Quiz about EOC Review #2, 5/13/24

Question 1

Which function increases faster?

$$f\left(x\right)\ =\ 25x\ \ \ \ or\ \ \ \ g\left(x\right)\ =\ 2^x$$

Accepted Answer

g(x): when x greater than or equal to 8, g(x) is greater than f(x) all the way to infinity

Answer

f(x): 25 > 2 which represents the rate of growth in each function

Answer

f(x): there is no x for which g(x) is greater than f(x)

Answer

Neither. They increase at the same rate.

Question 2

Marsha pays $25 for the first ticket purchase to the Roller Coaster theme park. Each ticket after the first is $10. Write a function expressing the amount of money she pays for herself and friends to to go the Roller Coaster theme park.

Accepted Answer

f(x) = 10x + 25

Answer

f(x) = 35x

Answer

f(x) = 15x

Answer

f(x) = 25x + 10

Question 3

Solve for h. Your final solution should be in simplest form.

$$43h^2+34h=0$$

Accepted Answer

$$h=0,\ -\frac{34}{43}$$

Answer

h = 0

Answer

$$h=-\frac{34}{43}$$

Answer

$$h=0,\ -\frac{43}{34}$$

Question 4

A group of students are conducting research to see if they can find a function that accurately models the grade a student will receive on a test based on the number of hours the student slept the night before. This is the equation they used:

$$g=12s-8$$

In the equation, g is the grade and s is the number of hours of sleep. The table shows the number of hours of sleep the night before and the test grade for 4 students. Which statement BEST describes the accuracy of this equation based on the data?

Accepted Answer

It gives and accurate result for exactly one student.

Answer

It gives an accurate result for all 4 students.

Answer

It does not give an accurate result for any student.

Answer

It does not give an accurate result for Joe.

Question 5

Northwest High School hired a photographer and a DJ for $2000 for their senior prom. Tickets for the dance are $75 each. Write the function that represents the funds raised from ticket sales and include the appropriate restriction on the domain of the function.

Accepted Answer

$$F\left(t\right)=75t-2000:\ t\ge0$$

where t is an integer

Answer

$$F\left(t\right)=75t$$

where t is a real number

Answer

$$F\left(t\right)=75t-2000:\ -\infty

where t is a real number

Answer

$$F\left(t\right)=75t^2-2000t:\ -\infty

Question 6

What are the zeros of the following:

$$y=2x^2+4x-16$$

Accepted Answer

x = -4, 2

Answer

x = -4, -2

Answer

x = 4, 2

Answer

x = 4, -2

Question 7

Factor the expression: $$x^2+x-30$$

Accepted Answer

(x + 6)(x - 5)

Answer

(x - 6)(x + 5)

Answer

(x - 10)(x + 3)

Answer

(x - 2)(x+15)

Question 8

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?

Accepted Answer

-10x - 4y = 7

Answer

2x + 5y = 8

Answer

5x - 2y = 6

Answer

-10x + 4y = 9

Question 9

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

Accepted Answer

y = 5x - 2

Answer

y = -2x + 7

Answer

y = 5(x - 2)

Answer

y = -1/5x - 2

Question 10

Write the equation of a line PERPENDICULAR to y = -2x + 1 and passes through the point (2, 3).

Accepted Answer

$$y=\frac{1}{2}x+2$$

Answer

$$y=-\frac{1}{2}x+\frac{1}{2}$$

Answer

$$y=-2x+7$$

Answer

$$y=-2x+8$$

Question 11

Write the equation of a line PERPENDICULAR to $$y=\frac{1}{3}x-9$$ and passes through the point (-6, 10).

Accepted Answer

$$y=-3x-8$$

Answer

$$y=\frac{1}{3}x-9$$

Answer

$$y=\frac{1}{3}x+10$$

Answer

$$y=-3x+6$$

Question 12

Which of the following does not satisfy the equation 3x + 3y = 6?

Accepted Answer

(0, 0)

Answer

(1, 1)

Answer

(5, -3)

Answer

(-2, 4)

Question 13

Translate the following to standard form:

$$\left(x-2\right)^2-4x$$

Accepted Answer

$$x^2-8x+4$$

Answer

$$x^2-4x$$

Answer

$$x^2-4x+8$$

Answer

$$x^2+4x-4$$

Question 14

Factor: $$81y^4-1$$

Accepted Answer

$$\left(9y^2+1\right)\left(3y+1\right)\left(3y-1\right)$$

Answer

$$\left(27y^2+1\right)\left(3y^2-1\right)$$

Answer

$$\left(9y+1\right)\left(3y-1\right)\left(3y+1\right)$$

Answer

$$\left(3y^2+1\right)\left(3y+1\right)\left(3y-1\right)$$

Question 15

3x² + 8x + 5

Accepted Answer

(x + 1) (3x + 5)

Answer

(x - 1) (3x - 5)

Answer

(3x - 1) (x - 5)

Answer

(3x + 1) (x + 5)

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