Week 15 Homework Adv Math- printable-ged-math-practice-test2- DO ... - Free Printable

Let's solve each of the four questions from the GED practice test step by step.

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Question 1: Solve: 5 + 9 × 3 − 8

We follow the order of operations (PEMDAS):
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)

So:
1. First, do multiplication:
$ 9 × 3 = 27 $
2. Now substitute:
$ 5 + 27 - 8 $
3. Then do addition and subtraction left to right:
$ 5 + 27 = 32 $
$ 32 - 8 = 24 $

✔ Answer: D. 24

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Question 2: Which is smallest: 9 × 6 or 8 × 7 or 5 × 11?

Calculate each:
- $ 9 × 6 = 54 $
- $ 8 × 7 = 56 $
- $ 5 × 11 = 55 $

Now compare:
- 54 < 55 < 56

So the smallest is 9 × 6

✔ Answer: A. 9 × 6

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Question 3: What is the vehicle’s speed when traveling 30 miles in 30 minutes?

Speed = Distance ÷ Time

But time must be in hours for mph (miles per hour).

- 30 minutes = 0.5 hours
- Speed = $ \frac{30 \text{ miles}}{0.5 \text{ hours}} = 60 \text{ mph} $

Also, since it travels 30 miles in 30 minutes, that means 1 mile per minute, which is equivalent to 60 mph.

So both C and D are correct:
- C. 60 mph
- D. a mile a minute

✔ Answer: E. Both C) and D) are correct answers

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Question 4: Sam’s Bakery makes 3000 donuts in 6 hours, while Annie bakes 4800 donuts per 10-hr day.

We need to compare their rates (donuts per hour).

- Sam's rate:
$ \frac{3000}{6} = 500 $ donuts/hour

- Annie's rate:
$ \frac{4800}{10} = 480 $ donuts/hour

So Sam makes more donuts per hour than Annie.

Difference:
$ 500 - 480 = 20 $ donuts/hour → Sam is more efficient by 20 donuts/hour

✔ Answer: C. Sam is more efficient by 20 donuts / hr.

(Note: Option B says "Sam is more efficient, since he takes 4 fewer hours" — this is misleading because we're comparing rates, not total time. The key is how many per hour.)

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✔ Final Answers:

1. D. 24
2. A. 9 × 6
3. E. Both C) and D) are correct answers
4. C. Sam is more efficient by 20 donuts / hr.

Let me know if you'd like explanations for the rest of the test!