Making Algebraic Equations and Inequalities

y is tripled by a number x

• y = 3 + x

• y = 3x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

y is equal to the product of 4 and x

• y = x + 4

• y = 4x

Tags

CCSS.6.EE.C.9

y is 6 more than a number x

• y = 6x

• y = x + 6

Tags

CCSS.6.EE.C.9

The sum of a number and 4 is less than 12.

• d - 12 = 4

• d + 4 < 12

• d + 4 = 12

• 12 - d < 4

Tags

CCSS.7.EE.B.4B

The quotient of a number and 15 is 5.

• 15/w = 5

• 15w = 5

• 5/w > 15

• w/15 = 5

Tags

CCSS.6.EE.B.7

The gas tank in Danny’s car was almost empty. He added g gallons of gas to fill it. The gas tank holds 18 gallons. Which expression represents the number of gallons of gas in the tank before Danny filled it? 

• 18 - g
• g + 18
• 18 x g
• g -18

Tags

CCSS.HSA-SSE.A.1A

Allison made n brownies. Aiden made 10 fewer brownies than Allison. Which expression represents the number of brownies Aiden made? 

• n - 10
• 10 - n
• n x 10
• 10 + n

Tags

CCSS.6.EE.B.6

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

• 50 + 3.5x < 71
• 71 - 3.5x < 50
• 71 - 3.5x ≤ 50
• 71 + 3.5x < 50

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

• 106 - 4x ≤ 70
• 70 + 4x ≤ 106
• 4x - 106 ≥ 70
• 106 - 4x< 70

Tags

CCSS.7.EE.B.4B

The members of Indian Spring Middle School's cheerleaders need to raise at least $2000 to attend their national competition. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

• 300x + 10 ≥ 2000

• 10x + 300 ≤ 2000

• 10x + 300 > 2000

• 300 + 10x ≥ 2000

Tags

CCSS.7.EE.B.4B