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In this lesson, we will learn how to add and subtract algebraic expressions by adding and subtracting like terms.

Q1:

Add οΉ 7 π + 6 π ο 2 to οΉ 5 π + π β 5 π ο 3 2 .

Q2:

Add οΉ π + 2 π β 3 π ο 2 3 to οΉ β 9 π β 3 π + 9 π ο 3 2 .

Q3:

Add οΉ 2 π + 5 π β 3 π ο 3 2 to οΉ 5 π β 8 π + 8 π ο 2 3 .

Q4:

Subtract 1 9 π¦ + 1 8 π₯ from 2 3 π₯ β 2 4 π¦ .

Q5:

Subtract 3 9 π¦ + 4 0 π₯ from 4 7 π₯ β 2 π¦ .

Q6:

Subtract 2 9 π¦ + 2 4 π₯ from 3 3 π₯ β 3 6 π¦ .

Q7:

Subtract 7 π¦ + π§ β 3 π₯ 2 3 from 6 π₯ + 5 π§ β 8 π¦ 3 2 .

Q8:

Add 3 8 π₯ β 3 3 π¦ + 2 8 π§ , 2 4 π¦ β 2 3 π₯ β 2 3 π§ , and 2 4 π₯ β 1 1 π§ β 1 7 π¦ , then subtract the result from 2 6 π₯ β 1 7 π¦ + 1 9 π§ .

Q9:

Add 3 2 π₯ β 4 0 π¦ + 4 5 π§ , 1 4 π¦ β 2 4 π₯ β 2 π§ , and 5 π₯ β 2 0 π§ β 1 7 π¦ , then subtract the result from 8 π₯ β 1 3 π¦ + 1 9 π§ .

Q10:

Simplify οΉ π‘ + 5 ο β οΉ 2 π‘ + 2 ο 2 2 .

Q11:

Find π΄ β π΅ given that π΄ = 7 π β 4 π + 5 2 and π΅ = 3 π β 4 π + 1 2 .

Q12:

Find π΄ β π΅ given π΄ = 5 π₯ β 3 π₯ 3 and π΅ = β 6 π₯ + 3 π₯ 2 .

Q13:

Simplify οΉ 2 π β 4 π β 9 ο + οΉ 5 π β 3 π + 1 ο 3 2 3 .

Q14:

Find π΄ + π΅ given that π΄ = 7 π¦ β 4 π¦ + 5 2 and π΅ = 3 π¦ β 4 π¦ + 1 2 .

Q15:

Simplify οΉ 8 π¦ β 3 π¦ + 2 ο β οΉ 3 π¦ + 5 π¦ + 1 ο ο¨ ο¨ .

Q16:

Fady had coins and gave coins to Ramy. How many coins does Fady have left?

Q17:

Simplify ( 2 π + 1 ) β ( 3 π + 2 ) .

Q18:

Find the area of the shaded region.

Q19:

Simplify ( 2 π + 1 ) + ( 3 π + 2 ) .

Q20:

Find π΄ + π΅ given π΄ = 5 π β 3 π 3 and π΅ = β 6 π + 3 π 2 .

Q21:

Subtract 6 π₯ β 4 π¦ β π§ 3 2 from the sum of 9 π₯ + 8 π¦ β 7 π§ 3 2 and 8 π₯ β 9 π¦ β 6 π§ 3 2 .

Q22:

Subtract β π₯ β 3 π¦ + 8 π§ 2 4 5 from the sum of π₯ β 8 π¦ + π§ 2 4 5 and 7 π₯ β 3 π¦ β 2 π§ 2 4 5 .

Q23:

Find an expression for the difference between the areas of the two figures below.

Q24:

Subtract οΉ β 8 π₯ π¦ + 2 π₯ π¦ + 6 π₯ π¦ ο 2 3 3 4 from οΉ β π₯ π¦ β 8 π₯ π¦ + 9 π₯ π¦ ο 4 3 3 2 .

Q25:

Add 7 π π β 2 π π β π π 2 2 3 2 to 8 π π β 9 π π β 5 π π 3 2 2 2 .

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