The worksheet is an illustration of algebra. Algebra uses symbols (i.e. variables) and mathematical operations for its operations.
The text from the results of the expressions is: HE MADE A COMPLETE POOL OF HIMSELF
[tex]E).\ 6x + 9 + 2x[/tex]
Collect like terms
[tex]6x + 9 + 2x = 6x+2x + 9[/tex]
[tex]6x + 9 + 2x = 8x + 9[/tex]
[tex]S).\ 7 + 3x + 4[/tex]
Collect like terms
[tex]7 + 3x + 4 =3x + 7 + 4[/tex]
[tex]7 + 3x + 4 =3x + 11[/tex]
[tex]O).\ 8 + 2x + 7x[/tex]
Evaluate common terms
[tex]8 + 2x + 7x = 8 + 9x[/tex]
Rewrite as:
[tex]8 + 2x + 7x = 9x+8[/tex]
[tex]L).\ 8x + 7 + 3x + 2[/tex]
Collect like terms
[tex]8x + 7 + 3x + 2 = 8x + 3x + 7 +2[/tex]
[tex]8x + 7 + 3x + 2 = 11x + 9[/tex]
[tex]A).\ 5x + x[/tex]
Evaluate common terms
[tex]5x + x = 6x[/tex]
[tex]F).\ 9x + 8 + x[/tex]
Collect like terms
[tex]9x + 8 + x = 9x + x + 8[/tex]
[tex]9x + 8 + x = 10x + 8[/tex]
[tex]E).\ 6 + 4x + 1 + 3x[/tex]
Collect like terms
[tex]6 + 4x + 1 + 3x = 3x + 4x + 1 + 6[/tex]
[tex]6 + 4x + 1 + 3x = 7x + 7[/tex]
[tex]O).\ 3t + 4u + 6t[/tex]
Collect like terms
[tex]3t + 4u + 6t = 3t + 6t + 4u[/tex]
[tex]3t + 4u + 6t = 9t + 4u[/tex]
[tex]A).\ 9u + 4 + 8t + 3u[/tex]
Collect like terms
[tex]9u + 4 + 8t + 3u =8t + 3u + 9u + 4[/tex]
[tex]9u + 4 + 8t + 3u =8t + 12u + 4[/tex]
[tex]I).\ 7 + u + 9t + 5u[/tex]
Collect like terms
[tex]7 + u + 9t + 5u = 9t + 5u + u +7[/tex]
[tex]7 + u + 9t + 5u = 9t + 6u +7[/tex]
[tex]P).\ 6t + 4u + t + 9u[/tex]
Collect like terms
[tex]6t + 4u + t + 9u = 6t + t + 4u + 9u[/tex]
[tex]6t + 4u + t + 9u = 7t + 13u[/tex]
[tex]E).\ 2t + 4 + 8u + 2t[/tex]
Collect like terms
[tex]2t + 4 + 8u + 2t = 2t + 2t +8u+ 4[/tex]
[tex]2t + 4 + 8u + 2t = 4t +8u+ 4[/tex]
[tex]M).\ 3u + 7t + 9t + u[/tex]
Collect like terms
[tex]3u + 7t + 9t + u = 7t + 9t +3u + u[/tex]
[tex]3u + 7t + 9t + u = 16t +4u[/tex]
[tex]F).\ 8t + 1 + u + 12[/tex]
Collect like terms
[tex]8t + 1 + u + 12 = 8t + u + 1 +12[/tex]
[tex]8t + 1 + u + 12 = 8t + u + 13[/tex]
[tex]L).\ 4x + 2y + 7 + 4x + 3y[/tex]
Collect like terms
[tex]4x + 2y + 7 + 4x + 3y = 4x + 4x + 2y + 3y + 7[/tex]
[tex]4x + 2y + 7 + 4x + 3y = 8x + 5y + 7[/tex]
[tex]E).\ 8y + 6 + 8x + y + 3[/tex]
Collect like terms
[tex]8y + 6 + 8x + y + 3 = 8x + 8y + y + 6 + 3[/tex]
[tex]8y + 6 + 8x + y + 3 = 8x + 9y + 9[/tex]
[tex]D).\ 7x + 4x + 6y + x + 9y[/tex]
Collect like terms
[tex]7x + 4x + 6y + x + 9y = 7x + 4x + x + 6y + 9y[/tex]
[tex]7x + 4x + 6y + x + 9y = 12x + 15y[/tex]
[tex]O).\ 2x + 5 + 7y + 8x + 8[/tex]
Collect like terms
[tex]2x + 5 + 7y + 8x + 8 =2x + 8x+ 7y + 8+ 5[/tex]
[tex]2x + 5 + 7y + 8x + 8 =10x+ 7y + 13[/tex]
[tex]M).\ 3y + 7 + 5y + y + 1[/tex]
Collect like terms
[tex]3y + 7 + 5y + y + 1 =3y + 5y + y + 7 + 1[/tex]
[tex]3y + 7 + 5y + y + 1 =9y + 8[/tex]
[tex]H).\ 6x + 6y + 6x + 7y + 4y[/tex]
Collect like terms
[tex]6x + 6y + 6x + 7y + 4y = 6x + 6x + 6y + 7y + 4y[/tex]
[tex]6x + 6y + 6x + 7y + 4y = 12x + 17y[/tex]
[tex]T).\ \frac 12x + \frac 12x + 6y[/tex]
Evaluate like terms
[tex]\frac 12x + \frac 12x + 6y = x + 6y[/tex]
[tex]E).\ \frac 12n +3w + \frac 12n + w[/tex]
Collect like terms
[tex]\frac 12n +3w + \frac 12n + w = \frac 12n + \frac 12n+3w + w[/tex]
[tex]\frac 12n +3w + \frac 12n + w = n+4w[/tex]
[tex]M).\ n + 8w + 5w + 3 + 5w[/tex]
Collect like terms
[tex]n + 8w + 5w + 3 + 5w = n + 8w + 5w + 5w+ 3[/tex]
[tex]n + 8w + 5w + 3 + 5w = n + 18w+ 3[/tex]
[tex]O).\ 4w + 5 + 3n + 6w + 7[/tex]
Collect like terms
[tex]4w + 5 + 3n + 6w + 7 =3n + 4w +6w+ 5 + 7[/tex]
[tex]4w + 5 + 3n + 6w + 7 =3n + 10w+ 12[/tex]
[tex]C).\ 2n + 4w + 5n + w + 9n[/tex]
Collect like terms
[tex]2n + 4w + 5n + w + 9n = 2n + 5n + 9n+ 4w + w[/tex]
[tex]2n + 4w + 5n + w + 9n = 16n + 5w[/tex]
[tex]H).\ w + w + n + 8w + 6[/tex]
Collect like terms
[tex]w + w + n + 8w + 6 = n + w+w+8w+6[/tex]
[tex]w + w + n + 8w + 6 = n + 10w+6[/tex]
[tex]L).\ 6n + 2n + 7w + 2 +3n[/tex]
Collect like terms
[tex]6n + 2n + 7w + 2 +3n = 6n + 2n +3n+ 7w + 2[/tex]
[tex]6n + 2n + 7w + 2 +3n = 11n+ 7w + 2[/tex]
[tex]P).\ \frac 32w + 7n + \frac 12w[/tex]
Collect like terms
[tex]\frac 32w + 7n + \frac 12w = 7n + \frac 32w + \frac 12w[/tex]
[tex]\frac 32w + 7n + \frac 12w = 7n + 2w[/tex]
When the alphabets of the results are brought together, the text is:
HEMADEACOMPLETEPOOLOFHIMSELF
Add space; so, the text makes sense
HE MADE A COMPLETE POOL OF HIMSELF
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