Evaluate each expression, giving the answer in scientific notation:

1.  \(5.3 \times 10^4 + 4.7 \times 10^4\)
2. \(3.7 \times 10^6 - 3.3 \times 10^6\)
3. \(4.8 \times 10^{\text-3} + 6.3 \times 10^{\text-3}\)
4. \(6.6 \times 10^{\text-5} - 6.1 \times 10^{\text-5}\)

Here are the areas for each of the five Great Lakes:

• Superior: \(8.2 \times 10^4\) square km
• Huron: \(6.0 \times 10^4\) square km
• Michigan: \(5.8 \times 10^4\) square km
• Erie: \(2.6 \times 10^4\) square km
• Ontario: \(1.9 \times 10^4\) square km

1. How much larger is Lake Huron than Lake Michigan? Give your answer with and without scientific notation.
2. Which is larger — Lake Michigan and Lake Ontario combined, or Lake Superior? Give the difference with and without scientific notation.

1. Write a scenario that describes what is happening in the graph.
2. What is happening at 5 minutes?
3. What does the slope of the line between 6 and 8 minutes mean?

Apples cost \$1 each. Oranges cost \$2 each. You have \$10 and want to buy 8 pieces of fruit. One graph shows combinations of apples and oranges that total to \$10. The other graph shows combinations of apples and oranges that total to 8 pieces of fruit.

Coordinate plane, x, number of apples, 0 to 10 by 2, y, number of oranges, 0 to 10 by 2. Yellow points at 0 comma 5, 1 comma 4 point 5, 2 comma 4, 3 comma 3 point 5, 4 comma 3, 5 comma 2 point 5, 7 comma 1 point 5, 8 comma 1, 9 comma point 5, 10 comma 0. Blue points at 0 comma 8, 1 comma 7, 2 comma 6, 3 comma 5, 4 comma 4, 5 comma 3, 7 comma 1, 8 comma 0. Green point at 6 comma 2.

1. Name one combination of 8 fruits shown on the graph whose cost does not total to \$10.

2. Name one combination of fruits shown on the graph whose cost totals to \$10 that are not 8 fruits all together.

3. How many apples and oranges would you need to have 8 fruits that cost \$10 at the same time?

Solve each equation and check your solution.