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Writing Equations
One-Step Equations
Two-Step Equations
Multi-Step Equations
H.O.T. Problems
100
Mikey has 9 more comic books than Michael. Together they have 95 comic books. Write an equation that could be used to find the number of comic books they each have.
What is 2c + 9 = 95
100
-0.7y = 9.1
What is -13
100
-19.2 = -3.6x + 2.4
What is 6
100
2a = 12 - 4a
What is 2
100
An online movie streaming plan has no annual fee but charges $4.25 per movie watched. Another plan charges an annual fee of $36 plus $3.50 per movie watched. For how many movies is the cost of the plans the same?
What is 48 movies
200
You and 3 friends pay $26.55 for a pizza and 4 of the same kind of drinks. The pizza cost $18.75. Write and solve an equation to find the cost of one drink.
What is 4d + 18.75 =26.55 $1.95
200
-1.4 d = 0.7
What is -0.5
200
2 1/4 m + 3 = 4 1/8
What is 1/2
200
-2.3c - 6.6 = -12.2 - 3.9c
What is -3.5
200
Brooklynn and some friends went to an amusement park. They bought five of the same lunches and 3 desserts and spent a total of $60.25 on the food. Each dessert costs $5.25 less than one of the lunches. a. Define a variable. Write an equation that can be used to find the cost of lunch. b. Solve the equation to find the cost of a lunch.
What is A. t = cost of lunch 5t + 3(t -5.25) = 60.25 B. $9.50
300
Nyanna bowled two games for a total score of 202. Her score for the second game was 30 points less than the score of her first game. Write and solve an equation to find her score for the second game.
What is 2g + 30 =202; 86 points
300
1/2 x = 14
What is 28
300
-2 2/3 n + 21 =- 1/3 n
What is 9
300
-30 = -2(-n + 3)
What is -12
300
Two beakers plus their contents have a mass of 180.4 grams. The total mass of the contents is 56.8 grams. Write and solve an equation to find the mass of one beaker.
What is b + 56.8 =180.4; 61.8g
400
Phyls is 5 years older than her brother. The sum of their ages is 51. Define a variable. Then write an equation that could be used to find their ages.
What is k = Keira’s age; 2k - 5 = 51
400
-5.2 = 0.04m
What is -130
400
1 2/3 m + 2 = 2 1/6
What is 1/10
400
-3(q - 4) + 15 = -5(q - 7) - 10
What is -1
400
Luigi and some friends went to the movies. They bought 4 drinks and 2 tubs of popcorn and spent a total of $32.50 on the food. Each drink costs $3.50 less than a tub of popcorn. a. Define a variable. Write an equation that can be used to find the cost of one tub of popcorn. b. Solve the equation to find the cost of a tub of popcorn.
What is A. p = cost of popcorn; 2p + 4(p -3.50) = 32.50 B. $7.75
500
At a concert, you purchase 3 T-shirts and a concert program for a total cost of $90. The program cost $15 and the T-shirts all cost the same. Write and solve an equation to find the cost of one T-shirt.
What is 3t + 15 = 90; $25
500
5/7c =13/14
What is 13/10 or 1 3/10
500
3/4 n = -1 3/4 n - 18
What is -7 1/5
500
3(y - 2) + 15 = -3(y - 3) + 6y
What is all real numbers
500
4(x - 2) = 2(x - 4) + 2x
What is all real numbers