Addition & Subtraction
Multiplication & Division
Variables
Equations
Solve Word Problems
100
What equation is represented by this set of algebra tiles?
x + 7 = 10
100
Which equation does this set of algebra tiles represent?
6x = 24
100
Nora is running a lemonade stand. She plans to make 8 batches of lemonade. Each batch of lemonade uses 12 lemons. She will also buy 6 extra lemons to decorate the cups. How many lemons does Nora need to buy?
What would the variable l represent in this situation?how many lemons Nora needs to buy
100
Write the sentence as an equation.
67 equals 133 decreased by h
67 = 133 = h
100
Polly sells adorable barrettes and headbands for babies online. During her spring sale, she sold b barrettes and 45 headbands. Polly sold 80 items in all.
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Here is how Vinny completed this problem:
80 = b - 45
80 + 45 = b
125 = b
What did he do wrong?
Polly sold 80 items, so anything over that is too many. He should not have added 45 and 80.
200
h - 9 = 3
h = 12
200
x/4 = 8
x = 32
200
Michael pays $8.99 per month for his streaming subscription. After two years, the total amount that Michael will have paid is $215.76.
What is the independent variable? What is the dependent variable?
independent: price per month
dependent: total amount paid
200
Write the sentence as an equation.
9 groups of x is the same as 243
9x = 243
200
Leo and his friends are playing a new game called Pumpkin Patch. There are p pumpkin cards in total, and the goal of the game is to get them all. To start, Leo splits up the pumpkin cards evenly among the 5 players. He gives 10 pumpkin cards to each player.
Draw a diagram to model this problem.
300
f + 9 = 18
f = 9
300
x/6 = 4
x = 24
300
In the table above, what is the independent variable? What is the dependent variable?
independent: # of minutes (m)
dependent: total words (w)
300
Pick the story that can be modeled by the equation 7x = 56.
a.) Spencer is making a rainbow dessert for his summer barbecue. He makes 7 equal layers, each with x ounces of colored gelatin. In all, he uses 56 ounces of gelatin.
b.) For a watermelon-flavored dessert, Spencer fills a pan with 7 ounces of green gelatin. Then, he pours x ounces of pink gelatin over it. In all, he uses 56 ounces of gelatin.
a. Spencer is making a rainbow dessert for his summer barbecue. He makes 7 equal layers, each with x ounces of colored gelatin. In all, he uses 56 ounces of gelatin.
300
Ann is making her grandfather a scrapbook for his birthday. The scrapbooking kit she bought has 15 fewer pieces of colored paper than pieces of white paper. The scrapbooking kit has w pieces of white paper and 35 pieces of colored paper.
Which equation models this story?
a.) w + 15 = 35
b.) w - 15 = 35
c.) 35w = 15
b.) w - 15 = 35
400
k − 13 = 54
k = 67
400
96 = 3x
x = 32
400
Patty brings reusable shopping bags from home whenever she goes to the store. The number of bags she brings is based on how many products are on her shopping list.
b = the number of bags Patty brings to the store
p = the number of products on Patty's shopping list
Which of the variables is independent and which is dependent?
p = independent
b = dependent
400
Which equation is true when z = 7?
a.) 19 - z = 9
b.) z + 3 = 5
c.) 4z = 28
c.) 4z = 28
400
Ernest is going on vacation and taking his dog Pickles along. Pickles eats 2 cups of Hungry Hound dog food each day. Ernest wants to know how many days he can feed Pickles from a 14-cup bag of Hungry Hound.
Find d, the number of days that Ernest can feed Pickles.
14 = 2d
14/2 = d
7 = d
500
16 = 3.86 + h
h = 12.14
500
4.5 = 1.8f
f = 2.5
500
Walter is building birdhouses in shop class. The number of birdhouses he can build depends on how much wood he has on hand.
b = the number of birdhouses Walter can build
w = the amount of wood Walter has on hand
Which of the variables is independent and which is dependent?
independent: w
dependent: b
500
At The Chilled Spoon, customers choose which fruit and candy toppings they want for their frozen yogurt. There are 20 toppings, of which f are fruit and 12 are candy.
Create an equation to model this story.
f + 12 = 20
500
Sanjay's dad has asked Sanjay and his little brothers to rake the leaves in their yard. They rake all afternoon and fill a number of bags with leaves. Then, when Sanjay isn't looking, his brothers empty 4 of the bags to make a giant leaf pile! Sanjay is frustrated that only 6 bags of leaves remain.
Solve this equation for b to find the total number of bags Sanjay and his brothers fill with leaves.
b - 4 = 6
b = 6 + 4
b = 10