Algebra 4.5

Aug 23, 2023

Wednesday

SWBAT write algebraic expressions and equations from given statements

Multiple Choice

A mathematical sentence in which there are 2 expressions on either sided of an equal sign.

• Expression

• Term

• Equation

• Operator

Multiple Choice

What is a variable in algebra?

• A fixed value

• Something that is unknown

• A number

• Final value

Multiple Choice

The number of days in "w" weeks

• 7 + w

• 7 - w

• 7w

• w - 7

Multiple Choice

10 divided by m can be written as

• $$m\div10$$

• $$10\ m$$

• $$10m$$

• $$10\div m$$

Multiple Choice

3 y

• product of 3 and y

• sum of 3 and y

• difference of 3 and y

• 3 divided by y

How Key points

1. Read the statement.

2. Understand the statement.

3. Identify the key words

4. Using key words, identify the given and the unknown

5. Write the expression/equation based on the statement.

​NOTE: The words "is", "was", "are", "equals" denote that we have to write an equation. absence of these words will mean that we are writing an expression

​A number decreased by 5 is 15

​INM - Question 1

​Thrice a number is fifteen.

​INM - Question 2

​How old was Susan 4 years ago?

​INM - Question 3

PRACTICE TIME!

• Solve each question in your notebook to show your work.

• Solve each question independently.

Multiple Choice

Two less than a number n is fifty two

• n - 2 = 52

• 2 - n = 52

• 52 - n = 2

• n - 54 = 2

Multiple Choice

Three less than a number is twelve.

• x - 12 = 3

• 3 - x = 12

• 12 - x = 3

• x - 3 = 12

Multiple Choice

The sum of x and ten is twenty

• x + 10 = 10

• x - 10 = 20

• x = 10 + 20

• x + 10 = 20

Multiple Choice

A number five times is twenty five.

• $$5\ +\ n\ =\ 25$$

• $$5\ -\ n\ =25$$

• $$5n\ =\ 25$$

• $$5\div n\ =\ 25$$

Fill in the Blank

Bikash is twice as old as Raju. Write Bikash's age in terms of Raju's age. Use y as a variable

Multiple Choice

n multiplied by 2 and 1 subtracted from the product

• 2n - 1

• 1 - 2n

• n - 2 - 1

• 1 +2 - n

Multiple Choice

A number decreased by 16 is 26.

• n + 16 = 26

• n - 16 = 26

• n + 16 = -26

• n - 16 = -26

Multiple Choice

One-fourth of a number is 60.

• $$4x=60$$

• $$x=60$$

• $$\frac{1}{4}x\ =\ 60$$

• $$60\ x\ =\ 4$$

Multiple Choice

Twice a number is 346.

• $$2x=346$$

• $$x+2=346$$

• $$x-2=346$$

• $$x\ \div\ 2\ =\ 346$$

Multiple Choice

Haraba owns some sheep. After selling 34 of them in the market, he still has 176 sheep with him. How many sheep did he have at first?

• x + 176 = 34

• x - 176 = 34

• x + 34 = 176

• x - 34 = 176

Open Ended

Take Sarita’s present age to be y years

(i) What will be her age 5 years from now?

(ii) What was her age 3 years back?

(iii) Sarita’s grandfather is 6 times her age. What is the age of her grandfather?

(iv) Grandmother is 2 years younger than grandfather. What is the grandmother's age?

(v) Sarita’s father’s age is 5 years more than 3 times Sarita’s age. What is her father's age?