Equations
Solve for y:
y + .7 = 2.3
y = 1.6
Solve for x:
.25x = 20
x = 20 / .25
x = 2000/25
x = 80
Solve for x:
10.8 + x = 32
x = 21.2
Write and solve an equation for the following situation:
The sum of a number y and 5 is 11
y + 5 = 11
y = 6
Lisa is baking bread. The recipe calls for 5 cups of sugar, but she has already put in 3 cups. How many more cups of sugar does she need to add?
c + 3 = 5
2 cups
When 15.4 is subtracted from a number, the result is 24.6. Write and solve an algebraic equation to find the number.
x - 15.4 = 24.6
+ 15.4 +15.4
x = 40
Solve for a:
4a = 7.2
a = 1.8
Solve for x:
x - 5/9 = 1 2/3
x - 5/9 = 1 2/3
x = 1 2/3 + 5/9
x = 1 6/9 + 5/9
x = 1 11/9
x = 2 2/9
Solve for n:
n - 4/5 = 9/10
n = 1 7/10
Write and solve an equation for the following situation:
The product of v and 4 is 28
4v = 28
v = 7
How many packages of gummy bears can you buy with $36 if one package costs $9?
9p = 36
p = 4 packages
Bill Perkins and his 2 friends go out to the movies. They buy tickets and snacks. The friends split the cost evenly. If the total cost is c dollars and Bill paid $14.50, what was the total cost of the tickets and snacks?
c/3 = 14.5
c = $43.50
Solve for c:
c/.5 = 7
c = 3.5
Solve for g:
g/6= 2
g = 12
Solve for x:
x + 2.75 = 5.18
x = 2.43
Write and solve an equation for the following situation:
The quotient of r and 8 is 3
r/8 = 3
r = 24
Robert and his 5 friends go out to dinner and split the bill evenly. If the bill is $120, how much did each person pay?
6x = 120
x = $20
Note there are 6 people in the question!
Reyna has x sandwiches made for a party. After the first hour, one-fourth of the sandwiches have been eaten. If 13 sandwiches were eaten in the first hour, how many sandwiches were made originally?
1/4x = 13
x = 52 sandwiches
Solve for k:
k + 41 = 97
k = 56
Solve for m:
2/3m=8/9
m = 1 1/3
Solve for g:
4/15g=10/21
g = 1 11/14
Write and solve an equation for the following situation:
12 less than m is 30
m - 12 = 30
m = 42
Last week Sally had $82. Over the weekend she received some money for doing chores. She now has $110. How much money did Sally earn for her chores?
x + 82 = 110
x = $28
Every morning, Zane goes to his favorite deli and buys his favorite breakfast sandwich and a coffee. Over the last 7 days, Zane has spent $36.75 on breakfast. How much money does he spend each day?
7x = 36.75
x = $5.25
Solve for w:
5 1/4 + w = 16
5 1/4 + w = 16
-5 1/4 -5 1/4
w = 10 3/4
Solve for x:
6/5x = 2/25
x=1/15
Solve for d:
d - 5/9 = 7 3/4
d - 5/9 = 7 3/4
+ 5/9 + 5/9
d = 7 27/36 + 20/36
d = 7 47/36 = 8 11/36
Write and solve an equation for the following situation:
Three-sevenths of a number, f is five-halves
f = 5 5/6
Ronnie purchased a a shirt and a pair of pants. The pair of pants cost $35 and altogether, the bill came out to $47.50. How much did the shirt cost?
x + 35 = 47.50
x = $12.50
Johnny has a recipe for chocolate chip cookies that requires 2 3/4 cups of sugar. Johnny has already put in 1 5/8 cups. How many more cups does he need to put in?
x + 1 5/8 = 2 3/4
- 1 5/8 - 1 5/8
x = 2 6/8 - 1 5/8
x = 1 1/8 cups