Quiz about 2023- REVIEW WITH NEW items

Question 1

What is the formula for finding the hypotenuse?

Accepted Answer

a²⁺b²=c²

Answer

a+b=c

Answer

a-b=c

Answer

c-a=c

Question 2

What is the meaning of the y-intercept? (Hint: what would the amount be for 0 hours?)

Accepted Answer

The initial fee is $15 before hourly charges

Answer

The cost will increase by $12 per hour

Answer

The cost will increase by $15 per hour

Answer

The initial fee before hourly charges is $12

Question 3

What is the meaning of the slope?

Accepted Answer

Her bill will increase by $2.95 for every grandchild she brings.

Answer

The cost for Mrs. Franklin's meal is $6.85

Answer

Her bill will increase by $6.85 for every grandchild she brings.

Answer

The cost for Mrs. Franklin's meal is $2.95

Question 4

The graph represents gasoline consumption when driving a certain distance in km.  What is the meaning of the slope?

Accepted Answer

the amount of gasoline consumed per km driven

Answer

The tank started with 50 L of gasoline

Answer

the distance it takes to lose a Liter of gas

Answer

the gasoline is leaking because the slope is negative.

Question 5

What is the function of the line?

Accepted Answer

y= x

Answer

y= 3x+1

Answer

y=2x-1

Answer

y= 4x

Question 6

What is the meaning of the y-intercept?

Accepted Answer

The hamburger will cost $1.90 without any toppings.

Answer

The hamburger will cost $1.40 without any toppings.

Answer

The cost of the hamburger is $1.90 with one topping

Answer

The cost of the hamburger doesn't change no matter how many toppings there are.

Question 7

Find the slope

Accepted Answer

-3/2

Answer

-2/3

Answer

3/2

Answer

2/3

Question 8

What is the meaning of the slope? (Hint: choose two points! Hours rented (x) and amount paid (y))

Accepted Answer

The cost will increase by $12 per hour

Answer

The initial fee is $15 before hourly charges

Answer

The cost will increase by $15 per hour

Answer

The initial fee before hourly charges is $12

Question 9

What is the y-intercept for the following table and is it proportional or non-proportional?

Accepted Answer

Proportional, y-intercept is 0

Answer

Non-proportional, y-intercept is 0

Answer

Proportional, slope is 0

Answer

Non-proportional, slope is 0

Question 10

Why does this graph show a non-proportional relationship?

Accepted Answer

It does not go through the origin

Answer

Because it is proportional

Answer

It goes through the origin

Answer

It is a straight line

Question 11

Does this graph represent a proportional relationship?

Accepted Answer

No, because it doesn't pass through the origin.

Answer

Yes, because it doesn't pass through the origin.

Answer

Yes, because it intersects the y axis.

Answer

No, because it intersects the x axis.

Question 12

Does the table show a proportional relationship?

Accepted Answer

Yes

Answer

No

Question 13

What is the constant of proportionality?

Accepted Answer

16

Answer

8

Answer

24

Answer

2

Question 14

Your 3 year investment of $20,000 received 5.2% interest compounded annually.  What is your total return?

Accepted Answer

$23,285.05

Answer

$3,285.05

Answer

$2,385

Answer

$32,285

Question 15

A relation where every input in matches with exactly one output is called what?

Accepted Answer

Function

Answer

Relation

Answer

Linear

Answer

Exponential

Question 16

Is the relation a function?
{(4,5), (4,-7), (4,2), (4,0), (4,9)}

Accepted Answer

No

Answer

Yes

Question 17

Solve for x

8x + 3 = 5x +12

Accepted Answer

3

Answer

4

Answer

1

Answer

6

Question 18

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

Accepted Answer

15 + 2.5x = 10 + 3x

Answer

15x + 2.5 = 10x + 3

Answer

15 - 2.5x = 10

Answer

15 - 10 = 2.5x + 3x

Question 19

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

Accepted Answer

15 + 2.5x = 10 + 3x

Answer

15x + 2.5 = 10x + 3

Answer

15 - 2.5x = 10 - 3x

Answer

15 - 10 = 2.5x + 3x

Question 20

Which situation best represents the following equation?

25 + .05x = 50 + .01x

Accepted Answer

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

Answer

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $50 plus 5 cents per minute. Cellular Plus charges $25 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

Answer

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus $5 per minute. Cellular Plus charges $50 plus $1 per minute. How many minutes can be used in one month to make the two companies charge the same amount?

Answer

There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50. How many minutes can be used in one month to make the two companies charge the same amount?

Question 21

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

Accepted Answer

150 + 24x = 180 + 20x

Answer

150x + 24 = 180 + 20x

Answer

180 - 150 = 24 x + 20x

Answer

150 - 24x = 180 - 20x

Question 22

Which inequality can be represented by the inequality 20x + 50 < 25x

Accepted Answer

Greg has $50 in his savings account. He deposits $20 in the account each week. His sister, Lauren opened an account today and will put $25 in the account each week. How many weeks will it take for Lauren to have more money saved than Greg?

Answer

Greg has $50 in his savings account. He deposits $20 in the account each week. His sister, Lauren opened an account today and will deposit $25 in the account each week. How many weeks will it take for Greg to have more money saved than Lauren?

Answer

Greg saves $20 each week to put in his savings account at the bank. His sister, Lauren has saved $50 and will save $25 each week. How many weeks will it take for Greg to have more money than Lauren?

Answer

Greg has saved $50 and plans to put $25 each week in his savings account at the bank. His sister, Lauren has also saved $50 but will put $20 in her bank account each week.

Question 23

Karissa is going water skiing. She can purchase skis for $125 or she can rent skis for $30 an hour. In both cases she must rent a safety flotation device to wear that is $5 per hour. Which inequality shows the number of hours Karissa must ski for the cost of buying skis to be less than renting skis?

Accepted Answer

125 + 5x < 35x

Answer

125 + 5x > 30x

Answer

125 + 5x < 30x

Answer

125 + 5x > 35x

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