Writing Algebraic Expressions

by Felix Gabathuler

| 16 Questions Convince me in your Notebook!

1

1

MATH PRACTICE ALERT! Simplify the following expression in your notebook and then show me below. Circle your like terms.

2

1

MATH PRACTICE ALERT! Simplify the following expression in your notebook and then show me below. Circle your like terms.

3

1

The cost of either a can of gourmet chili or a can of hearty soup is $1.75. Ton Nam bought cans of chili and soup. He wrote an expression to describe the purchase where c represents the number of cans of chili and s represents the number of cans of soup. Write that expression using the distributive property.

4

1

Last year, a drugstore chain introduced a website to provide customers with online shopping. This year, the store experienced a twenty-five percent decline of in-store customers. Write an algebraic expression to represent this scenario where c represents in-store cutomers.

5

1

Grace and Hurley both work in a store that sells fine china and stemware. The workers carried boxes that weighed 0.80 kg each. In addition, Grace carried a box that weighed 3.25 kg.

Let G represent the number of boxes carried by Grace and H represent the number of boxes carried by Hurley.

Write an expression which describes the total weight of the boxes carried that involves the distributive property.

6

1

A radioactive element has a half-life of two hours, which means that half of the material decays in each two-hour period. If there are 40 grams at the beginning, how many grams will be left at the end of a 4 hour period?

7

1

Darrell collected a raffle prize of $125. He split the price of the raffle ticket equally with his three brothers. How much of the prize does Darrell owe each of his brothers?

8

1

Find the sum:

9

1

Find the difference:

10

1

You buy the same number of brushes, rollers, and paint cans. Write an expression in simplest form that represents the total amount of money you spend for painting supplies. Show your work!!

11

1

Ms. Fit would like to have a brick border for one side of her garden. In order to make the brick border long enough, she must repeat the basic pattern a number of times along the garden’s side of length 16 m.

She chooses the pattern

where each brick measures 40cm x 20cm.

Which expression shows the number of bricks needed for the border?

A

D

B

C

12

1

Bonnie works at a jewelry store and earns a 10% commission on each piece of jewelry she sells. One day, she sells $1250 worth of jewelry. Her boss gives her the commission she earned that day, and Bonnie spends that money to buy a new dress. After buying the dress, she sees a pair of shoes she would like to get, but she doesn’t have enough money to buy them.

Look at the problem-solving steps shown below. Arrange the steps in the correct order to find out how much more money Bonnie needs in order to buy the shoes.

Step x: Find out how much the shoes cost and subtract the amount of money Bonnie had left after buying the dress.

Step y: Find out how much Bonnie spent on the dress and subtract that from the amount of money she earned from commission.

Step z: Find how much money Bonnie earned from commission.

What is the correct order of the problem-solving steps?

13

1

Factor out the coefficient of the variable:

14

1

Factor out the coefficient of the variable:

15

1

Write an expression in simplest form for the perimeter of the exercise mat.

16

1

Read and answer the scenario below.

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