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Math Problems
Algebra 1
Solve absolute value inequalities
Solve the system of equations.
\newline
y
=
22
x
−
38
y
=
x
2
+
11
x
−
14
\begin{array}{l}y=22 x-38 \\y=x^{2}+11 x-14\end{array}
y
=
22
x
−
38
y
=
x
2
+
11
x
−
14
\newline
Write the coordinates in exact form. Simplify all fractions and radicals.
\newline
(
−
,
−
)
(
−
,
−
)
\begin{array}{l}(-,-) \\(-,-)\end{array}
(
−
,
−
)
(
−
,
−
)
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f
(
x
)
=
{
−
4
x
for
x
<
−
1
−
x
+
1
for
−
1
≤
x
≤
3
−
2
x
+
8
for
x
>
3
f(x)=\left\{\begin{array}{lll} -4 x & \text { for } & x<-1 \\ -x+1 & \text { for } & -1 \leq x \leq 3 \\ -2 x+8 & \text { for } & x>3 \end{array}\right.
f
(
x
)
=
⎩
⎨
⎧
−
4
x
−
x
+
1
−
2
x
+
8
for
for
for
x
<
−
1
−
1
≤
x
≤
3
x
>
3
\newline
Find
f
(
3
)
f(3)
f
(
3
)
\newline
Answer:
\newline
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Convert
9
7
8
9 \frac{7}{8}
9
8
7
into an improper fraction.
\newline
Answer:
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Solve for
u
u
u
.
\newline
∣
u
∣
−
4
≥
6
|u| - 4 \geq 6
∣
u
∣
−
4
≥
6
\newline
\newline
Write a compound inequality like
1
<
x
<
3
1 < x < 3
1
<
x
<
3
or like
x
<
1
x < 1
x
<
1
or
x
>
3
x > 3
x
>
3
. Use integers, proper fractions, or improper fractions in simplest form.
\newline
________
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