algebra part 1 8

Question 1 (5 points)

Solve the equation by graphing. If integral roots cannot be found, estimate the roots by stating the consecutive integers between which the roots lie.

Question 1 options:

	–3
	between –2 and –3 and between –1 and 0
	between –4 and –5 and between –2 and –1
	between –2 and –1 and between 1 and 2

Question 2 (5 points)

Solve the equation by factoring.

81
m
³ – 81
m
² – 36
m + 36 = 0

Question 2 options:

	{–, }
	{1, –, }
	{1, –, }

Question 3 (5 points)

Find the value of c that makes the trinomial a perfect square.

Find the value of
c that makes
x
² – 11
x +
c a perfect square trinomial.

Question 3 options:

	1

Question 4 (5 points)

Look for a pattern in the table to determine which model best describes the data.

x	0	1	2	3	4
y	4	12	36	108	324

Question 4 options:

	quadratic function
	exponential function
	not a function
	linear function

Question 5 (5 points)

Graph the function.

Question 5 options:

Question 6 (5 points)

State the value of the discriminant. Then determine the number of real roots of the equation.

–8
w
² = –(11
w – 7)

Question 6 options:

	93, 2 real roots
	235, 2 real roots
	–110, 2 real roots
	–103, 0 real roots

Question 7 (5 points)

Determine whether the given function has a maximum or a minimum value. Then, find the maximum or minimum value of the function.

1
– 8

6

Question 7 options:

	The function has a minimum value. The minimum value of the function is 54.
	The function has a maximum value. The maximum value of the function is –10.
	The function has a minimum value. The minimum value of the function is –10.
	The function has a maximum value. The maximum value of the function is 54.

Question 8 (5 points)

Graph the function.

y
–2
+ 5
– 2

Question 8 options:

Question 9 (5 points)

Graph the function.

y
–2
+ 6
– 2

Question 9 options:

Question 10 (5 points)

Describe how the graph of the function is related to the graph of .

g(
x) =
x
² – 5

Question 10 options:

	translation down 5 units
	translation up 5 units
	dilation compressed vertically
	reflection

Question 11 (5 points)

Graph the function.

Question 11 options:

Question 12 (5 points)

Solve the equation by graphing.

+ 5
+ 4

Question 12 options:

	–2.5, –2.25
	1, 4
	–4, –1
	1, 4

Question 13 (5 points)

Look for a pattern in the table to determine which model best describes the data.

x			0	1	2
y	–1	1	3	5	7

Question 13 options:

	exponential function
	not a function
	linear function
	quadratic function

Question 14 (5 points)

Solve the equation by factoring.

d
² – 8
d + 16 = 11

Question 14 options:

	{4 ± }
	{4, –4}
	{8, –8}
	{4, 8}

Question 15 (5 points)

Find the coordinates of the vertex of the graph of the function.

y = 4
x
² – 7
x + 4

Question 15 options:

	(0, 4)
	(, )
	(, )
	(, 4)

Question 16 (5 points)

Find the value of c that makes the trinomial a perfect square.

Find the value of
c that makes
x
² – 2
x +
c a perfect square trinomial.

Question 16 options:

	2
	–4
	1

Question 17 (5 points)

Solve the equation by graphing. If integral roots cannot be found, estimate the roots by stating the consecutive integers between which the roots lie.

Question 17 options:

	–4 and –2
	no real roots
	–1 and 1
	between –3 and –4 and between –2 and –3

Question 18 (5 points)

Solve the equation.

10
y
² – 17
y + 12 =
y + 16

Question 18 options:

	{5, 2}
	{–, 2}
	{, 2}
	{–20, 2}

Question 19 (5 points)

Given that f(x) = 3x² – 5x – 1, g(x) = 4x – 2, and h(x) = 6x – 4 find each function.

(
f •
h)(
x)

Question 19 options:

	18x3 – 42x2 + 14x + 4
	9x3 + 42x2 + 24x + 14
	9x3 – 49x2 + 4x – 4
	18x3 – 45x2 – 14x – 4

Question 20 (5 points)

Given that f(x) = x² + 6x – 2, g(x) = x – 7, and h(x) = x + 4 find each function.

(
f +
g)(
x)

Question 20 options:

	x2 + 7x – 9
	x2 + 7x + 2
	x2 + 5x – 6
	x2 + 5x + 5

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