Literal Equations
2x+a=b , solve for a
a=b-2x
Kelly made fruit punch to serve at a party for her chess team. She mixed 1 2/5 liters of cranberry juice and 1 3/5 liters of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass?
1/3 liters
The sum of 4 times a number and 5 is 20
4x+5=20
4x-28=4(x-7)
infinitely many solutions!
x+sy=t , solve for y
y=\frac{t-x}{s}
Brittany needed new tires for her truck. She went to the auto shop and bought 4 tires on sale for $85.95 each. The salesman told her that she saved a total of $96.16. If Brittany saved the same amount on each tire, what was the original price of each tire?
$109.99
Twice the difference between 6 times h and 3 gives 30
2(6h-3)=30
-3(1+6r)=14-r
r=-1
abx-d=5d , solve for b
b=\frac{6d}{ax}
Sophie went to the lake with her family. First, they spent 1 1/4 hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?
3 3/4 hours
A landscaper wants to rent a tree stump grinder to prepare an area for a garden. The rental company charges a $26 one-time rental fee plus $48 for each hour the machine is rented.
What is the maximum number of hours the landscaper can rent the tree stump grinder, if he can spend no more than $290?
Remember to write an equation. You do not need to solve it!
26+48h=290
9(x-1)+x=4-(5-10x)
No Solution
\frac{F}{m}=a , for m
m=\frac{F}{a}
Ellen is preparing soil in a new garden bed. After laying down soil in 3/4 of the garden. She finds that she has used 2 bags that have 16.5oz of soil each. How many ounces of soil will she need to finish her garden?
11 ounces
(5-x)/7=10
-10n+3(8+8n)=-6(n-4)
n=0
6z=4-\frac{a}{b} , for b
Answers vary a little. Here's one:
b=-\frac{a}{6z-4}
Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs 1/4 a cup of oats each day, how many days can Stefan feed Coco with the oats he has left?
5 days
Caroline has $200 in her checking account and is depositing an additional $10 each week. Quinn has no money in her checking account and is depositing $25 each week. When will they have the same amount of money in their account?
Remember to write an equation. You do not need to solve!
200+10x=25x
5/3x+5/6=1/2(26/3+7/3x)
x=7