Solving Equations
Writing Equations, Expressions, and Inequalities
Independent / Dependent
Inequalities
Vocabulary
100

Solve for x: 

x - 29 = 26

x = 55 

100

Cheryl gets paid $8 per hour, h at her job at the record store.  She made a total of $96 last week.  Write an  equation to show how many hours she worked last week.

a. 96h=8

b.8h=96

c.h/96=8

d.h/8=96

b.8h=96

100

Name the independent variable in this situation:  

- The number of cats living at my house

- The number of fur balls found under the couch 

The number of cats living at my house 

100

Write an inequality for this situation:  Maya scored fewer than 7 goals 

g < 7 

100

What is the name of this inequality symbol:  <

Less than 

200

Solve for x: 

40x = 20

x = 0.5 

200

DAILY DOUBLE

Max can run the race 8 seconds faster than Jennifer. If Max's time is 27 seconds, what is Jennifer's time? 


Write and solve an equation to answer this question.

m = j + 8

j = 19 

200

Name the dependent variable in this situation: 

- The temperature of the water 

- The amount of time it spent heating up 

The temperature of the water 

200

A new car will cost a minimum of $12,000

c is greater than or equal to 12,000 

200

A math phrase in which the values being compared are NOT equal to each other 

inequality 
300

Solve for x: 

x / 48 = 12

x = 576

300

Bruce is 12 inches shorter than Diane.  If Bruce is 49 inches tall, how tall is Diane?


Write an equation to represent this situation and define the variable. 

d - 12 = 49

d = Diane's height 

300

Name the dependent variable in this situation: 

- The number of snow days we have each year 

- The number of snow storms we have each year 

The number of snow days we have 

300

The maximum number of fouls a basketball player may have is five 

f is less than or equal to 5 

300

This variable changes when the other variable changes first 

Dependent Variable 

400
Solve for x: 


x + 24 + 95 = 715 

x = 596

400

Write an equation to represent this situation and define the variable. 

Fred bought 8 new postcards to add to his collection.  The next day his dog ate half of the postcards, leaving 42 leftover.  How many did he start with?

( p + 8 ) / 2 = 42 

p = postcards Fred had at the beginning 

400

DAILY DOUBLE 

Name the independent variable: 

In an unknown number of years (y) a tree will grow an unknown number of rings (r)

the number of years (y) a tree will grow

400

DAILY DOUBLE 

Brittany has a maximum of $2,000 saved for a vacation.  Her airplane ticket is $637.  Write an inequality to show how much she can spend on everything else.

x + 637 is less than or equal to 2000

x is less than or equal to 1363

400

DAILY DOUBLE 

This variable is not controlled by other variables

The independent variable
500

DAILY DOUBLE

Solve for x: 

65 + x + 77 = 98

x = -44

500

Tom had 78 dollars to spend on 6 books (all costing the same amount).  After purchasing the books, he had only $18 dollar leftover.  What is the price of 1 book?

Write an equation for this situation and define the variable. 

78 - 6b = 18

b = the cost of one book 

500

Write an equation and identify the independent and dependent variables: 

Albert runs three miles per day while working towards a total milage goal 

3d = m

Days - independent 

Total miles - dependent 

500

Grace and two of her friends went to the mall.  Each person has at least $25 to spend.  How much money do the girls have altogether? 

m is greater than or equal to 75 

500

A symbol (such as a letter) that is a placeholder for a number

Variable

M
e
n
u