EOC Review: Solving Practice

• The ball takes 3 seconds to reach its maximum height

• The ball takes 3 seconds to reach the ground

• The ball was thrown from a height of 3 feet

• The ball reaches a maximum height of 3 feet

• the principal amount of money in the acc

• 1000

• the rate of interest earned

• t

• number of years since opening account

• 40%

• the type of interest being earned

• compound

FedEx charges an $8 shipping fee and $2 for each package they deliver. UPS charges $1.50 for each package and a $12 shipping fee. Which equation can be used to determine when the cost of shipping for FedEx and UPS will be the same?

• 8p + 2 = 1.50p + 12

• 2p + 8 = 12p + 1.50

• 1.50p + 12 = 2p + 8

• 12p + 1.50 = 8 + 2p

Emily purchased 5 tickets to a concert. In addition to the cost per ticket, the venue charges a service fee of $2.50 per ticket. She also bought a parking pass, which cost $7.50 at checkout. The total cost of her order was $352.50.

Write the equation to determine the cost of each ticket: ​ (a)   ​ (b)   =352.50

• 5(x+2.50)
• +7.50
• 5x-2.50
• 5x+2.50
• 5(2.50x)
• -7.50

Determine the order of steps to solving the inequality below:

-7(2x + 3) - 4 > -4x - 5

• Combine like-terms: -21 and -4

• Add 4x to both sides

• Add 25 to both sides

• Distribute: -7 to 2x + 3

• Divide by -10 and flip the inequality symbol

Lamar is saving to buy a car. He starts with $400 in his account. Each week he earns $200 from his job and spends $125 on food. He plans to spend between $1075 and $1450. Write a compound inequality to represent this situation.

​ (a)   ​<​ (b)   ​<​ (c)   ​

• 1075
• 400+200w-125w
• 1450
• 1450-1200+200w
• 200w+125w-400
• 125
• 200
• 125w+1450-400

• 
• 
• 
• 

Sabrina's family is looking for a new cellphone plan. She will have 5 people on her plan and the company charges a $35 plan activation fee. She currently budgets $150 and can afford, at most, $375. Write an inequality that can be used to find the range that each person would pay for the plan.
​ (a)   ≤​ ​ (b)   ≤ ​ (c)  

• 150
• 35+5p
• 375
• 5p-35
• -35+5p
• 35-5p

Which compound inequality represents the number line shown? (click on image to make bigger)

• 9 < x < 14

• 9 > x > 14

• x > 9 and x > 14

• x > 9 or x > 14

Which compound inequality represents the number line shown? (click on image to make bigger)

• 9 < x < 14

• 9 > x > 14

• x < 9 and x > 14

• x < 9 or x > 14