# Algebraic Expressions Addition: Worksheets, Online Test and Calculators

Algebraic expressions addition worksheets, solved worksheet problems or exercises with step-by-step work, formative assessment as online test, calculator and more learning resources to learn, practice, assess and master the basic math skills of algebra.

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Solved Worksheet Problems
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1
2x-2y+2z=30
Solution
(x-y+z=10) + ( x-y+z=20 )
Variable x terms are
(1x) + (1x)
= 2x

Variable y terms are
(-1y) + (-1y)
= -2y

Variable z terms are
(1z) + (1z)
= 2z

Constant  terms are
(10) + (20)
= 30

Hence the Equation is   2x-2y+2z=30
2
6x+14y=19
Solution
(3x+10y=1 ) + ( 3x+4y=18 )
Variable x terms are
(3x) + (3x)
= 6x

Variable y terms are
(10y) + (4y)
= 14y

Constant  terms are
(1) + (18)
= 19

Hence the Equation is   6x+14y=19
3
8y+8x=49
Solution
(4y+5x=9) + ( 4y+3x=40 )
Variable y terms are
(4y) + (4y)
= 8y

Variable x terms are
(5x) + (3x)
= 8x

Constant  terms are
(9) + (40)
= 49

Hence the Equation is   8y+8x=49
4
14x+14y=70
Solution
(5x+12y=34) + ( 9x+2y=36 )
Variable x terms are
(5x) + (9x)
= 14x

Variable y terms are
(12y) + (2y)
= 14y

Constant  terms are
(34) + (36)
= 70

Hence the Equation is   14x+14y=70
5
9m+12n+3p=59
Solution
(5m+6n+p=19) + ( 4m+6n+2p=40 )
Variable m terms are
(5m) + (4m)
= 9m

Variable n terms are
(6n) + (6n)
= 12n

Variable p terms are
(1p) + (2p)
= 3p

Constant  terms are
(19) + (40)
= 59

Hence the Equation is   9m+12n+3p=59
6
7s+13t=14
Solution
(6s+7t=2) + ( s+6t-12=0 )
Variable s terms are
(6s) + (1s)
= 7s

Variable t terms are
(7t) + (6t)
= 13t

Constant  terms are
(2) + (12)
= 14

Hence the Equation is   7s+13t=14
7
12y+8z=24
Solution
(10y+5z=1) + ( 2y+3z=23 )
Variable y terms are
(10y) + (2y)
= 12y

Variable z terms are
(5z) + (3z)
= 8z

Constant  terms are
(1) + (23)
= 24

Hence the Equation is   12y+8z=24
8
13y+8x-6z=11
Solution
(4y+2x-2z=4) + ( 6x+9y-4z=7 )
Variable y terms are
(4y) + (9y)
= 13y

Variable x terms are
(2x) + (6x)
= 8x

Variable z terms are
(-2z) + (-4z)
= -6z

Constant  terms are
(4) + (7)
= 11

Hence the Equation is   13y+8x-6z=11
9
15a+14b=-3
Solution
(9a+8b=0) + ( 6a+6b=-3 )
Variable a terms are
(9a) + (6a)
= 15a

Variable b terms are
(8b) + (6b)
= 14b

Constant  terms are
(0) + (-3)
= -3

Hence the Equation is   15a+14b=-3
10
3x+5y+3z=8
Solution
(-2x+2y+z=1) + ( 5x+3y+2z=7 )
Variable x terms are
(-2x) + (5x)
= 3x

Variable y terms are
(2y) + (3y)
= 5y

Variable z terms are
(1z) + (2z)
= 3z

Constant  terms are
(1) + (7)
= 8

Hence the Equation is   3x+5y+3z=8
11
7s-5t=14
Solution
(2s-3t=2) + ( 5s-2t-12=0 )
Variable s terms are
(2s) + (5s)
= 7s

Variable t terms are
(-3t) + (-2t)
= -5t

Constant  terms are
(2) + (12)
= 14

Hence the Equation is   7s-5t=14
12
24y-2z=49
Solution
(12y-15z=19) + ( 12y+13z=30 )
Variable y terms are
(12y) + (12y)
= 24y

Variable z terms are
(-15z) + (13z)
= -2z

Constant  terms are
(19) + (30)
= 49

Hence the Equation is   24y-2z=49
13
23y+18x-14z=31
Solution
(14y+2x-12z=14) + ( 16x+9y-2z=17 )
Variable y terms are
(14y) + (9y)
= 23y

Variable x terms are
(2x) + (16x)
= 18x

Variable z terms are
(-12z) + (-2z)
= -14z

Constant  terms are
(14) + (17)
= 31

Hence the Equation is   23y+18x-14z=31
14
15a+14b+3c=17
Solution
(9a+8b+c=20) + ( 6a+6b+2c=-3 )
Variable a terms are
(9a) + (6a)
= 15a

Variable b terms are
(8b) + (6b)
= 14b

Variable c terms are
(1c) + (2c)
= 3c

Constant  terms are
(20) + (-3)
= 17

Hence the Equation is   15a+14b+3c=17
15
-7x+25y+15z=71
Solution
(-12x+12y+3z=1) + ( 5x+13y+12z=70 )
Variable x terms are
(-12x) + (5x)
= -7x

Variable y terms are
(12y) + (13y)
= 25y

Variable z terms are
(3z) + (12z)
= 15z

Constant  terms are
(1) + (70)
= 71

Hence the Equation is   -7x+25y+15z=71
16
7x+9y-7z=30
Solution
(3x+4y-5z=10) + ( 4x+5y-2z=20 )
Variable x terms are
(3x) + (4x)
= 7x

Variable y terms are
(4y) + (5y)
= 9y

Variable z terms are
(-5z) + (-2z)
= -7z

Constant  terms are
(10) + (20)
= 30

Hence the Equation is   7x+9y-7z=30
17
16x+24y=19
Solution
(3x+10y=1 ) + ( 13x+14y=18 )
Variable x terms are
(3x) + (13x)
= 16x

Variable y terms are
(10y) + (14y)
= 24y

Constant  terms are
(1) + (18)
= 19

Hence the Equation is   16x+24y=19
18
-8y+2x+10z=49
Solution
(-4y+5x+8z=9) + ( -4y-3x+2z=40 )
Variable y terms are
(-4y) + (-4y)
= -8y

Variable x terms are
(5x) + (-3x)
= 2x

Variable z terms are
(8z) + (2z)
= 10z

Constant  terms are
(9) + (40)
= 49

Hence the Equation is   -8y+2x+10z=49
19
34x+24y=70
Solution
(15x+12y=34) + ( 19x+12y=36 )
Variable x terms are
(15x) + (19x)
= 34x

Variable y terms are
(12y) + (12y)
= 24y

Constant  terms are
(34) + (36)
= 70

Hence the Equation is   34x+24y=70
20
29m-32n+5p=19
Solution
(15m-16n+3p=19) + ( 14m-16n+2p=0 )
Variable m terms are
(15m) + (14m)
= 29m

Variable n terms are
(-16n) + (-16n)
= -32n

Variable p terms are
(3p) + (2p)
= 5p

Constant  terms are
(19) + (0)
= 19

Hence the Equation is   29m-32n+5p=19

Algebraic expressions addition worksheet is the largest collection of practice problems and solved exercises which can be served as homework, classwork or assignment problems for the students to learn, practice, assess, iterate and master the skills of how to solve such algebra problems in basic mathematics.

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