7th Grade Math Review Worksheet featuring arithmetic and algebra problems.

Let’s solve each problem step by step.

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Problem 1: Add (-5) + (-4)

When you add two negative numbers, you add their absolute values and keep the negative sign.

So:
5 + 4 = 9
Then make it negative → -9

✔ Check: Think of it as owing $5 and then owing $4 more — total owed is $9 → -9

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Problem 2: (2/5) ÷ (1/3)

To divide fractions, flip the second fraction (reciprocal) and multiply.

So:
(2/5) × (3/1) = (2×3)/(5×1) = 6/5

You can leave it as an improper fraction or write as mixed number: 1 1/5
But since the question doesn’t specify, 6/5 is fine.

✔ Check: Dividing by 1/3 is like multiplying by 3. So 2/5 times 3 is 6/5 — correct.

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Problem 3: (1/4) × (4/7)

Multiply straight across: numerator × numerator, denominator × denominator.

(1×4)/(4×7) = 4/28

Now simplify: both divisible by 4 → 4÷4=1, 28÷4=7 → 1/7

✔ Check: The 4 in top and bottom cancel out → left with 1/7 — yes!

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Problem 4: Riverside Zoo bought 10 1/4 tons, fed 2 1/3 tons. How much left?

We need to subtract:
10 1/4 – 2 1/3

First, convert to improper fractions or find common denominators.

Let’s use common denominators.

Convert 1/4 and 1/3 to twelfths:

1/4 = 3/12
1/3 = 4/12

So:

10 3/12 – 2 4/12

But we can’t subtract 4/12 from 3/12 — so borrow 1 from 10.

10 3/12 = 9 + 1 + 3/12 = 9 + 12/12 + 3/12 = 9 15/12

Now subtract:

9 15/12 – 2 4/12 = (9–2) and (15/12 – 4/12) = 7 11/12

✔ Check: 7 11/12 + 2 1/3 = 7 11/12 + 2 4/12 = 9 15/12 = 10 3/12 = 10 1/4 — correct!

Answer: 7 11/12 tons

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Problem 5: Write an expression for 267 multiplied by x

“Multiplied by” means use multiplication symbol or just put them next to each other.

So: 267x

That’s the standard way to write it in algebra.

✔ Check: If x were 2, 267×2 = 534, and 267x would be 267×2 — same thing.

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Final Answer:
1. -9
2. 6/5
3. 1/7
4. 7 11/12
5. 267x