Quiz about Tennessee Algebra

Question 1

A club at school needs $500. Their money collection for the week is modeled with f(x)=10+20x. What is the meaning of the constant 10?

Accepted Answer

It's the starting amount.

Answer

It's how much money is left over.

Answer

It's how much money still needs to be collected.

Answer

It's the amount of money raised each week.

Question 2

The bases of a trapezoid measure 14.5 and 22.5. What is the minimum height of the trapezoid if it is to have an area of no less than 259 square feet?
Area= (1/2)h(b₁+b₂)

Accepted Answer

14

Answer

3.5

Answer

7

Answer

18.5

Question 3

A bakery has an order to make 100 cupcakes. The workers can frost and decorate 3 cupcakes per minute. Let x be the number of minutes the workers have been working. Write an inequality that says the number of cupcakes remaining to be decorated is less than 20.

Accepted Answer

100-3x<20

Answer

3x-100<20

Answer

100+3x<20

Answer

100-3x>20

Question 4

Solve
3y+(1/2)x+w=0
for y.

Accepted Answer

y=-(1/6)x-(1/3)w

Answer

y=(1/6)x+(1/3)w

Answer

y=-(1/5)x+(2/3)w

Answer

y=-(3/2)x+6w

Question 5

Let x be a nonzero rational number and y be an irrational number. Which of these expressions MUST be a rational number?

Accepted Answer

x + x

Answer

y + 0

Answer

x + y

Answer

y + y

Question 6

Given the recursive formula of a sequence below, find the explicit formula.
a₁= 5
a_n = a_n-1- 2

Accepted Answer

a_n = -2n + 7

Answer

a_n = n - 2

Answer

a_n = 2n - 7

Answer

a_n = -2n + 5

Question 7

Which function has the same y-intercept as the graph?

Accepted Answer

y + 3 = 6x

Answer

y = (12-6x) / 4

Answer

27 + 3y = 6x

Answer

6y + x = 18

Question 8

A movie theater uses the function f(t) where t is the number of tickets sold for a movie to model the total amount of money collected for that movie. A reasonable domain would be...

Accepted Answer

Positive Integers

Answer

Positive Real Numbers

Answer

Both Positive and Negative Integers

Answer

Both Positive and Negative Real Numbers

Question 9

What is the average rate of change from 0 to 4?

Accepted Answer

-5.25

Answer

5.25

Answer

-5.33

Answer

5.33

Question 10

Find the y-intercept of the graph of the linear function that includes the points in the table.

Accepted Answer

5.5

Answer

6

Answer

0

Answer

0.5

Question 11

Monica did an experiment to compare two methods of warming an object. The results are shown in the table.
Which statement BEST describes her results?

Accepted Answer

The results of Method 2 will exceed Method 1 over the entire interval [5, 10]

Answer

The results of Method 1 will always exceed Method 2.

Answer

The results of Method 2 will always exceed Method 1.

Answer

The results of Method 1 exceeds Method 2 over the entire interval [0, 5].

Question 12

On the first hour of his journey, Santa visits 5203 homes. As the night continues, he increases that amount by 6% each hour. Select the equation that would determine the total number of houses Santa visits x hours later.

Accepted Answer

y = 5203(1.06)^x

Answer

y = 5203(.06)^x

Answer

y = 5203(.6)^x

Answer

y = 5203(1.6)^x

Question 13

Based the tables, what is the solution of the system?

Accepted Answer

(-1, -8)

Answer

(1, 2)

Answer

(2, -5)

Answer

No Solution

Question 14

If f(18) = 7(18) + 40 which function gives an appropriate representation of f(x)?

Accepted Answer

f(x) = 7x + 40

Answer

f(x) = 7x

Answer

f(x) = 18

Answer

f(x) = 18x + 40

Question 15

What is the equation of the horizontal asymptote for the function y = 2(3)^x-7 ?

Accepted Answer

y=-7

Answer

y=2

Answer

y=3

Answer

y=-1

Question 16

Describe the transformations of the graph of f(x)=3^x-2+1 when compared to the graph of its parent function, g(x)=3^x?

Accepted Answer

Translates up 1 and right 2

Answer

Translates down 2 and right 1

Answer

Translates down 1 and left 2

Answer

Translates up 2 and left 1

Question 17

Find an explicit formula for the sequence
-5, -25, -125, -625,...

Accepted Answer

a_n = -5(5)^n-1

Answer

a_n = -20n + 15

Answer

a_n = 5(-5)^n-1

Answer

a_n = -5n - 20

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