Module 3 Topic B

Expressions

100

Jessica has 2 more than triple the number of video games as her friend Nikki.

If Nikki has n video games, write an EXPRESSION for how many video games Jessica has.

3n + 2

or 

2 + 3n

200

Jessica has 2 more than triple the number of video games as her friend Nikki.

If Nikki has n video games, write an EXPRESSION for the total amount of video games they have together.

n + (3n + 2) 

or

4n + 2

300

Jessica has 2 more than triple the number of video games as her friend Nikki. Together they have 38.

If Nikki has n video games, write an EQUATION for the total amount of video games they have together.

m + 3n + 2 = 38 

or 

4n + 2 = 38

Equations

100

7x - 4 = 31

7x - 4 = 31

+4 = +4

7x = 35

÷7 = ÷7 

x = 5

200

Isaiah went shopping for birthday gifts and bought three of the same game.  He also spent 5.50 on birthday cards.  He spent a total of $154.00  

Write an equation to represent this situation.

3g + 5.50 = 154

300

Isaiah went shopping for birthday gifts and bought three of the same game.  He also spent 5.50 on birthday cards.  He spent a total of $154.00  

What was the price of each game?

$49.50

Testing Solutions

100

Is 8 a solution to the following inequality?

2x + 3 < −5

NO

2(8) + 3 < −5
16 + 3 < −5

19 > −5

200

Is -2 a solution to the following inequality?

2x + 3 < −5

NO

2(-2) + 3 < −5
-4 + 3 < −5

-1 > −5

300

Is -10 a solution to the following inequality?

 2x + 3 < −5

YES

2(-10) + 3 < −5
-20 + 3 < −5

-17 < −5

Inequalities

100

6x - 8 > 16

6x - 8 > 16

+8 > +8 

6x > 24

÷6 > ÷6 

x > 4

200

Eric is required to take at least 300 shots at basketball practice each week.  During the first practice, he took 60 shots.  He has four more practices this week, and he plans to take an equal number of shots at each practice. Let s represent the number of shots taken at each of the remaining four practices.

Type an inequality to represent this situation.

60 + 4x ≥ 300 

or 

4x + 60 ≥ 300

300

Eric is required to take at least 300 shots at basketball practice each week.  During the first practice, he took 60 shots.  He has four more practices this week, and he plans to take an equal number of shots at each practice. Let s represent the number of shots taken at each of the remaining four practices.

What is the smallest number of shots she needs to take at each of the remaining practices to meet the weekly requirement?

60 shots or more

≥ 60

Preserve or Reverse?

100

Will the following preserve or reverse the inequality symbol?

4 > 1

Multiply each side by -2

Reverse

4 > 1

4(-2) > 1(-2)

-8 < -2

200

Will the following preserve or reverse the inequality symbol?

4 > 1

Subtract 2 from each side 

Preserve

4 > 1

4 - 2 > 1 - 2

2 > -1

300

Will the following preserve or reverse the inequality symbol?

4 > 1

Divide each side by 2

Preserve

4 > 1

4 ÷ 2 > 1 ÷ 2

2 > 1/2