Factoring / distributive property worksheet factor the expressions: 1.) 18 + 27y 2.) 40 + 72b 3.) 40 + 28u 4.) 60 + 24g 5.) 12b + 15 6.) 44p + 8

1.) 18 + 27y =

Rewrite 18 as 9 * 2

Rewrite 27 as 9 * 3

9 * 3y + 9 * 2

Factor out common term 9

9( 3y + 2)  > Answer

2.) 40 + 72b

Rewrite 40 as 8 * 5

Rewrite 72 as 8 * 9

8 * 9b + 8 * 5

Factor out common term 8

8(9b + 5) > Answer

3.) 40 + 28u

Rewrite 40 as 4 * 10

Rewrite 28 as 4 * 7

4 * 7u + 4 * 10

Factor out common term 4

4(7u + 10) > Answer

4.) 60 + 24g

Rewrite 60 as 12 * 5

Rewrite 24 as 12 * 2

12 * 2g + 12 * 5

Factor out common term 12

12(2g + 5) > Answer

5.) 12b + 15

Rewrite 12 as 3 * 4

Rewrite 15 as 3 * 5

3 * 4b + 3 * 5

Factor out common term 3

3(4b + 5)> Answer

6.) 44p + 8

Rewrite 44 as 4  * 11

Rewrite 8  as  4 * 2

4 * 11p + 4 * 2

Factor out common term 4

4(11p + 2) > Answer

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.