Testinar Grade 6 math

Compute with Integers in Context

Students will build Grade 6 mastery of compute with integers in context using models, equations, and test-style reasoning.

CH02-14 The Number System

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

A submarine is $-120$ feet (below sea level). It ascends $45$ feet. What is its new elevation?
1. $-165$ feet
2. $-75$ feet
3. $75$ feet
4. $165$ feet
The temperature at 6:00 AM was -8° C. By noon, it had risen 22° C. What was the temperature at noon?
1. -30° C
2. -14° C
3. 14° C
4. 30° C
Marcus has a bank account with a balance of $-35$ dollars (overdrawn). He deposits $$50$. What is his new balance?
1. $-85$ dollars
2. $-15$ dollars
3. $15$ dollars
4. $85$ dollars
An aircraft descends $800$ feet. If it started at an altitude of $15{,}000$ feet, what is its new altitude?
1. $14{,}200$ feet
2. $14{,}800$ feet
3. $15{,}200$ feet
4. $15{,}800$ feet
In a football game, a team gained $12$ yards on one play and lost $8$ yards on the next play. What was the net yardage change?
1. $4$ yards
2. $-4$ yards
3. $-20$ yards
4. $20$ yards
A diver is $-45$ feet below the surface. She descends another $20$ feet. What is her new depth?
1. $-25$ feet
2. $65$ feet
3. $25$ feet
4. $-65$ feet
The price of a stock was $42. Over two days it lost $5 per day. What is the stock's price now?
1. $32
2. $37
3. $47
4. $52
An account shows a balance of $28. A withdrawal of $15 is made. What is the new balance?
1. $-43
2. $-13
3. $13
4. $43

Teacher and parent reference

Answer key and explanations

B. $-75$ feet
Ascending means the elevation increases: $-120+45=-75$ feet.
C. 14° C
Add the temperature change to the initial temperature: $-8+22=14°$ C.
C. $15$ dollars
Adding a deposit to an overdrawn balance: $-35+50=15$ dollars.
A. $14{,}200$ feet
Descending means altitude decreases: $15{,}000-800=14{,}200$ feet.
A. $4$ yards
Net change is gain plus loss: $12+(-8)=4$ yards gained.
D. $-65$ feet
Descending deeper adds to the negative value: $-45+(-20)=-65$ feet.
A. $32
Loss of $5 per day for 2 days means: $42-5-5=42-10=$32$.
C. $13
Subtraction for a withdrawal: $28-15=$13$.