Lesson 15: Practice Problems

Problem 1

Evaluate each expression, giving the answer in scientific notation:

$5.3 \times 10^{4} + 4.7 \times 10^{4}$
$3.7 \times 10^{6} - 3.3 \times 10^{6}$
$4.8 \times 10^{- 3} + 6.3 \times 10^{- 3}$
$6.6 \times 10^{- 5} - 6.1 \times 10^{- 5}$

Problem 2 From Unit 5 Lesson 10

A graph of time in minutes vs distance in kilometers. The graph is in segments from (0,0) going up to the right with different slopes and flat segments.

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

Problem 3 From Unit 4 Lesson 10

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.

A graph of number of apples vs. number of oranges. Blue points start at (0,8) and go to (8,0) and orange points start at (0,5) and go to (10,0).

Name one combination of 8 fruits shown on the graph that whose cost does not total to $10.
Name one combination of fruits shown on the graph whose cost totals to $10 that are not 8 fruits all together.
How many apples and oranges would you need to have 8 fruits that cost $10 at the same time?

Problem 4 From Unit 4 Lesson 5

Solve each equation and check your solution.

$- 2 (3 x - 4) = 4 (x + 3) + 6$
$\frac{1}{2} (z + 4) - 6 = - 2 z + 8$
$4 w - 7 = 6 w + 31$