Testinar Grade 6 math

Integer Addition and Subtraction

Students will build Grade 6 mastery of integer addition and subtraction using models, equations, and test-style reasoning.

CH02-12 The Number System

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

What is $-7+3$?
1. $-10$
2. $-4$
3. $4$
4. $10$
Use the number line to find $5+(-8)$.
1. $-13$
2. $-3$
3. $3$
4. $13$
Which chip model shows $-4+6$? (Red chips = $-1$, Blue chips = $+1$)
1. Model A; answer is $2$
2. Model B; answer is $2$
3. Model A; answer is $10$
4. Model B; answer is $8$
A bank account starts at $$250$. After a withdrawal of $$100$, what is the new balance?
1. $$150$
2. $$350$
3. $$100$
4. $-$150$
The temperature at noon was $5°\text{C}$. By evening, it dropped $12°\text{C}$. Use the thermometer to find the evening temperature.
1. $7°\text{C}$
2. $-17°\text{C}$
3. $17°\text{C}$
4. $-7°\text{C}$
Show $-5+(-3)$ on a number line.
1. Starts at $-5$, ends at $-8$, sum is $-8$
2. Starts at $-5$, ends at $-2$, sum is $-2$
3. Starts at $0$, ends at $-8$, sum is $-8$
4. Starts at $-5$, ends at $-3$, sum is $-3$
A golf player has a score of $-5$ (5 under par). She then plays another hole and her score drops by $2$ more strokes. What is her new total score?
1. $-7$
2. $-3$
3. $3$
4. $7$
Using a chip model where red chips represent $-1$ and blue chips represent $+1$, what is the sum?
1. $-1$
2. $1$
3. $5$
4. $-5$

Teacher and parent reference

Answer key and explanations

B. $-4$
Start at $-7$ on a number line and move $3$ units right: $-7+3=-4$.
B. $-3$
Start at $5$ on a number line and move $8$ units left. The result is $5+(-8)=-3$.
A. Model A; answer is $2$
$-4+6$: use 4 red and 6 blue chips. Pair and remove red-blue pairs. Result: 2 blue chips remaining, so $-4+6=2$.
A. $$150$
Starting balance: $250$. Withdrawal is $-100$. So $250+(-100)=150$.
D. $-7°\text{C}$
Start at 5° and drop (subtract) 12°: $5+(-12)=-7°$.
A. Starts at $-5$, ends at $-8$, sum is $-8$
$-5+(-3)=-8$. Start at $-5$ and move 3 units left, landing at $-8$.
A. $-7$
Starting score: $-5$. Dropping 2 more means $-5+(-2)=-7$.
A. $-1$
Red chips = negative. Blue chips = positive. Three red chips = $-3$. Two blue chips = $+2$. Total: $-3+2=-1$.