Model and Write Equations and Inequalities

Solve: -2x ≤ 14

• x ≤ 7

• x ≤ -7

• x ≥ 7

• x ≥ -7

Solve for k. 

7k – 2 ≥ -9

• k ≤ -1

• k≤1

• k≥1

• k ≥ -1

Solve for x

• x = 4

• x = 1

• 2x = 4

• x = 2

Which equation and solution represents the model?

• 4x = 7; x = 28

• 7 = x - 4; x = 11

• 7 = x + 4; x = 3

• x + 4 = 3; x = 7

What equations is model below?

• 7  = 2-x-4

• 7  = 2+x+4

• 7= 2x - 4

• 7= 2x+ 4

26 = 5a + 1

• a= 5 ⁴∕₅

• a= no solution

• a= 0

• a= 5

Pick the correct letter for:
6 > x

• A

• B

• C

• D

Do I need to flip my sign?
-3x  ≥ 12

• Yes

• No

You have started to think about saving money to purchase a car. You know you can earn money by doing yard work or by babysitting your neighbor’s kids. You earn $8 per hour doing yard work and $6 per hour babysitting. You want to earn at least $96 this week. With all of your homework, you know you don’t want to work more than 20 hours in a week. Let x = # hours doing yard work and let y = # of hours babysitting.  Write an inequality to represent the money you want to earn. 

You have started to think about saving money to purchase a car. You know you can earn money by doing yard work or by babysitting your neighbor’s kids. You earn $8 per hour doing yard work and $6 per hour babysitting. You want to earn at least $96 this week. With all of your homework, you know you don’t want to work more than 20 hours in a week. Let x = # hours doing yard work and let y = # of hours babysitting.  When you graph the lines for the inequalities you could write for this scenario, what will the lines look like?

• Both lines are dashed.

• Both lines are solid.

• One line is dashed and the other is solid.