Math Buzz worksheet featuring multiplication, subtraction, and coordinate graphing exercises.

Let’s solve each part of the worksheet step by step.

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Part 1: Find the rule (Input → Output)

We are given:

- Input 15 → Output 105
- Input 12 → Output 84
- Input 20 → Output 140
- Input 14 → Output 98
- Input 18 → Output 126

Let’s check what operation turns input into output.

Try multiplying:

- 15 × ? = 105 → 105 ÷ 15 = 7
- 12 × ? = 84 → 84 ÷ 12 = 7
- 20 × ? = 140 → 140 ÷ 20 = 7
- 14 × ? = 98 → 98 ÷ 14 = 7
- 18 × ? = 126 → 126 ÷ 18 = 7

✔ So the rule is: Multiply the input by 7

Rule: × 7

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Part 2: Multiply fractions and simplify

First problem:
½ × ⁷₁₀

Multiply numerators: 1 × 7 = 7
Multiply denominators: 2 × 10 = 20
→ ⁷⁄₂₀

Can we simplify? 7 and 20 have no common factors besides 1 → already simplified.

Answer: ⁷⁄₂₀

Second problem:
⁵⁄₈ × ³⁄₅

Multiply numerators: 5 × 3 = 15
Multiply denominators: 8 × 5 = 40
→ ¹⁵⁄₄₀

Simplify: Both divisible by 5 → 15÷5=3, 40÷5=8 → ³⁄₈

Answer: ³⁄₈

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Part 3: Subtract decimals

First:
___ = 7.4 – 2.9

Line up decimals:

```
7.4
– 2.9
------
```

4 – 9 → can’t do, borrow from 7 → becomes 6, and 4 becomes 14
14 – 9 = 5
6 – 2 = 4
→ 4.5

Answer: 4.5

Second:
65.1 – 9.8

Line up decimals:

```
65.1
– 9.8
-------
```

1 – 8 → can’t do, borrow from 5 → 5 becomes 4, 1 becomes 11
11 – 8 = 3
4 – 9 → can’t do, borrow from 6 → 6 becomes 5, 4 becomes 14
14 – 9 = 5
5 – 0 = 5
→ 55.3

Answer: 55.3

Third:
Find the difference between 46.3 and 13.5

That means: 46.3 – 13.5

```
46.3
– 13.5
-------
```

3 – 5 → borrow → 13 – 5 = 8
5 (after borrowing) – 3 = 2
4 – 1 = 3
→ 32.8

Answer: 32.8

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Part 4: Write the point for each ordered pair on the graph

Ordered pairs are written as (x, y) — x is horizontal, y is vertical.

Look at the grid:

- Point A: located at x=4, y=4 → (4, 4) ✔ already labeled
- Point B: located at x=9, y=0 → (9, 0) ✔ already labeled
- Point C: located at x=7, y=10 → (7, 10)
- Point D: located at x=2, y=11 → (2, 11)

Now match to the blanks:

Blank under (4,4): that’s point A → write A
Blank under (9,0): that’s point B → write B
Blank under (7,10): that’s point C → write C
Blank under (2,11): that’s point D → write D

Wait — looking again at the worksheet layout:

It says:

> Write the point that is located at each ordered pair.

Then shows a graph with points labeled A, B, C, D.

Below the graph, it lists:

(4, 4) _______
(9, 0) _______
(7, 10) _______
(2, 11) _______

So you’re supposed to write which letter (A, B, C, or D) matches each coordinate.

From the graph:

- (4,4) → Point A
- (9,0) → Point B
- (7,10) → Point C
- (2,11) → Point D

So fill in:

(4, 4) → A
(9, 0) → B
(7, 10) → C
(2, 11) → D

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Final Answers Summary:

Rule: × 7
Fraction 1: ⁷⁄₂₀
Fraction 2: ³⁄₈
Subtraction 1: 4.5
Subtraction 2: 55.3
Difference: 32.8
Points:
(4,4) → A
(9,0) → B
(7,10) → C
(2,11) → D

──────────────────────────────────────

Final Answer:
Rule: × 7
½ × ⁷₁₀ = ⁷₂₀
⁵₈ × ³⁄₅ = ³⁄₈
7.4 – 2.9 = 4.5
65.1 – 9.8 = 55.3
Difference between 46.3 and 13.5 = 32.8
(4,4) → A
(9,0) → B
(7,10) → C
(2,11) → D