Inequalities

Inequalities

Module 3 Lesson 13

Multiple Choice

Tyrik is trying to save $265.49, he has $40 and can save $38 a week. What is the total?

• 265.49

• 40.00

• 38.00

• Not there

Multiple Choice

What is the known amount?

• 265.49

• 40.00

• 38.00

• Not there

Multiple Choice

What amount repeats?

• 265.49

• 40.00

• 38.00

• Not there

Multiple Choice

Which is the correct inequality?

• 40w + 38 > 265.49

• 38w + 40 > 265.49

• 40w + 38 < 265.49

• 38w + 40 < 265.49

Multiple Choice

What is the solution?

• w = 5.68725

• w > 5.9

• w < 5.9

• w ≥ 6

Multiple Select

Tarik will have enough money after ___ weeks

• 4

• 5

• 6

• 7

• 8

Multiple Select

Which two consecutive odd numbers are > -12?

• 1, 3

• -1, 1

• -3, -5

• -5, -7

• -7, -9

Multiple Choice

Conner has 22.50 to spend if he buys a drink for 3.75 and tickets are 1.25, which inequality could be used to find how many ride tickets he could buy?

• 1.25t + 3.75 < 22.50

• 1.25t + 3.75 > 22.50

• 1.25t + 3.75 ≤ 22.50

• 1.25t + 3.75 ≥ 22.50

Multiple Choice

What is the most tickets Connor can buy?

• 12

• 13

• 14

• 15

• 16

Multiple Choice

On a particular airline, checked bags can weigh no more than 𝟓𝟎 pounds. Sally packed 𝟑𝟐 pounds of clothes and five identical gifts in a suitcase that weighs 𝟖 pounds. Write an inequality to represent this situation. Which inequality can be used to find the most each gift can weight?

• 5x + 40 > 50

• 5x + 40 < 50

• 5x + 40 ≥ 50

• 5x + 40 ≤ 50

Multiple Choice

What is the solution?

• x < 2

• x > 2

• x ≤ 2

• x ≥ 2

Multiple Choice

The sum of three times a number and -4 is greater than 17 .

• 3x + -4 ≥ 17

• 3x + -4 < 17

• 3x + -4 > 17

• 3x + -4 ≤ 17

Multiple Choice

The sum of three times a number and -4 is less than 17.

• 3x + -4 ≥ 17

• 3x + -4 < 17

• 3x + -4 > 17

• 3x + -4 ≤ 17

Multiple Choice

The sum of three times a number and -4is at most 17.

• 3x + -4 ≥ 17

• 3x + -4 < 17

• 3x + -4 > 17

• 3x + -4 ≤ 17

Multiple Choice

The sum of three times a number and -4 is no more than 17.

• 3x + -4 ≥ 17

• 3x + -4 < 17

• 3x + -4 > 17

• 3x + -4 ≤ 17

Multiple Choice

The sum of three times a number and -4is at least 17.

• 3x + -4 ≥ 17

• 3x + -4 < 17

• 3x + -4 > 17

• 3x + -4 ≤ 17

Multiple Select

If x represents a positive integer, find the solutions to the following inequalities. x < 7

• 7

• 6

• 5

• 4

• 3

Multiple Select

If x represents a positive integer, find the solutions to the following inequalities. x - 15 < 20

• 38

• 37

• 36

• 35

• 34

Multiple Select

If  represents a positive integer, find the solutions to the following inequalities.  $x\ +\ 3\ \le\ 15$  

• 13

• 12

• 11

• 10

• 9

Multiple Select

If x represents a positive integer, find the solutions to the following inequalities. -x > 2

• 1

• 2

• 3

• 4

• There are none

Multiple Select

 If x represents a positive integer, find the solutions to the following inequalities.  $-x\ ≥\ 2$  

• There are none

• 1

• 2

• 3

• 4

Multiple Select

If x represents a positive integer, find the solutions to the following inequalities. 10 - x > 2

• 10

• 9

• 8

• 7

• 6

Multiple Select

  If  x represents a positive integer, find the solutions to the following inequalities.   $\frac{x}{3\ }<\ 2$  

• 6

• 5

• 4

• 3

• 2

Recall that the symbol means not equal to. If  represents a positive integer, state whether each of the following statements is 

• always true

• sometimes true

• false

Multiple Choice

If x is positive. x > 0

• always true

• sometimes true

• false

Multiple Choice

If x is positive. x < 0

• always true

• sometimes true

• false

Multiple Choice

If x is positive x > -5

• always true

• sometimes true

• false

Multiple Choice

If x is positive. x > 1

• always true

• sometimes true

• false

Multiple Choice

If x is positive. x ≥ 1

• always true

• sometimes true

• false

Multiple Choice

 $x\ \ne\ 0$  If x is positive.

• always true

• sometimes true

• false

Multiple Choice

 $x\ \ne-1$  If x is positive. 

• always true

• sometimes true

• false

Multiple Choice

 $x\ \ne\ 5$  If x is positive. 

• always true

• sometimes true

• false

Multiple Choice

Twice the smaller of two consecutive integers increased by the larger integer is at least 25. Which inequality is correct?

• 3x + 1 > 25

• 3x + 1 < 25

• 3x + 1 ≥ 25

• 3x + 1 ≤ 25

Multiple Choice

Find the smallest number that will make it true.

 $3x\ +\ 1\ \ge25$  

• 6

• 7

• 8

• 9

• 10

Multiple Choice

The length of a rectangular fenced enclosure is 12 feet more than the width. If Farmer Dan has 100 feet of fencing, write an inequality to find the dimensions of the rectangle with the largest perimeter that can be created using feet of fencing.

• 4w + 24 < 100

• 4w + 24 > 100

• 4w + 24 ≤ 100

• 4w + 24 ≥ 100

Multiple Choice

What are the dimensions of the rectangle with the largest perimeter?

• 20 by 32

• 19 by 31

• 18 by 30

• 17 by 29

• 16 by 28

Multiple Choice

What is the area enclosed by this rectangle?

• 640 ft²

• 589 ft²

• 540 ft²

• 493 ft²

• 448 ft²

Multiple Choice

Kyle has $50 to buy sandwiches and chips. If he spent $6 on chips how many sandwiches can he buy? Which inequality is correct?

• 4.50s + 6 < 50

• 4.50s + 6 > 50

• 4.50s + 6 ≤ 50

• 4.50s + 6 ≥ 50

Multiple Choice

What is the most sandwiches he can buy?

• 9

• 10

• 11

• 12

• 8

Exit Ticket

Multiple Choice

Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday. He wants to earn at least $160 in all. Write an inequality and find the minimum number of hours, to the nearest hour, that Shaggy worked on Saturday. Which inequality is correct?

• 7.55h + 100 < 160

• 7.55h + 100 > 160

• 7.55h + 100 ≤ 160

• 7.55h + 100 ≥ 160

Multiple Choice

What is the solution?

• 7

• 8

• 9

• 10

• 11

The End