Students use this sheet to practice converting word problems into algebraic equations using variables.

Let's solve each of these algebra word problems by writing an equation for each situation. We'll go step by step and explain the reasoning.

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1. Jerry had 20 DVDs. He bought x more. Then he had 28 DVDs.

- Jerry started with 20 DVDs.
- He bought x more, so total becomes: $ 20 + x $
- After buying, he has 28 DVDs.

So the equation is:
$$
20 + x = 28
$$

✔ Answer: $ 20 + x = 28 $

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2. Dorothy baked 4 loaves of banana bread, each weighs w oz. The total weight is 80 oz.

- Each loaf weighs $ w $ ounces.
- There are 4 loaves, so total weight = $ 4 \times w = 4w $
- Total weight is 80 oz.

So the equation is:
$$
4w = 80
$$

✔ Answer: $ 4w = 80 $

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3. Bobbie had z tokens. She gave 7 to Bryan. She had 16 tokens left.

- Bobbie originally had $ z $ tokens.
- She gave away 7, so she has $ z - 7 $ left.
- She has 16 left.

So the equation is:
$$
z - 7 = 16
$$

✔ Answer: $ z - 7 = 16 $

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4. Each of the 50 states has s U.S. Senators. There are 100 U.S. Senators all together.

- Each state has $ s $ senators.
- There are 50 states.
- Total number of senators = $ 50 \times s = 50s $
- Total is 100.

So the equation is:
$$
50s = 100
$$

✔ Answer: $ 50s = 100 $

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5. The recess period at Morehead School is usually 20 minutes. On Friday, the students are given an extra t minutes, so they had 40 minutes for recess.

- Usual recess = 20 minutes.
- Extra time = $ t $ minutes.
- Total recess on Friday = $ 20 + t $
- This equals 40 minutes.

So the equation is:
$$
20 + t = 40
$$

✔ Answer: $ 20 + t = 40 $

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6. Deborah dealt an entire deck of 52 cards to make g hands. Each hand had 13 cards.

- Total cards = 52.
- Each hand has 13 cards.
- Number of hands = $ g $
- So total cards = $ 13 \times g = 13g $
- This equals 52.

So the equation is:
$$
13g = 52
$$

✔ Answer: $ 13g = 52 $

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✔ Final Answers:

1. $ 20 + x = 28 $
2. $ 4w = 80 $
3. $ z - 7 = 16 $
4. $ 50s = 100 $
5. $ 20 + t = 40 $
6. $ 13g = 52 $

These equations represent each situation algebraically. You can solve them if needed, but the task only asks to write the equations.