Adding and subtracting integers activity for Year 7 - Free Printable

Since the user options (ExplainAnswer, TeachTopic, GeneratePractice) are all set to false, I will proceed directly to solving the problems presented in the image.

The image contains several sections. I will solve them in order: the examples at the top, the fill-in-the-blank section, the exercise table (solving a few from each category as requested), and the word problem at the bottom.

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Part 1: Top Examples

Evaluate the following:

* a) $5 - 9$
* Start at 5. Subtract 9.
* $5 - 5 = 0$. We still need to subtract 4 more ($9 - 5 = 4$).
* $0 - 4 = -4$.
* Answer: -4

* b) $-2 - 7$
* Start at -2. Subtract 7 (move 7 steps left).
* $-2 - 7 = -9$.
* Answer: -9

* c) $-3 + 5$
* Start at -3. Add 5 (move 5 steps right).
* $-3 + 3 = 0$. We still need to add 2 more ($5 - 3 = 2$).
* $0 + 2 = 2$.
* Answer: 2

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Part 2: Middle Examples (Fill in the blanks)

Evaluate the following:

* a) $2 + (-4)$
* Adding a negative is the same as subtracting.
* $2 - 4 = -2$.
* Answer: -2

* b) $-3 - (-6)$
* Subtracting a negative is the same as adding a positive (the "two negatives make a positive" rule).
* $-3 + 6 = 3$.
* Answer: 3

* c) $4 - (+2)$
* Subtracting a positive is just normal subtraction.
* $4 - 2 = 2$.
* Answer: 2

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Part 3: Exercise Table

Select and answer 15 questions. (I will solve 5 from Easy, 5 from Medium, and 5 from Challenging to meet the count of 15).

EASY Column:
* a) $4 - 7$: Start at 4, go back 7. Answer: -3
* b) $-2 - 3$: Start at -2, go back 3. Answer: -5
* c) $-8 + 7$: Start at -8, go forward 7. Answer: -1
* d) $-9 + 2$: Start at -9, go forward 2. Answer: -7
* e) $6 - 14$: Start at 6, go back 14. Answer: -8

MEDIUM Column:
* a) $20 - (-3)$: Subtracting a negative becomes addition. $20 + 3 = 23$. Answer: 23
* b) $-14 + (-20)$: Adding a negative becomes subtraction. $-14 - 20 = -34$. Answer: -34
* c) $-17 - (-13)$: Subtracting a negative becomes addition. $-17 + 13 = -4$. Answer: -4
* d) $24 - (+22)$: Subtracting a positive. $24 - 22 = 2$. Answer: 2
* e) $-30 - (-30)$: Subtracting a negative becomes addition. $-30 + 30 = 0$. Answer: 0

CHALLENGING Column:
* a) $-20 + 4 - 13$:
* First: $-20 + 4 = -16$
* Second: $-16 - 13 = -29$
* Answer: -29
* b) $15 - (-2) + 1$:
* First: $15 - (-2)$ becomes $15 + 2 = 17$
* Second: $17 + 1 = 18$
* Answer: 18
* c) $8 - (-11) - 4$:
* First: $8 - (-11)$ becomes $8 + 11 = 19$
* Second: $19 - 4 = 15$
* Answer: 15
* d) $4 - 3 - 8$:
* First: $4 - 3 = 1$
* Second: $1 - 8 = -7$
* Answer: -7
* e) $-12 - (+4) - 3$:
* First: $-12 - 4 = -16$
* Second: $-16 - 3 = -19$
* Answer: -19

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Part 4: Word Problem

2. The temperature of a room is $25^{\circ}\text{C}$. What will the final temperature be if the temperature changes by $-8^{\circ}\text{C}$?

* Step 1: Identify the starting temperature: $25^{\circ}\text{C}$.
* Step 2: Identify the change: It changes by $-8^{\circ}\text{C}$. This means we subtract 8.
* Step 3: Calculate: $25 - 8$.
* Step 4: $25 - 8 = 17$.
* Final Answer: The temperature is $17^{\circ}\text{C}$.

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Final Answer:
Examples:
a) -4
b) -9
c) 2

Fill in the blanks:
a) -2
b) 3
c) 2

Exercise (Selected 15 answers):
Easy:
a) -3
b) -5
c) -1
d) -7
e) -8

Medium:
a) 23
b) -34
c) -4
d) 2
e) 0

Challenging:
a) -29
b) 18
c) 15
d) -7
e) -19

Word Problem:
$17^{\circ}\text{C}$