[Solved] MATH062N Week 3 Evaluating Expressions with the Distributive Property

Question 1

Simplify: 11(3x+2)−3(x+1).

Question 2

When d=3, evaluate

21−4(−6d+9)

and

21−4⋅(−6d)−4⋅9

to show that

21−4(−6d+9)=21−4⋅(−6d)−4⋅9

Question 3

When z=−3, evaluate 2(7z+8) and 2⋅7z+2⋅8 to show that 2(7z+8)=2⋅7z+2⋅8.

Question 4

Simplify: 7(2q+1)+(3q−5).

Question 5

When g=1, evaluate 1/3(6g−18) and 1/3⋅6g−1/3⋅18 to show that 1/3(6g−18)=1/3⋅6g−1/3⋅18.

Question 6

When y=−5, evaluate

−(6y+15)−6(4y+1)

and

−6y−15−6⋅4y−6⋅1

to show that

−(6y+15)−6(4y+1)=−6y−15−6⋅4y−6⋅1

Question 7

Simplify: 5(1/6a+5/7).

Question 8

Simplify: 2(5y−1)+10y(1−y).

 

Solution

Question 1

Simplify: 11(3x+2)−3(x+1).

Ans: 30x + 19

Question 2

When d=3, evaluate

21−4(−6d+9)

and

21−4⋅(−6d)−4⋅9

to show that

21−4(−6d+9)=21−4⋅(−6d)−4⋅9

Ans: 21 – 4(-6d + 9) = 57, 21 – 4⋅ (-6d) -4⋅9 = 57……………please follow the link below to purchase the solution at $4