A-CED.3 Creating Equations (Math 1 EOC Review)

A rectangle has a perimeter of 36 inches. Its length is 10 more than its width. Which system of equations can be used to find the width, w, and length, l, of the rectangle?

Tags

CCSS.8.EE.C.8C

Tags

CCSS.HSA.CED.A.3

Ashanta buys pizza and drinks for a party.

• She wants to spend no more than $50.

• Pizzas cost $9 each, and drinks cost $2.50 each.

• She needs at least 4 pizzas.

• She needs no more than 5 drinks.

Which system of inequalities could be used to determine the number of pizzas, p, and drinks, r, Ashanta can purchase?

The 9th graders are hosting a school dance to raise money for their class trip.

• x represents the number of tickets sold, and y represents the total profit from the dance.

• The 9th graders will charge $15 per ticket the week of the dance.

• The 9th graders will charge $20 per ticket at the door. It will cost a total of $700 to host the dance (Food, Decorations, DJ).

• The 9th graders must sell at least 100 tickets to hold the dance.

• They will sell no more than 745 tickets to make sure there is plenty of space for the dance.

What system of inequalities represents these constraints?

Gwyneth has a total of 195 coins, all nickels and dimes. The coins have a total value of $13.00. If x represents the number of nickels Gwyneth has and y represents the number of dimes she has, which system of equations represents this situation?

Tags

CCSS.8.EE.C.8C

There is a small water leak in a 10 foot-deep rectangular pool. Water is leaking out at a constant rate.

• The depth of the water is decreasing linearly.

• At 12:00 PM, the water depth was 8.2 feet.

• At 5:00 PM, the water depth was 6.7 feet.

What will the depth (in feet) of the water at 6:00 PM?

Tags

CCSS.HSF-LE.A.1B

Shelley sells ice cream cones at the park during the summer. She makes $20 per work shift plus $0.25 for each ice cream cone she sells. How many ice cream cones does Shelley need to sell to earn a total of $30 for working one shift?

• 30 cones

• 35 cones

• 40 cones

• 45 cones

Tags

CCSS.7.EE.B.4A

George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George’s older brother weigh?

There are two bowling alleys in a town.

• Bowl-A-Rama Alley charges $2.50 to rent bowling shoes and $3.00 per game.

• Strike Alley offers free shoe rental but charges $4.00 per game.

What is the minimum number of games a person would have to play in order to make Bowl-A-Rama the better choice?

Tags

CCSS.8.EE.C.7B