I don’t know how to handle this Algebra question and need guidance.
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 2 (5 points)
Solve the equation by factoring.
81
m
^{3} – 81
m
^{2} – 36
m + 36 = 0
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 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 5 (5 points)
Graph the function.
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 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 8 (5 points)
Graph the function.
y
–2
+ 5
– 2
Question 9 (5 points)
Graph the function.
y
–2
+ 6
– 2
Question 10 (5 points)
Describe how the graph of the function is related to the graph of .
g(
x) =
x
^{2} – 5
Question 11 (5 points)
Graph the function.
Question 12 (5 points)
Solve the equation by graphing.
+ 5
+ 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 14 (5 points)
Solve the equation by factoring.
d
^{2} – 8
d + 16 = 11
Question 15 (5 points)
Find the coordinates of the vertex of the graph of the function.
y = 4
x
^{2} – 7
x + 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 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 18 (5 points)
Solve the equation.
10
y
^{2} – 17
y + 12 =
y + 16
Question 19 (5 points)
Given that f(x) = 3x^{2} – 5x – 1, g(x) = 4x – 2, and h(x) = 6x – 4 find each function.
(
f •
h)(
x)
Question 20 (5 points)
Given that f(x) = x^{2} + 6x – 2, g(x) = x – 7, and h(x) = x + 4 find each function.
(
f +
g)(
x)