How many ounces are there in a gallon?

Answer(s): C

Use dimensional analysis to convert from gallons to ounces.

1 Gallon = 4 Quarts
1 Quart = 2 Pints
1 Pint = 2 Cups
1 Cup = 8 Ounces

What is 70% of 65?

Answer(s): A

Recall that:

Substitute given values and solve for the unknown:

Alternatively, directly multiplying 65 by 0.7 will yield the same result.

For a recipe, there are 3 eggs needed for every pound of cake needed. How many pounds of cake can be made if there are 40 eggs?

Answer(s): B

Write a proportion to represent the situation:

Cross multiply and solve for the variable x:
3x = 40 −> x = 131/3
Only 13 pounds of cake can be made.

Evaluate:
x4 − y if x = 3 and y = 20

Answer(s): A

Substitute the values of x and y into the given equation and evaluate:
= 34 − (20)
= 81 − 20
= 61

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