Chapter 4: Equations and Inequalities

Writing and Solving Equations

100

Write an equation for the following:

the product of b and 7

7b or 7 x b

200

Write an equation for the following:

the difference between a number and 57

x-57

300

Write an equation and solve!

the sum of a number and 25 is 43

x + 25 = 43

x = 18

400

Write an equation and solve!

the difference of 19.2 and a number  is 3.2

x - 19.2 = 3.2

x = 22.4

500

Write an equation and solve!

the quotient of 7 and a number is 4

x / 7 = 4

x = 28

Writing and Graphing Inequalities

100

Write an inequality:

x is less than or equal to 10

x <_ 10

200

Write an inequality:

x is greater than 20

x > 20

300

Write an inequality and graph!

x is less than 5

x < 5

*open circle at 5 going to the left

400

Write an inequality and graph!

x is at least 25

x >_25

*closed circle going to the right

500

Write an inequality and graph:

x is no more than 8

x <_ 8

*closed circle going to left

Provide a Solution

100

Write 3 possible solutions to x > 4

 any number larger than 4 but not 4

200

Write 3 possible solutions for x <_ 3

3, 2, 1, 0, any negative numbers

300

Tell which is a solution: x = 1, 2, 3 ?

3x - 1 > 2

2 and 3 only

400

Tell which is a solution x = 5 ,6, 7?

3x + 10 - 2x < 20

5, 6, 7

500

Tell which is a solution x = 3, 4, 5

10x > 50

none

Independent and Dependent Variables

100

What is the difference between IV and DV?

IV is the cause, DV is the effect that is measured

200

State the independent and dependent variables:

the amount of food (e) you eat and how full you feel (f)

IV: food eaten (e)

DV: how full you feel (f)

300

State the independent and dependent variables:

your score on the test (t) and the amount you studied (s)

IV: amount studied (s)

DV: score on test (t)

400

Write an IV for this DV:

DV: money earned

IV: hours worked (answers may vary)

500

Write a DV for this IV:

IV: the amount of sunlight a plant gets

DV: how tall the plant grows (answers may vary)

Tables and Rules

100

Write a rule for the table

   X          Y

  1           7

  3           21

  5           35

7x = y

200

Write a rule for the table

   X          Y

  10          13

  20          23

  30          33

x + 3 = y

300

Write a rule for the table, fill in the missing value.

   X          Y

  4           2

  6           3

  8           ?

x divided by 2 = y

missing number : 4

400

Write a rule for the table, fill in the missing value.

   X          Y

  25         18 

  30          ?

  35          ?

  40          33

x - 7 = y

missing numbers: 23, 28

500

Fill in a chart using the following equation: 

6x - 3 + 2x = y  

   X           Y

   5

   6

   7

37, 45, 53