f - 3 = 9
f + 3 + 4 = 9
Riley has four times as many pencils as Jenna. Jenna has 12 pencils. Which number sentence could be used to find P, the number of pencils that Riley has?
P = 4 x 12
P = 4 / 12
P = 4 + 12
P = 12 - 4
Which can be solved using the open sentence 3m = 9
Megan caught 9 insects each day for 3 days. How many insects did Megan catch?
After Megan released 3 insects, she had 9 more to release. How many insects did she start with?
Megan caught the same number of insects each day for 3 days. If she caught a total of 9 insects, how many insects did she catch each day?
Megan caught 3 insects on Saturday. On Sunday, she caught some more. Altogether, she caught 9 insects. How many insects did she catch on Sunday?
Which can be solved using the open sentence C / 2 ?
Chris made 2 fewer basketball shots than Atraio. If C represents the number of shots Chris made, how many shots did Atraio make?
Chris collected 2 more rocks than Atraio. If C represents the number of rocks Chris collected, how many rocks did Atraio collect?
Chris made some cookies. He shared them equally with his friend Atraio. If C represents the number of cookies Chris made, how many cookies did his friend get?
Chris ran 1/2 as far as Atraio. If C represents the distance Chris ran, how far did Atraio run?
Parker charges $3 for a hot dog. If 3x represents the amount he earned last week, what does x represent?
how large each hot dog was
the total money he earned
the number of hot dogs sold
the amount he charges for each hot dog
Which can be solved using the open sentence N + 7?
Marcas did seven more push-ups than Mateo. If N is the number of push-ups Mateo did, how many push-ups did Marcas do?
Vanessa did 7 times as many push-ups as Luna. If N is the number of push-ups Luna did, how many push-ups did Vanessa do?
Barry ran 7 fewer meters than Mike. If N is the number of meters Mike ran, how many meters did Barry run?
Nick takes 7 minutes to run each lap around the gym. If N is the number of laps that Nick ran, how long did he run?
Mackenzie has 32 marbles she wants to separate equally into v bags. There are 8 marbles in each bag. Write an algebraic equation to show this problem.
32 x 8 = v
32 / v = 8
8 x v = 32
8 + 32 = v
Together, Maria and Millie collected shells. Millie collected 7 shells. Maria collected 28 shells. Which equation shows the number of seashells they collected (S)?
3 - 7 = S
7 + 28 = S
7s = 28
7 ÷ s = 28
Sarah and Ryan have 6 candy bars that they want to share equally with their friends. Each friend will receive 3 candy bars. If c represents the number of friends they will share their candy bars with, how many candy bars will each friend receive?
6 - c = 3
6 + c = 3
6c = 3
6 ÷ c = 3
At Able's school, there are 5 lunch tables. At each table, there are 6 kids eating lunch.
The letter k stands for the total number of kids at the tables. Write an equation can you use to find k?
5 x 6 = k
6/k = 5
6 + k = 5
k x 6 = 5
25 students were put into n groups. How many students were put into each group?
25/n
25 x n
25 + n
25 - n
Makai gave each of his 23 classmates five pieces of candy. How many pieces of candy to Makai give to his classmates?
5 x 23 = n
n/5 = 23
23 - 5 = n
23 + 5 = n
Our school took the entire 5th grade to the Aquarium. If we took r buses, how many of the 110 students were on each bus?
110 + r
110 x r
110 - r
110/r
Which of the following does NOT have a variable?
10 + (28 x 37) = 1,046
y = mx + b
2 x 3r
b + 93 = 38m
Logan decided to start a sticker business and charge $2 for a sticker. If 2y represents the amount of money he earned in a week, what does the y represent?
how much he charges for a sticker
how many stickers he sold
how much money he earned
how large the stickers are
Hunter charges $39.99 for a photography session. If she made $319.92, how many clients did she have?
39.99 + c = 319.92
39.99/319.92 = c
39.99 x c = 319.92
319.92 - 39.99 = c
Which of the following word problems represents 82 / v = 41
Mia's server has 82 players. 41 new players join. What is v, the number of players in the server now?
Leilani has 82 popits. She decided to give 41 to each of her v friends. How many friends does she have?
Lexi bought 82 fidgets. Tydus bought 41 more. How many fidgets do they have altogether?
Darion has makes $82 for every stamp he sells. If Darion bought 41 stamps, what is v, the number of stamps he sold?
