Algebra I - Unit 1: Topic 1 – Writing Expressions Warm Up – Writing Expressions

Write an algebraic expression for each verbal expression below:

Verbal Algebraic

The product of 8 and x

22 increased by twice a number

4 times as many wins as last season

The product of 6 and b plus half of a

19 less than 5 times a number

Algebra I - Unit 1: Topic 1 – Writing Expressions Student Notes - Writing Expressions pp 6 - 8 What is an expression? _______________________________________________________________________

Math Talk!

Algebraic Expression - Numerical Expression –

Examples of Expressions: Constant - Variable -

How do you translate

words into an algebraic expression?

Addition

Subtraction

Multiplication

Division

Parenthesis

Exponents

Algebra I - Unit 1: Topic 1 – Writing Expressions

Remember! Complementary Angles- Supplementary Angles-

Write a verbal expression for each algebraic expression given below:

1. 3

5x

2. 12n + 4

3. 4 5m n� 4. 23 5x y� Write an algebraic expression for each verbal expression. 5. The measure of an angle is (5 )qx . What is the measure of that

angle’s complement? 6. A square has a side length of s.  What is it’s perimeter? 7. Three plus the quotient of 7 and a number subtracted from two times the same number. 8. Chris wants to buy his girlfriend a charm bracelet for her birthday. The cost of the bracelet is $85, plus

$15.25 for each charm. Write an expression to find the cost of the bracelet if Chris purchases c, charms. 9. Lara wants to buy a Rock Band game that is

on sale for 35% off the regular price. The regular price of the game is p dollars. Which expression represents the sale price of the game?

A. 𝑝 − 0.35𝑝 B. 𝑝 + 0.35𝑝 C. 𝑝 − 35𝑝 D. 0.35𝑝

10. Shany earns $545.25 less than 2.5 times her brother’s monthly salary.  Write an expression for Shany’s salary in terms of her brother’s monthly salary.

Equation ____________________________________________________________________________________ Evaluate _________________________________________________________________________

Algebra I - Unit 1: Topic 1 – Writing Expressions

Evaluate the following expressions for34

a , 2.4b and 6c .

11. 4bc a� 12.

0.5c a

a� 13. 1

( )3

ac b c� � 14. ( ).3c b a� � �

15. Look back at problem #9. Evaluate the correct algebraic expression from this problem, if the regular price of Lara’s game, p, is $55.00. 16. Look back at problem #10.  Evaluate the expression for a month that Shany’s brother earns $2600.00. Answer the following. 17. Which problem situation below could be represented by the expression 64 – x ?

A Amber drove 64 miles to Eli’s house and then x miles to Sam’s house.  How many miles did she drive altogether?

B Emilio has $64 to spend. He saved x dollars more. How much does he have? C Kim bought a carton with 64 ounces of milk. She drank x ounces. How much is left for her older brother,

Mark? D John ran 64 miles on Monday and x miles on Tuesday. What is the average number of miles he ran on

both days? 18. The area of any rectangle is length, 𝑙, times width, 𝑤.

A Write an expression for the area of a rectangle.

B The length of a rectangle is 4 units greater than its width. Write an expression for the length in terms of w.

C Write a new expression for the area of the rectangle using the expression from Part b in terms of w. 19. Salina’s Market sells avocados for $0.35 each.  Which expression best represents the cost of x avocados?

A 0.35 B 0.35 + x C 0.35x D 0.35 - x

Algebra I - Unit 1: Topic 1 – Writing Expressions Practice – Writing Expressions pp 6-8 Name ____________________________________ Date _____ Pd. _____ 1. Raquel earns $150 per week at Forever 21 plus 15% commission on her total sales. Write an expression for

Raquel’s total sales.

2. Angelina rents a bounce house for a birthday party for a delivery fee of $100 plus a rental fee of $20 per hour. Write an expression for the cost of renting the bounce house for x, the number of hours.

3. Nate has written 4 paragraphs of an essay for his English class so far. He can write a paragraph every 23

of an

hour.  Write an expression for the number of paragraphs in Nate’s essay after h, hours.

4. Brock is six feet tall. He climbs a ladder to paint some trim on his house. For each rung that he climbs, Brock is 1.2 feet higher above the ground. Which expression could you use to calculate the distance from the top of Brock’s head to the ground if r represents the number of ladder rungs he has climbed?

A 1.2 6r � B 1.2r C 6r � D 6 1.2r �

5. An objects weight on Mars is 38% of it’s weight on Earth.   A If an object weighs p, pounds on Earth, write an expression for its weight on Mars.

B Raven weighs 120 pounds and her bike weighs 38 pounds. How much would Raven and her bike weigh on Mars? (round your answer to the nearest whole pound)

Evaluate the following expressions for a=3, b=4, and c=2:

6. (0.25)a c� 7. 13

ab b� 8. 8ab

9. Which situation is best represented by the algebraic expression 2004x

� ?

A Renee earned $200 creating a website and a 20% advance on the next website she creates for the same company.

B Joe had $200 and spent a fourth of it on a Hawaiian Falls season pass C Skip is watching his calorie intake. He ate a 200 calorie breakfast bar and shared a pizza with 3 of his

friends. D There is a $200 set up fee for making T-shirts and a fourth of the cost is split between anyone

ordering a shirt.