Equations
Equations Too
Conversions
Models
Writing Equations
100
12f - 180 = 144
f = 27
100
A hotel puts 4 pillows in each of its r rooms and stores another 100 pillows in case guests want more. If the hotel has 452 pillows total, how many rooms, r, are in the hotel?
r = 88 pillows
100
Simplify 5xx - x + 5xx + 3 - 3x - 10
10xx - 4x - 7
100
Model the multiplication expression: 5/8 ・ 3/5
◉◉◉◉◉❂❂❂ ◉◉◉◉◉❂❂❂ ◉◉◉◉◉❂❂❂ ❍❍❍❍❍ ❂❂❂ ❍❍❍❍❍ ❂❂❂
100
A newsstand displays m magazines and 50 newspapers. They are divided equally among 4 shelves. If each shelf has 62 magazines and newspapers, what is the value of m? Write an equation and solve.
(m + 50)4 = 62 m = 208
200
-3g + 6 + 2g = 15
g = -9
200
Adrienne makes a pitcher of 34 cups of lemonade. She pours c cups of lemonade for each of 8 friends. If there are 10 cups left in the pitcher, what is the value of c?
c = 3 cups
200
Simplify 10y + 8 - 2x - 3x - y + 13 - 5 + x
9y - 4x + 16
200
Model 3x + 4 = 10
☆☆☆☼ = 10 ☼ = 4
200
Chuck jogged the same distance on Tuesday and Friday,and 8 miles on Sunday, for a total of 20 miles for the week. Write an equation and solve to find the distance Rick jogged on Tuesday and Friday each.
2x + 8 = 20 Chuck jogged 6 miles each Tuesday and Friday.
300
(d+22)/5 + 3 = 9
d = 8
300
Jumbo shrimp sells for $18 per pound and 2 1/4 pounds of crab for $45 in a local supermarket. One customer spent a total of $117 on shrimp and 2 1/4 pounds of crab for a dinner party. How many pounds of shrimp did the customer purchase for the party?
4 pounds of shrimp
300
Write 3/8 as a fraction and decimal
.375 and 37.5%
300
▵ ✽ ✽ ✽ ▵ ✽ ✽ ✽ = ✽ ✽ ✽ ✽ ✽ ✽ ✽ ✽ ✽ ✽ ✽ ✽ What is the value of ▵ ?
▵ = ✽ ✽ ✽
300
One basketball team defeated another by 16 points. The total number of points scored by both teams was 176. Find the number of points p scored by the winning team. Write an equation and solve.
2p + 16 = 176 The winning team scored 91 points
400
(2.6 - k)/7.8 = -7.9
k = 64.22
400
A restaurant has r reservations each hour except its last hour, when it has 10 reservations. If the restaurant is open for 6 hours, and has a total of 52 reservations, how many reservations, r, does the restaurant have each hour? Write an equation and solve.
62 + 10 = 52 r = 7 reservations per hour
400
Write 48% as a fraction.
12/25
400
An equation is represented by the model shown.  ♤♤ ♧♧♧♧ = ♤ ♧♧♧♧♧♧♧ What is the value of ♤
♤ = ♧♧♧
400
Tina went to the movies with some of her friends. the tickets cost $6.50 a piece, and each person received a $1.75 student discount. The total amount paid for all the tickets was $38.00. Determine the number of friends who joined Tina at the movies. Write an equation and solve.
x(6.50 - 1.75) = 38 - x 7 friends joined Tina
500
-2d + 12 - 5d + d + 6 = 60
d = -7
500
The dining room originally had 12 chairs. Mike adds half of the kitchen chairs. The dining room now has a total of 16 chairs. How many chairs were in the kitchen? Write an equation and solve.
1/2c + 12 = 16 c = 8 chairs in the kitchen
500
The temperature outside is -20° C. What is the temperature in Fahrenheit? Use: C = 5/9(F - 32)
-4˚F
500
Model the inequality 5 v - 365 < 5( 4 - 6 v)
<______________7
500
Mrs. Jones's class has been raising money for a local charity. At the end of last week, they had collected $276. By the end of the second and third week, they had a total of $519. If the class earned $53 more the second week than the third week, how much money did the class earn the third week?
276 + (2x + 53) = 519 x = $95 for the third week
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