Simplifying Expressions (Combining Like Terms) |

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Examples

$5 x + 2 + 3 x + 4$
The answer is $8 x + 6$

$5 x + 2 + 3 z + 4 z + 6$
The answer is $5 x + 7 z + 8$

$3 x + 2 + x - 5$
The answer is $4 x - 3$

Practice Problems

$1)$ $4 x + 6 + 2 x + 1$
Show Answer
The answer is $6 x + 7$

$2)$ $5 x + 4 + 5 x + 7$
Show Answer
The answer is $10 x + 11$

$3)$ $3 x + 2 + x + 12$
Show Answer
The answer is $4 x + 14$

$4)$ $3 x + 5 - 2 x + 8$
Show Answer
The answer is $x + 13$

$5)$ $14 x + 6 - 12 - 8 x$
Show Answer
The answer is $6 x - 6$

$6)$ $3 x + 6 + 5 x - 25$
Show Answer
The answer is $8 x - 19$

$7)$ $4 x - 12 - 2 x + 16$
Show Answer
The answer is $2 x + 4$

$8)$ $5 x^{2} + 4 - 2 x + 3 x^{2} - 5 x + 8$
Show Answer
The answer is $8 x^{2} - 7 x + 12$

$9)$ $2 x - 4 y + 3 x^{2} + 2 x + y - 3 x^{2}$
Show Answer
The answer is $4 x - 3 y$

$10)$ $5 x + 2 y - z + 4 x - 2 y + 3 - x$
Show Answer
The answer is $8 x - z + 3$

$11)$ $16 x - 24 - 12 x + 4$
Show Answer
The answer is $4 x - 20$

$12)$ $3 x + 2 y - 14 + 8 y - 5 - y$
Show Answer
The answer is $3 x + 9 y - 19$

$13)$ $x^{2} + 3 x + 10 - x^{2} + 3 x + 2$
Show Answer
The answer is $6 x + 12$

$14)$ $3 x - 12 x + 5 - 8$
Show Answer
The answer is $- 9 x - 3$

$15)$ $4 y + 3 - 2 y + 5 + x + 3 x$
Show Answer
The answer is $2 y + 4 x + 8$

$16)$ $4 x^{2} + 3 - x^{2}$
Show Answer
The answer is $3 x^{2} + 3$

See Related Pages

$∙ Evaluating Expressions$
$2 x + 5 when x = 3 \dots$

$∙ Multiplying with Negative Numbers$
$(- 3) (4) = - 12 \dots$

$∙ Adding and Subtracting with Negative Numbers$
$3 - 8 = - 5 \dots$

$∙ Diamond Problems$

$∙ Andymath Homepage$

Examples

5x+2+3x+4 The answer is 8x+6

5x+2+3z+4z+6 The answer is 5x+7z+8

3x+2+x−5 The answer is 4x−3

Practice Problems

1) 4x+6+2x+1Show Answer The answer is 6x+7

2) 5x+4+5x+7Show Answer The answer is 10x+11

3) 3x+2+x+12Show Answer The answer is 4x+14

4) 3x+5−2x+8Show Answer The answer is x+13

5) 14x+6−12−8xShow Answer The answer is 6x−6

6) 3x+6+5x−25Show Answer The answer is 8x−19

7) 4x−12−2x+16Show Answer The answer is 2x+4

8) 5x2+4−2x+3x2−5x+8Show Answer The answer is 8x2−7x+12

9) 2x−4y+3x2+2x+y−3x2Show Answer The answer is 4x−3y

10) 5x+2y−z+4x−2y+3−xShow Answer The answer is 8x−z+3

11) 16x−24−12x+4Show Answer The answer is 4x−20

12) 3x+2y−14+8y−5−yShow Answer The answer is 3x+9y−19

13) x2+3x+10−x2+3x+2Show Answer The answer is 6x+12

14) 3x−12x+5−8Show Answer The answer is −9x−3

15) 4y+3−2y+5+x+3xShow Answer The answer is 2y+4x+8

16) 4x2+3−x2Show Answer The answer is 3x2+3

See Related Pages

∙ Evaluating Expressions 2x+5 when x=3…

∙ Multiplying with Negative Numbers (−3)(4)=−12…

∙ Adding and Subtracting with Negative Numbers 3−8=−5…

∙ Diamond Problems

∙ Andymath Homepage

$5 x + 2 + 3 x + 4$
The answer is $8 x + 6$

$5 x + 2 + 3 z + 4 z + 6$
The answer is $5 x + 7 z + 8$

$3 x + 2 + x - 5$
The answer is $4 x - 3$

$1)$ $4 x + 6 + 2 x + 1$
Show Answer
The answer is $6 x + 7$

$2)$ $5 x + 4 + 5 x + 7$
Show Answer
The answer is $10 x + 11$

$3)$ $3 x + 2 + x + 12$
Show Answer
The answer is $4 x + 14$

$4)$ $3 x + 5 - 2 x + 8$
Show Answer
The answer is $x + 13$

$5)$ $14 x + 6 - 12 - 8 x$
Show Answer
The answer is $6 x - 6$

$6)$ $3 x + 6 + 5 x - 25$
Show Answer
The answer is $8 x - 19$

$7)$ $4 x - 12 - 2 x + 16$
Show Answer
The answer is $2 x + 4$

$8)$ $5 x^{2} + 4 - 2 x + 3 x^{2} - 5 x + 8$
Show Answer
The answer is $8 x^{2} - 7 x + 12$

$9)$ $2 x - 4 y + 3 x^{2} + 2 x + y - 3 x^{2}$
Show Answer
The answer is $4 x - 3 y$

$10)$ $5 x + 2 y - z + 4 x - 2 y + 3 - x$
Show Answer
The answer is $8 x - z + 3$

$11)$ $16 x - 24 - 12 x + 4$
Show Answer
The answer is $4 x - 20$

$12)$ $3 x + 2 y - 14 + 8 y - 5 - y$
Show Answer
The answer is $3 x + 9 y - 19$

$13)$ $x^{2} + 3 x + 10 - x^{2} + 3 x + 2$
Show Answer
The answer is $6 x + 12$

$14)$ $3 x - 12 x + 5 - 8$
Show Answer
The answer is $- 9 x - 3$

$15)$ $4 y + 3 - 2 y + 5 + x + 3 x$
Show Answer
The answer is $2 y + 4 x + 8$

$16)$ $4 x^{2} + 3 - x^{2}$
Show Answer
The answer is $3 x^{2} + 3$

$∙ Evaluating Expressions$
$2 x + 5 when x = 3 \dots$

$∙ Multiplying with Negative Numbers$
$(- 3) (4) = - 12 \dots$

$∙ Adding and Subtracting with Negative Numbers$
$3 - 8 = - 5 \dots$

$∙ Diamond Problems$

$∙ Andymath Homepage$