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5.2.2 Algebraic Expressions, PT3 Focus Practice


Question 6:
Simplify 4(5x3)+7x1.

Solution:
4(5x3)+7x1=20x+12+7x1=13x+11

Question 7:
(3x2y)(x+4y)

Solution:
(3x2y)(x+4y)=3x2yx4y=2x6y

Question 8:
Simplify 3(2a4b)13(6a15b)

Solution:
3(2a4b)13(6a15b)=6a+12b2a+5b=8a+17b

Question 9:
13(2x+6y9z)16(4x18y+24z)

Solution:
13(2x+6y9z)16(4x18y+24z)=23x+2y3z+23x+3y4z=5y7z

Question 10:
12(a+6bc)15(3+2bc2a)

Solution:
12(a+6bc)15(3+2bc2a)=12a+3bc3525bc+25a=5a+4a10+15bc2bc535=9a10+13bc535

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