Quiz about IM Algebra Unit 6 Mid-Unit

Question 1

The image shows the first three steps in a pattern. Select all expressions that relate the step number to the number of squares in that step.

Accepted Answer

$$\left(n+1\right)^2\ -2$$

Accepted Answer

$$n^2\ +2n\ -\ 1$$

Answer

$$2n^2\ -\ 2$$

Answer

$$n^2\ +\ n\ +\ 1$$

Question 2

The function h models the height, in feet, t seconds after an arrow is shot straight up. (Don't ever shoot an arrow straight up - it isn't safe!) Select all the true statements about the situation.

$$h\left(t\right)\ =\ 5\ +\ 130t\ -\ 16t^2$$

Accepted Answer

The arrow is launched from a height of 5 feet.

Accepted Answer

The arrow hits the ground a little after 8 seconds.

Accepted Answer

After 3 seconds, the arrow is 251 feet high.

Accepted Answer

On a graph, this function would make a parabola.

Answer

A reasonable domain for this function is $$0\le t\le5$$

Question 3

Select all the quadratic expressions that are in standard form.

Accepted Answer

$$2x^2+6x+11$$

Accepted Answer

$$4+10x-16x^2$$

Answer

$$3\left(x^2+2x\ -\ 5\right)$$

Answer

$$\left(x-3\right)\left(x+5\right)$$

Question 4

Write this expression in standard form.

(2x + 5)(x - 3)

Accepted Answer

$$2x^2-x-15$$

Answer

$$2x^2+7x-15$$

Answer

$$2x^2+x-15$$

Answer

$$2x^2-x+15$$

Question 5

Write this expression in standard form.

$$\left(x+6\right)^2$$

Accepted Answer

$$x^2+12x+36$$

Answer

$$x^2+36$$

Answer

$$x^2+6x+36$$

Answer

$$2x+12$$

Question 6

The table shows the length of rectangles with a perimeter of 40 ft. Which length will produce the largest area?

Accepted Answer

10 feet

Answer

4 feet

Answer

16 feet

Answer

20 feet

Question 7

In the graph shown, what is the meaning of the x-intercept?

Accepted Answer

The time it took for the object to hit the ground

Answer

The height the object was dropped from

Answer

The height of the object when it hit the ground

Answer

There is no x-intercept shown

Question 8

Choose the most appropriate domain for the revenue shown in the graph.

Accepted Answer

$$0\le p\le18.25$$

Answer

$$0<p<18.25$$

Answer

$$0\le r\le1000$$

Answer

$$0<r<1000$$

Question 9

Choose all the quadratic expressions that are written in factored form.

Accepted Answer

$$\left(x-3\right)\left(x+8\right)$$

Accepted Answer

$$4\left(x+2\right)\left(x-3\right)$$

Accepted Answer

$$x\cdot x$$

Answer

$$7x^2+8x+9$$

Question 10

Graph the following function on your calculator: $$y=8+5x-x^2$$ Choose the appropriate shape of the parabola.

Accepted Answer

$$\cap$$

(the open part is at the bottom)

Answer

$$\cup$$

(the open part is at the top)

Question 11

Graph the following function on your calculator: $$y=8+5x-x^2$$ Where will you find the zeros of the parabola? (Choose all).

Accepted Answer

between -2 and -1

Accepted Answer

between 6 and 7

Answer

between 14 and 15

Answer

between 2 and 3

Question 12

In the graph shown, what is the meaning of the y-intercept?

Accepted Answer

The height the object was dropped from

Answer

The height of the object when it hit the ground

Answer

The time it took for the object to hit the ground

Answer

There is no y-intercept shown

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