Inequalities Math

Inequalities Day 1

Independent Practice: Ask your teacher for help if needed!

Multiple Choice

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 

Multiple Choice

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

Multiple Choice

Match the graph with its inequality.

• a < 11

• a > 11

• a ≤ 11

• a ≥ 11

Multiple Choice

What inequality does the number line graph represent?

• x ≤ -4
• x ≥ -4
• x < -4
• x < 4

Multiple Choice

Does the given value make the inequality true?  x + 9 > 21, when x = 15

• True
• Not True

"Does the given value make the inequality true? x + 9 > 21, when x = 15"

15 + 9 > 21

21 > 21 --> NOT TRUE

21 = 21, but it is not greater than itself!

Multiple Choice

Which number line best represents the solution to the inequality 5w ≥ 30?

(Hint: Solve for w, then graph the solution)

• A

• B

• C

• D

"Which number line best represents the solution to the inequality 5w ≥ 30"

Multiple Choice

Solve for y.

-4 + y < -8

• y < 4

• y < -12

• y < -4

• y < 12

Solve for y. -4 + y < -8

Correct Solution:

-4 + y < - 8

+4 on both sides

y < -4

Vocabulary Review

Multiple Choice

Translate: 5 times a number is at least 60.

• 5x < 60

• 5x > 60

• 5x ≤ 60

• 5x ≥ 60

Multiple Choice

What symbol is used to represent "is no more than"

• =

• <

• >

• ≤

Multiple Choice

Which graph represents the inequality 2x + 3 < 7

(Solve, then graph the solution)

2x + 3 < 7

Solution:

2x + 3 < 7

Subtract 3 on both sides

2x < 4

Divide by 2 on both sides

x < 2

*Graph will be an open dot at 2, shaded to the left!*

Multiple Select

When do you "flip the inequalities sign"? (There are TWO correct answers!)

• When you add or subtract a negative

• When it is a one-step problem

• When you multiply or divide a negative

• When it's a 2-step problem

• When you need to put the variable on the left side

Multiple Choice

Solve for x.

-4x + 1 > 13

• x > 48

• x < 3

• x > - 3

• x < - 3

Solve for x.

-4x + 1 > 13

When you divide by a negative number, you need to flip your inequality symbol!

Multiple Choice

Solve the following inequality!  

$$-\frac{y}{3}>6$$  

• $$y>18$$  

• $$y>-18$$  

• $$y<18$$  

• $$y<-18$$  

When you multiply by a negative, you need to flip your inequality symbol!

Multiple Choice

Solve the following inequality!

  $$-3z\ \ge\ 15$$  

• $$z\ge5$$  

• $$z\le5$$  

• $$z\ge-5$$  

• $$z\le-5$$  

Multiple Choice

Which of the following is equivalent to

$$4\le m$$  ?

• $$m\le4$$  

• $$m\ge4$$  

When you put the variable on the left, the symbol needs to switch to keep the relationship the same!

If 4 is less than or equal to m, then m is greater than or equal to 4!

Multiple Choice

BONUS:

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws (subtracts) $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 200 + 25x ≥ 500

• 500 + 25x ≥ 200

• 500 - 25x ≥ 200

• 500 - 25x ≤ 200

Multiple Choice

BONUS:

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3

• x/3 + 20 ≤ 120

• 3x + 20 ≤ 120

• 3x + 20 ≥ 120

Poll

How well do you understand inequalities?

• Not well at all. I am still very confused.

• Okay. I need more review.

• Pretty good, but I could understand more.

• Very well. I understand everything!