Quiz about Interim 3: PART 1 practice test

Question 1

Which ordered pair is a solution of the following inequality?

$$2x\ +\ 4y\ >20$$

Accepted Answer

(4,4)

Answer

(0,5)

Answer

(10,0)

Answer

(2,2)

Question 2

Select the inequality that represents the following graph:

Accepted Answer

$$y\ >\ \frac{2}{3}x\ +\ 4\ $$

Answer

$$y\ <\ \frac{2}{3}x\ \ +4\ $$

Answer

$$y\ >-\frac{2}{3}x\ +\ 4\ $$

Answer

$$y\ \ge\frac{2}{3}x+\ 4\ $$

Question 3

Select the region that represents the solution to the system of inequalities:

$$y<3x-4\ $$

$$2x\ +\ 3\ \ge6$$

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 4

What equation can be modeled by the table below?

Accepted Answer

$$y\ =\ 243\left(\frac{1}{3}\right)^x$$

Answer

$$y\ =\ 243\left(-3\right)^x$$

Answer

$$y\ =\ 243\left(3\right)^x$$

Answer

$$y\ =\ \left(\frac{1}{3}\right)^x$$

Question 5

What is the growth rate of the function?

$$y=\left(1.004\right)^x$$

(remember to leave your answer as a percent)

Accepted Answer

.4%

Answer

.04%

Answer

4%

Answer

.004%

Question 6

Which equation has the SLOWEST rate of decay?

Accepted Answer

$$y\ =2\left(\frac{3}{4}\right)^x$$

Answer

$$y\ =\ 2\left(\frac{1}{4}\right)^x$$

Answer

$$y\ =\ 5\left(\frac{1}{4}\right)^x$$

Answer

$$y\ =\ 3\left(\frac{2}{3}\right)^x$$

Question 7

A certain computer was purchased for $120. The function v(t) models the value, v, of the computer, where t is the number of years since the share was purchased. Which function models the situation if the value of the computer decreases by 22% each year?

Accepted Answer

$$v\left(t\right)\ =\ 120\ \left(.78\right)^t$$

Answer

$$v\left(t\right)\ =\ 120\left(1.22\right)^t$$

Answer

$$v\left(t\right)\ =\ 120\left(.22\right)^t$$

Answer

$$v\left(t\right)=\ .22\left(120\right)^t$$

Question 8

Which exponential function is graphed?

Accepted Answer

$$f\left(x\right)=3^{x-4}$$

Answer

$$f\left(x\right)=\ 3^{x+3}$$

Answer

$$f\left(x\right)=\ 3^x\ +\ 3\ $$

Answer

$$f\left(x\right)\ =\ 3^x\ -4\ $$

Question 9

Consider the following functions. What is the VALUE of the lesser of the two y-intercepts?

$$y\ =\ 4^{x-2}$$ and

$$y\ =\ 4^x\ -2$$

Accepted Answer

-1

Answer

2

Answer

-2

Answer

1

Question 10

Describe the transformation of the following in comparison to the parent function.

g(x) = -f(x)

Accepted Answer

reflect over x axis

Answer

traslate up

Answer

compress

Answer

stretch

Question 11

Describe the transformation of the following in comparison to the parent function.

g(x) = f(x) + 5

Accepted Answer

traslate up

Answer

reflect over x axis

Answer

stretch

Answer

compress

Question 12

Describe the transformation of the following in comparison to the parent function.

g(x) = 1/2 f(x)

Accepted Answer

compress

Answer

reflect over x axis

Answer

stretch

Answer

traslate up

Question 13

Describe the transformation of the following in comparison to the parent function.

g(x) = 3f(x)

Accepted Answer

stretch

Answer

reflect over x axis

Answer

compress

Answer

traslate up

Question 14

Which expression is equivalent to the following:

$$\left(\frac{1}{2}x^4y^2z\right)^4$$

Accepted Answer

$$\frac{1}{16}x^{16}y^8z^4$$

Answer

$$\frac{1}{2}x^{16}y^8z^4$$

Answer

$$\frac{1}{16}x^8y^6z^4$$

Answer

$$\frac{1}{8}x^{16}y^8z^4$$

Question 15

what is the product of $$\left(2x^2\ +\ 4\right)\left(3x^2-4x\ +\ 3\right)\ $$

Accepted Answer

$$6x^4-8x^3+\ 18x^2-16x+12$$

Answer

$$5x^4-2x^3+12x^2-8x+7$$

Answer

$$5x^5-4x+7$$

Answer

$$6x^4\ -4x\ +12$$

Question 16

Write the expression equivalent to $$\left(3x\ -4\right)^2$$

Accepted Answer

$$9x^2-24x+16$$

Answer

$$9x^2-16$$

Answer

$$9x^2+16$$

Answer

$$9x^2+12x+16\ $$

Question 17

Simplify the following

Accepted Answer

$$-14n^4+7n^2+8n+7$$

Answer

$$5n-8+3n^2$$

Answer

$$-14n^4+7n^2+8n-7$$

Answer

$$8n^4+13n^2+8n-7$$

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