Modeling Inequalities

If Rosa's age is represented by R, which inequality represents the statement "Rosa is at most 29 years old"?

• 
  

  $R<29$

• $R>29$

• $R\le29$

• $R\ge29$

Tags

CCSS.6.EE.B.8

The sign shown above is posted in front of a roller coaster ride at the Wadsworth County Fairgrounds. If h represents the height of a rider in inches, what is a correct translation of the statement on this sign?

• $h<48$

• $h>48$

• $h\le48$

• $h\ge48$

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Roger is having a picnic for 78 guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot dogs, which inequality could be used to determine how many packages of hot dogs Roger will need to buy?

• $p\ge78$

• $8p\ge78$

• $8+p\ge78$

• $78-p\ge8$

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Jeremy is hosting a Halloween party for 80 children. He will give each child at least one candy bar. If each bag of candy contains 18 candy bars, which inequality can be used to determine how many bags, c, Jeremy will need to buy?

• $18c\ge80$

• $18c\le80$

• $\frac{c}{18}\ge80$

• $\frac{c}{18}\le80$

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Carol plans to sell twice as many magazine subscriptions as Jennifer. If Carol and Jennifer need to sell at least 90 subscriptions in all, which inequality could be used to determine how many subscriptions, x, Jennifer needs to sell?

• $x\ge45$

• $2x\ge90$

• $2x-x\ge90$

• $2x+x\ge90$

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Mrs. Smith wrote "Eight less than three times a number is greater than fifteen" on the board. If x

represents the number, which inequality is a correct translation of this statement?

• $3x-8>15$

• $3x-8<15$

• $8-3x>15$

• $8-3x<15$

Tags

CCSS.6.EE.B.8

An electronics store sells DVD players and

cordless telephones. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c). The store wants to make a profit of at least $255.00 from its sales of DVD players and cordless phones. Which inequality describes this situation?

• $75d+30c<255$

• $75d+30c\le255$

• $75d+30c>255$

• $75d+30c\ge255$

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.8

The ninth grade class at a local high school needs to purchase a park permit for $250.00 for their upcoming class picnic. Each ninth grader attending the picnic pays $0.75. Each guest pays $1.25. If 200 ninth graders attend the picnic, which inequality can be used to determine the number of guests, x, needed to cover the cost of the permit?

• $0.75x-\left(1.25\right)\left(200\right)\ge\text{250.00}$

• $0.75x+\left(1.25\right)\left(200\right)\ge250.00$

• $\left(0.75\right)\left(200\right)-1.25x\ge250.00$

• $\left(0.75\right)\left(200\right)+1.25x\ge250.00$

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.8

The length of a rectangle is 15 and its width is w. The perimeter of the rectangle is, at most, 50. Which inequality can be used to find the longest possible width?

• $30+2w<50$

• $30+2w\le50$

• $30+2w>50$

• $30+2w\ge50$

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

The length of a rectangle is three feet less than twice its width. If x represents the width of the rectangle, in feet, which inequality represents the area of the rectangle that is at most 30 square feet?

• $x\left(2x-3\right)\le30$

• $x\left(2x-3\right)\ge30$

• $x\left(3-2x\right)\le30$

• $x\left(3-2x\right)\ge30$

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

CCSS.6.G.A.1