Adding and Subtracting Linear Expressions

Adding and Subtracting Linear Expressions

7th - 8th Grade

6 Qs

quiz-placeholder

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Adding and Subtracting Linear Expressions

Adding and Subtracting Linear Expressions

Assessment

Quiz

Mathematics

7th - 8th Grade

Practice Problem

Hard

Created by

AMANDA BRADY

Used 9+ times

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6 questions

Show all answers

1.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Simplify the following.  


 (4x+1)+(x+6)\left(4x+1\right)+\left(x+6\right)  

When typing your answer, don't use any spaces.

Answer explanation

Since both sets of parenthesis have a positive 1 in front, the parenthesis are not necessary.  4x+1+x+64x+1+x+6  
Reorder to put like terms together. Remember to keep the sign in front!
 4x+x+1+64x+x+1+6  
Combine your like terms.  Remember x is the same as 1x!
 5x+75x+7  

2.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Simplify the following.  


 (3x5)+(4x6)\left(3x-5\right)+\left(4x-6\right)  

When typing your answer, don't use any spaces.

Answer explanation

Since both sets of parenthesis have a positive 1 in front, the parenthesis are not necessary.  3x5+4x63x-5+4x-6  
Reorder to put like terms together. Remember to keep the sign in front!
 3x+4x563x+4x-5-6  
Combine your like terms.  
 7x117x-11  

3.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Simplify the following.  


 (2x+8)+(5x+2)\left(2x+8\right)+\left(5x+2\right)  

When typing your answer, don't use any spaces.

Answer explanation

Since both sets of parenthesis have a positive 1 in front, the parenthesis are not necessary.  2x+8+5x+22x+8+5x+2  
Reorder to put like terms together. Remember to keep the sign in front!
 2x+5x+8+22x+5x+8+2  
Combine your like terms.  
 7x+107x+10  

4.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Simplify the following.  


 (8x+10)(3x+1)\left(8x+10\right)-\left(3x+1\right)  

When typing your answer, don't use any spaces.

Answer explanation

Begin by distributing the -1 to both numbers in the second set of parenthesis.

 8x+103x18x+10-3x-1  
Reorder to put like terms together. Remember to keep the sign in front!
 8x3x+1018x-3x+10-1  
Combine your like terms.  
 5x+95x+9  

5.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Simplify the following.  


 (7x6)(5x2)\left(7x-6\right)-\left(5x-2\right)  

When typing your answer, don't use any spaces.

Answer explanation

Begin by distributing the -1 to both numbers in the second set of parenthesis.

 7x65x+27x-6-5x+2  
Reorder to put like terms together. Remember to keep the sign in front!
 7x5x6+27x-5x-6+2  
Combine your like terms.  
 2x42x-4  

6.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Simplify the following.  


 (3x+10)(6x4)\left(3x+10\right)-\left(6x-4\right)  

When typing your answer, don't use any spaces.

Answer explanation

Begin by distributing the -1 to both numbers in the second set of parenthesis.

 3x+106x+43x+10-6x+4  
Reorder to put like terms together. Remember to keep the sign in front!
 3x6x+10+43x-6x+10+4  
Combine your like terms.  
 3x+14-3x+14  

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