Testinar Grade 6 math

Equivalent Expressions

Students will build Grade 6 mastery of equivalent expressions using models, equations, and test-style reasoning.

CH03-05 Expressions and Equations

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

Which expression is equivalent to \(4(2x+3)\)?
1. \(2x+12\)
2. \(8x+3\)
3. \(8x+12\)
4. \(4x+7\)
Which expression is equivalent to \(3(x+5)\)?
1. \(3x+15\)
2. \(x+15\)
3. \(3x+8\)
4. \(3x+5\)
Simplify \(5x+2x\).
1. \(7x^2\)
2. \(5x+2x\)
3. \(7x\)
4. \(10x\)
Which expression is equivalent to \(6(3y-2)\)?
1. \(18y-12\)
2. \(9y-2\)
3. \(3y-12\)
4. \(18y-2\)
Simplify \(4a+3b+2a-b\).
1. \(6a+2b\)
2. \(9ab\)
3. \(6a+4b\)
4. \(7a+2b\)
Which expression is equivalent to \(2(4x+1)\)?
1. \(8x+2\)
2. \(6x+2\)
3. \(4x+2\)
4. \(8x+1\)
Simplify \(7m-3m+5m\).
1. \(15m\)
2. \(9m\)
3. \(10m\)
4. \(2m+5m\)
Simplify \(6c+4d-2c+3d\).
1. \(8c+7d\)
2. \(4c+1d\)
3. \(4c+7d\)
4. \(8c+d\)

Teacher and parent reference

Answer key and explanations

C. \(8x+12\)
Apply the distributive property: \(4(2x+3)=4\cdot2x+4\cdot3=8x+12\).
A. \(3x+15\)
Distribute: \(3(x+5)=3\cdot x+3\cdot5=3x+15\).
C. \(7x\)
Combine like terms: \(5x+2x=(5+2)x=7x\).
A. \(18y-12\)
Distribute: \(6(3y-2)=6\cdot3y-6\cdot2=18y-12\).
A. \(6a+2b\)
Combine like terms: \((4a+2a)+(3b-b)=6a+2b\).
A. \(8x+2\)
Distribute: \(2(4x+1)=2\cdot4x+2\cdot1=8x+2\).
B. \(9m\)
Combine like terms: \((7-3+5)m=9m\).
C. \(4c+7d\)
Combine like terms: \((6c-2c)+(4d+3d)=4c+7d\).