Equations and Inequalities

Solving Whole# Equations

100

x + 7 = 20

x = 13

200

x - 45 = 45

x = 90

300

6x = 72

x = 12

400

x/3 = 9

x = 27

500

x - 183 = 502

x =685

Solving Decimal Equations

100

x + 6.1 = 9.2

x = 3.1

200

x + 6 = 8.2

x = 2.2

300

x - 7 = 5.98

x = 12.98

400

x - 4.7 = 7.65

x = 12.35

500

x + .7 = 9.6

x = 8.9

Writing Inequalities

100

You must be older than 10 to go to the party.

x > 10 

200

You must have fewer than 1 C to go to the good grades party.

x < 1

300

The number of points scored at the basketball game last night exceeded the previous game, which had a score of 43.

x > 43

400

You must have a minimum of $20 in your checking account at all times.

x is greater than or equal to 20

500

You can have no more than 5 cookies each day.

x is less than or equal to 5

Is ___ a solution?

100

is 3 a solution to 

x + 6 < 9

No, because 

3+ 6 < 9  

     9 < 9 , which is false...9 = 9

200

Is 19 a solution?

x - 5 > 7

Yes, 

19 - 5 > 7

     14 > 7 , which is true 

300

Is 12 a solution?

5x + 2 < 10

No

5(12) + 2 < 10

     60 + 2 < 10

           62 < 10 , which is false 

400

Is 4 a solution?

4x + 9 = 21 + x? 

Yes, 

4(4) + 9 = 21 + 4

   16 + 9 = 21 + 4

          25 = 25

500

Is 4.8 a solution to 

x + 7 > 11.9

No

4.8 + 7 > 11.9

     11.8 > 11.9 , which is false

Random

100

What quadrant is the point (3, -10) in?

Quadrant IV

200

What is the distance between the points (-9, 3) and (7, 3)

The distance is 16 units

300

What is the value of the expression 2x -5 when x=10?

The value is 15.

2(10) - 5 

    20 - 5 

       15

400

What is the reflection of the point (5, 4) over the y-axis?

(-5, 4)

500

What is the reflection of the point (5, -6) across the x and y axis?

(-5, 6)