Math 8 Common Assesment review 1

Which representation best represents a proportional relationship between x and y? Choose all that apply.

• ​y=6x−9​

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Which representation shows a non-proportional relationship between x and y?

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Maria plans to attend a community college that costs $8,000 per year for tuition and fees. Her family has already saved $2,500 and she expects to received a $1,200 grant. To have the full amount needed to pay for the first year of college, her family will set aside a fixed amount of money each month for the next 18 months.

How much should Maria's family save to cover tuition?

Move the correct answer to each box. Not all answers will be used.

If Maria receives the grant, her family needs to save a minimum of ​​ (a)   ​ per month.

If Maria does not receive the grant, her family needs to save a minimum of ​ ​ (b)   per month.

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• $239
• $306
• $476
• $350
• $355

Which situation could be best represented by the graph below? 

• A baker increases the price of a cake by $0.55 for every additional decoration added.

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  A water tank is leaking at a rate of 2 liters per minute.

• A savings account starts with $10 and increases by $0.55 per day with deposits.

• A company’s profits decrease by $0.55 for each defective product sold.

The triangle LSK is shown on the coordinate grid. The coordinates of each vertex are integers. 

What is the slope and y-intercept of K̅S̅ ?

Slope= ​ ​ (a)  

Y-intercept= ​ (b)   ​

Mr. Walker is draining the ice tub after the athletes soaked for training. The table below represents the x, time in minutes, and y, the total water in the tank left after drainage. Which statement about the table is true?

• The water level decreases by 12 liters every 7 minutes.

• The tank originally started with 500 liters of water.

• The water level increased by 10 liters every 3 minutes.

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  The tank initially started with 350 liters of water.

• The y-intercept is 200.

The value of y varies directly with x. When y=84, x=¾ What is the value of y when x= 2 ½

• 299

• 280

• 277

• 302

The force needed to stretch a spring varies directly with the distance it is stretched. If a force of 18 Newtons (x) stretches the spring 4.5 cm (y), how much force is required to stretch the same spring 12.8 cm?

• 26 Newtons

• 3.2 Newtons

• 51.2 Newtons

• 40.8 Newtons

What is the value of the x-coordinate of the solution to the system of equations? 

• 0

• 1

• 15

• -2

A company tracks the balance of a customer's prepaid account, which starts with a negative balance due to an initial fee. The customer adds money at a steady rate per transaction. 

• -When the customer has made 9 transactions , their account balance is $6.35.

• -When the customer has made 12 transactions, their account balance is $13.55

Which representation below best represents the relationship between x, number of transactions made, and the account balance (in dollars)

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