Jackson gave Lena this expression to evaluate: 14(8 + 12). Lena said that to evaluate the expression was simples
multiply the factors 14 and 20. Jackson told Lena she was wrong. He solved it by fir
as wrong. He solved it by finding the product of 14 and 8 and then
adding that to the product of 14 and 12.
a. Evaluate the expression using each student's method.
Lena's Method
Jackson's Method
b. Who was right in this discussion? Why?
*Refer to Grade 6, Module 4

Step-by-step explanation:

Lena's method by prime

= 14 = 7 x 2 = 2/7        Factors  or simply just 14 x 20 =280

= 20 = 10 x 2 = 2/10    Factors

= 2 x 2 =4                    Cross multiply

= 7 x 10 = 70

Jackson's method by algebra and by adding to the product of 14 and 12

14(8+12)

112+ 160

= 280

Jackson was right in this discussion, as the process within-algebraic shows clarity of the two multiples; being 154 x 8 and 14 x 12, without this we cannot check for mistakes, and we cannot learn from correct answers as often.

  n=   0.0000 - 0.3750 i  

  n=   0.0000 + 0.3750 i

step-by-step explanation:

one of these should be correct

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions