5.2.2 Algebraic Expressions, PT3 Focus Practice


Question 6:
Simplify −4( 5x−3 )+7x−1.

Solution:
−4( 5x−3 )+7x−1 =−20x+12+7x−1 =−13x+11

Question 7:
( 3x−2y )−( x+4y )

Solution:
( 3x−2y )−( x+4y ) =3x−2y−x−4y =2x−6y

Question 8:
Simplify −3( 2a−4b )− 1 3 ( 6a−15b )

Solution:
−3( 2a−4b )− 1 3 ( 6a−15b ) =−6a+12b−2a+5b =−8a+17b

Question 9:
1 3 ( −2x+6y−9z )− 1 6 ( −4x−18y+24z )

Solution:
1 3 ( −2x+6y−9z )− 1 6 ( −4x−18y+24z ) = − 2 3 x +2y−3z + 2 3 x +3y−4z =5y−7z

Question 10:
1 2 ( a+6bc )− 1 5 ( 3+2bc−2a )

Solution:
1 2 ( a+6bc )− 1 5 ( 3+2bc−2a ) = 1 2 a+3bc− 3 5 − 2 5 bc+ 2 5 a = 5a+4a 10 + 15bc−2bc 5 − 3 5 = 9a 10 + 13bc 5 − 3 5

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