Question

1. Emmanuel bought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he bought last week. Answer the following questions to find the number of pounds of soil Emmanuel purchased last week. (a) What is the unknown information? (b) Let p represent the unknown information. Write an equation to model the problem. (c) Which number, 10, 11, or 12, will solve the equation in Part (b)? Show your work. (d) How many pounds of potting soil did Emmanuel buy last week? Answer:

Answer 1

Part a) What is the unknown information?

The unknown information is the amount of soil Emmanuel bought last week

Part b) Let p represent the unknown information. Write an equation to model the problem

Let

p------> the amount of soil Emmanuel bought last week

we know that

`2p+4=28`

therefore

the answer Part b) is

An equation to model the problem is equal to
`2p+4=28`

Part c) Which number, 10, 11, or 12, will solve the equation in Part (b)?

Solve the equation

`2p+4=28`

`2p=28-4`

`2p=24`

`p=12`

therefore

the answer part c) is

The number
`12` solve the equation in Part (b)

Part d) How many pounds of potting soil did Emmanuel buy last week?

The answer part d) is

`12`pounds

Answer 2

(a) What is the unknown information? The amount of soil he bought last week.

(b) Let p represent the unknown information. Write an equation to model the problem. 28 ÷ 2 – 4 = p

(c) Which number, 10, 11, or 12, will solve the equation in Part (b)? Show your work. 10. The reason 10 solves the equation is because when you use order of operations, 28 ÷ 2 – 4 = 10.

28 ÷ 2 – 4 =

14 – 4 =

10.