Ratios and Proportions
A recipe calls for 2/3 cup of sugar for every 4 teaspoons of vanilla. How much vanilla should be used for every 1 cup of sugar?
6 teaspons
What is the value of the expression below when x=4 and y=4?
3x + 7y
40
4x = 40
solve for x.
x = 10
The Petersons spent $48.00 for a meal at a restaurant. How much would they leave for a 20% tip?
$9.60
What is 34% of 800?
272
When preparing to cook, Joanna can chop 3 pounds of carrots in 5 minutes. How many pounds can she chop per minute?
0.6 pounds
What is the value of the expression below when p=9 and y=-7
(y + 2)2 + p
34
w/-6 = 20
Solve for w
w = -120
Jillian bought a $200.00 softball bat when it was on sale for 15% off. What did Jillian pay for the softball bat after the discount?
$170
93 is what percent of 775?
12%
Express $15 for 10 gallons as a unit rate.
$1.50 per gallon
Write an algebraic expression for each phrase
f divided by three then decreased by 4
f/3 - 4
44 = -11x + 33
Solve for x.
x = -1
A department store bought a stereo for $350.00 wholesale and mark it up 115% . What is the amount of the markup?
$402.50
What is 2% of 400?
8
Sandy uses 2/7 of a pound of raisins in each batch of raisin bread. Yesterday, Sandy used 5/7 of a pound of raisins. How many batches of raisin bread did Sandy make yesterday?
2 1/2 batches
Write an algebraic expression for each phrase
The quantity of 6 less than y all multiplied by nine
9(y - 6)
a/2 - 1.5 = 0.75
Solve for a
a = 4.5
A skate shop buys skateboards wholesale for a price of $50. They markup the price 220%. What is the total price the shop sells the skateboard for?
$160
48 is what percent of 50?
96%
Camden hosted a bowling party for some friends. It cost $21.00 to rent 10 pairs of shows. Fifteen people were bowling. How much would it cost Camden to pay for 15 pairs of shoes?
$31.50
Simplify each algebraic expression
-5(2f - 7) + 10f - 30
5
1/2p - 3 = 9
Solve for p
p = 24
Ryan bought a game that sold for $64. It was discounted 10%. What was the final cost?
$57.60
In May, there were 157 people living in Kristin's neighborhood. By August, the population had increased 21%. How many people were in Kristin's neighborhood by August?
190 people