Most Important Variable
Writing Variable Expressions
Simplifying Variable Expressions
Writing Mathematical Sentences
Guess and Check
100

Which is the most important variable to the problem?

Grandma Kim has a jewelry box full of  72 necklaces. She divides them evenly between her 6 grandkids. How many ties does each grandkid get.

The number of ties each grandkid gets

100

Translate the phrase into a variable expression.

... the number of books in the library minus the 60 checked out ...

b - 60

100

Simplify the variable expression.

m - 8 + 143 - 5


m + 30


100

Write a mathematical sentence that fits the problem

How far will you drive if you drive 3 hours at 63 miles per hour?

d = 3 * 63

100

is the number 2 in the solution set of 14x = 28?

Yes

200

Which variable is most important to the following problem?

A tentmaker has 60,000 tents in stock. The Army decides to order 350 tents for each of its 200 brigades. Will the tentmaker have enough tents in stock?

the number of tents the Army orders

200

Translate the phrase into a variable expression. 

... the value of the company divided by 96884 shares...

c/96884

200

Simplify the variable expression as much as possible.

(4*2)g + 6 - 2g - 1

6g + 5 

200

Write a mathematical sentence that fits the problem.

The original price of a computer was reduced by 120 dollars. The new, discounted price is 899 dollars.

p - 120 = 899

200

Is the number 16 in the solution set of x + 70 = 54?

no

300

Which variable is most important to the following problem?

At 9 a.m., a wind speed of 20 miles per hour was recorded. After that, the wind speed was recorded every hour. Each measurement showed an increase in wind speed of 3 miles per hour. The strongest wind was recorded at 4 p.m. After that, the wind speeds started to decrease. How long did it take for the wind speed to hit its peak?

the number of hours it took for the wind speed to reach its maximum

300

Translate the phrase into a variable expression. 


... the product of 40 and distance to the finish line...

40d or 40 * d

300

Simplify the variable expression as much as possible. 

3a - 6b + 7 - b + 6a

9a - 7b + 7

300

Write a mathematical sentence that fits the problem. 

There are 21 people standing in line at a taxi rank. Each time a taxi comes, 3 people get in. How many taxis are needed to carry all 21 people?

3t = 21

300

Is the number -9 in the solution set of x + 12 <=8

yes

400

Which variable is most important to the following problem?

A company has 95,000 shares of stock to sell. A stockbroker decides to buy 150 shares of the stock for each of her 250 clients. How many shares will the company have left to sell after the stockbroker makes her purchase?

the number of shares remaining after the stockbroker buys shares for her customers

400

Translate the phrase into a variable expression.

... 40 more than the price of a concert ticket ...

t + 40

400

Simplify the variable expression below as much as possible.

(3*5)z + 32 - 9z + 16

6z + 48

400

Write a mathematical sentence that fits the problem.

Henry had charged 933 dollars to his credit card. Even after the cost of his next purchase, he was still under his credit limit of 1500 dollars.


933 + c <= 1500

400

Is the number 45 in the solution set of 5x >= 190

No