Integer worksheet for Grade 7 - Free Printable

Let's solve each problem step by step:

---

Problem 1:

\[
(-11) - (-56) = \text{ ?}
\]
- Subtracting a negative number is the same as adding the positive counterpart.
- So, \((-11) - (-56) = -11 + 56 = 45\).

Answer: \( \boxed{a. +45} \)

---

Problem 2:

\[
90 - (+50) = \text{ ?}
\]
- Subtracting a positive number is straightforward.
- So, \(90 - 50 = 40\).

Answer: \( \boxed{a. +40} \)

---

Problem 3:

\[
67 + 67 = \text{ ?}
\]
- Adding two identical numbers:
- \(67 + 67 = 134\).

Answer: \( \boxed{b. +134} \)

---

Problem 4:

\[
(-30) \times (-70) = \text{ ?}
\]
- The product of two negative numbers is positive.
- So, \((-30) \times (-70) = 30 \times 70 = 2100\).

Answer: \( \boxed{a. 2100} \)

---

Problem 5:

\[
(-15) \div 5 = \text{ ?}
\]
- Dividing a negative number by a positive number results in a negative quotient.
- So, \((-15) \div 5 = -3\).

Answer: \( \boxed{b. -3} \)

---

Problem 6:

\[
1000 \div 10 = \text{ ?}
\]
- Dividing 1000 by 10:
- \(1000 \div 10 = 100\).

Answer: \( \boxed{a. 100} \)

---

Problem 7:

\[
49 \div \text{ ? } = 7
\]
- Let the unknown number be \(x\). Then:
\[
49 \div x = 7
\]
- Solving for \(x\):
\[
x = 49 \div 7 = 7
\]

Answer: \( \boxed{a. 7} \)

---

Problem 8:

\[
\text{What should be added to } -1 \text{ to get } 10?
\]
- Let the unknown number be \(x\). Then:
\[
-1 + x = 10
\]
- Solving for \(x\):
\[
x = 10 - (-1) = 10 + 1 = 11
\]

Answer: \( \boxed{b. 11} \)

---

Problem 9:

\[
\text{An integer divided by } 7 \text{ gives a result of } -3. \text{ What is that integer?}
\]
- Let the integer be \(x\). Then:
\[
x \div 7 = -3
\]
- Solving for \(x\):
\[
x = -3 \times 7 = -21
\]

Answer: \( \boxed{b. -21} \)

---

Problem 10:

\[
P = -5 \text{ and } Q = -15. \text{ Find } (P + Q) \div (P - Q).
\]
- First, calculate \(P + Q\):
\[
P + Q = -5 + (-15) = -5 - 15 = -20
\]
- Next, calculate \(P - Q\):
\[
P - Q = -5 - (-15) = -5 + 15 = 10
\]
- Now, divide \((P + Q)\) by \((P - Q)\):
\[
(P + Q) \div (P - Q) = -20 \div 10 = -2
\]

Answer: \( \boxed{b. -2} \)

---

Final Answers:

1. \( \boxed{a. +45} \)
2. \( \boxed{a. +40} \)
3. \( \boxed{b. +134} \)
4. \( \boxed{a. 2100} \)
5. \( \boxed{b. -3} \)
6. \( \boxed{a. 100} \)
7. \( \boxed{a. 7} \)
8. \( \boxed{b. 11} \)
9. \( \boxed{b. -21} \)
10. \( \boxed{b. -2} \)

Boxed Final Answer:
\[
\boxed{a, a, b, a, b, a, a, b, b, b}
\]