Testinar Grade 7 math

Adding and Subtracting Linear Expressions

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

CH04-05 Expressions

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

Simplify: \((3x+5)+(2x-7)\)
1. \(5x-2\)
2. \(5x+2\)
3. \(5x-12\)
4. \(6x-2\)
Simplify: \((4x-3)-(2x+5)\)
1. \(2x-8\)
2. \(2x+2\)
3. \(6x-8\)
4. \(2x+8\)
Combine like terms: \((7a+9)-(3a-4)\)
1. \(4a+13\)
2. \(4a+5\)
3. \(10a+5\)
4. \(4a-13\)
Simplify: \((-2b+6)+(5b-1)\)
1. \(3b+5\)
2. \(3b-5\)
3. \(7b+7\)
4. \(-7b+5\)
Simplify: \((6m-2)-(4m-8)\)
1. \(2m+6\)
2. \(2m-10\)
3. \(10m-10\)
4. \(2m-6\)
Which expression is equivalent to \((5p+3)+(2p-9)\)?
1. \(7p-6\)
2. \(3p-6\)
3. \(7p-12\)
4. \(7p+6\)
Simplify: \((-3q-7)+(8q+2)\)
1. \(5q-5\)
2. \(5q+5\)
3. \(11q-5\)
4. \(-5q-5\)
Which expression equals \((2s-10)-(s-3)\)?
1. \(s-7\)
2. \(s-13\)
3. \(3s-13\)
4. \(s+7\)

Teacher and parent reference

Answer key and explanations

A. \(5x-2\)
Combine like terms: \((3x+2x)+(5-7)=5x-2\).
A. \(2x-8\)
Distribute the negative: \(4x-3-2x-5=(4x-2x)+(-3-5)=2x-8\).
A. \(4a+13\)
Distribute the negative: \(7a+9-3a+4=(7a-3a)+(9+4)=4a+13\).
A. \(3b+5\)
Combine like terms: \((-2b+5b)+(6-1)=3b+5\).
A. \(2m+6\)
Distribute the negative: \(6m-2-4m+8=(6m-4m)+(-2+8)=2m+6\).
A. \(7p-6\)
Combine: \((5p+2p)+(3-9)=7p-6\).
A. \(5q-5\)
Combine like terms: \((-3q+8q)+(-7+2)=5q-5\).
A. \(s-7\)
Distribute the negative: \(2s-10-s+3=(2s-s)+(-10+3)=s-7\).