Testinar Grade 7 math

Subtracting Integers

Students will build Grade 7 mastery of subtracting integers using models, equations, and test-style reasoning.

CH03-03 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 \(4-(-7)\)?
1. \(-11\)
2. \(-3\)
3. \(3\)
4. \(11\)
Simplify: \(-5-3\)
1. \(-8\)
2. \(-2\)
3. \(2\)
4. \(8\)
What is \(-2-(-6)\)?
1. \(4\)
2. \(-8\)
3. \(-4\)
4. \(8\)
Evaluate: \(10-(-5)\)
1. \(5\)
2. \(-15\)
3. \(-5\)
4. \(15\)
Which expression equals \(-3\)?
1. \(5-(-2)\)
2. \(-6-3\)
3. \(-1-4\)
4. \(2-5\)
What is \(-8-(-2)\)?
1. \(-10\) (if you add both numbers without flipping the sign)
2. \(6\) (if you ignore the leading negative)
3. \(-4\) (if you forget to apply the rule)
4. \(-6\) (correct: \(-8+2\))
Simplify: \(0-(-9)\)
1. \(9\)
2. \(-9\)
3. \(0\)
4. \(-18\)
Evaluate: \(-1-(-5)\)
1. \(-6\)
2. \(6\)
3. \(-4\)
4. \(4\)

Teacher and parent reference

Answer key and explanations

D. \(11\)
Subtracting a negative is the same as adding its opposite: \(4-(-7)=4+7=11\).
A. \(-8\)
When subtracting from a negative number, move further left on the number line: \(-5-3=-8\).
A. \(4\)
Subtracting a negative becomes addition: \(-2-(-6)=-2+6=4\).
D. \(15\)
\(10-(-5)=10+5=15\). Always convert subtraction of a negative to addition.
D. \(2-5\)
\(2-5=2+(-5)=-3\). Check: A \(=7\), B \(=-3\), C \(=-5\), D \(=-9\).
D. \(-6\) (correct: \(-8+2\))
\(-8-(-2)=-8+2=-6\). Subtracting the negative shifts right by 2 on the number line.
A. \(9\)
\(0-(-9)=0+9=9\). The opposite of \(-9\) is \(9\).
D. \(4\)
\(-1-(-5)=-1+5=4\). Move right 5 units from \(-1\) on the number line.