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In this lesson, we will learn how to simplify polynomial expressions by adding and subtracting like terms.

Q1:

Simplify 7 + ( 2 π₯ + 1 5 ) .

Q2:

Simplify 3 π₯ β 5 π₯ + 5 π₯ + 8 .

Q3:

Simplify the expression 6 π₯ + 2 π¦ β 3 π₯ β 4 π¦ .

Q4:

Simplify the expression β 3 π₯ β 5 π₯ β 9 π₯ β 1 1 π₯ .

Q5:

Simplify the expression 3 4 π₯ + 2 3 π¦ β 1 5 π₯ β 3 4 π¦ .

Q6:

Simplify β 4 π₯ + 8 π¦ β 2 π§ + π₯ β 2 π¦ β 4 π§ 4 2 4 2 .

Q7:

The perimeter of a triangle is οΉ β 4 π₯ π¦ + 9 π₯ π¦ β 3 π₯ π¦ ο 4 5 2 5 2 c m and the lengths of two of its sides are οΉ β 5 π₯ π¦ β 6 π₯ π¦ ο 4 5 2 c m and οΉ 2 π₯ π¦ + 4 π₯ π¦ ο 2 5 2 c m . Express the length of the third side in terms of π₯ and π¦ .

Q8:

Simplify οΉ 4 π + 2 π π β 4 π ο + οΉ 6 π + 8 π π β 3 π ο β οΉ 1 0 π π β 5 π β 2 π ο + οΉ 1 2 π π + 5 π β 5 π ο 2 2 2 2 2 2 2 2 .

Q9:

Add 7 π₯ π¦ 7 , β 2 π¦ π₯ 7 , β 9 π¦ π₯ 7 , and 8 π₯ π¦ 7 .

Q10:

Simplify ( 6 π₯ β 2 π§ + 8 π¦ ) β ( 4 π§ β 8 π₯ + 5 π¦ ) .

Q11:

Simplify οΉ 3 π₯ + 2 π₯ π¦ β 3 π¦ ο β οΉ 5 π₯ π¦ β 2 π₯ β 3 π¦ ο 2 2 2 2 .

Q12:

Simplify 1 0 + π₯ + 1 1 .

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