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Math Problems
Algebra 1
Multiply polynomials
Solve for
l
l
l
:
(
−
7.4
)
+
l
=
9.11
(-7.4) + l = 9.11
(
−
7.4
)
+
l
=
9.11
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A coffee shop is analyzing its resource usage to improve efficiency. The shop finds that the amount of coffee beans needed increases with the number of cups of coffee made. The brewing time for a batch of
100
100
100
cups of coffee is reduced as more brewing machines are used. If one machine takes
30
30
30
minutes to brew the batch, the time decreases with the use of additional machines.
\newline
(a) If
3
3
3
brewing machines are used, how long will it take to brew
100
100
100
cups of coffee, assuming the same batch size and efficiency?
\newline
(b) How many brewing machines are required to brew
100
100
100
cups of coffee in
15
15
15
minutes?
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Pick the story that can be modeled by the equation
x
+
6
=
15
x + 6 = 15
x
+
6
=
15
.
\newline
Choices:
\newline
(A)There are
x
x
x
girls and
6
6
6
boys in Knight Middle School's chess club. Altogether, there are
15
15
15
members in the club.
\newline
(B)The Knight Middle School's chess club has a total of
x
x
x
members, but
6
6
6
members were absent from yesterday's meeting. Only
15
15
15
members attended the meeting.
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Pick the story that can be modeled by the equation
x
4
=
8
\frac{x}{4} = 8
4
x
=
8
.
\newline
Choices:
\newline
(A)For tonight's soccer practice, Coach Carroll is using
8
8
8
cones to set up a dribble drill. She divides the cones evenly into
x
x
x
rows, putting
4
4
4
cones in each row.
\newline
(B)For tonight's soccer practice, Coach Carroll is using
x
x
x
cones to set up a dribble drill. She divides the cones evenly into
4
4
4
rows, putting
8
8
8
cones in each row.
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Find the product. Simplify your answer.
\newline
−
4
r
(
r
2
−
2
r
+
1
)
-4r(r^{2}-2r+1)
−
4
r
(
r
2
−
2
r
+
1
)
\newline
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What is the slope of the line?
\newline
−
4
x
+
7
=
2
y
−
3
-4x+7=2y-3
−
4
x
+
7
=
2
y
−
3
\newline
Choose
1
1
1
answer:
\newline
(A)
−
1
2
-\frac{1}{2}
−
2
1
\newline
(B)
−
1
3
-\frac{1}{3}
−
3
1
\newline
(C)
−
3
-3
−
3
\newline
(D)
−
2
-2
−
2
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Find the product. Simplify your answer.
\newline
(
4
y
+
1
)
(
y
−
1
)
(4 y+1)(y-1)
(
4
y
+
1
)
(
y
−
1
)
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City Councilwoman Kelly wants to know whether the residents of her district support a proposed school redistricting plan. Which of the following survey methods will allow Councilwoman Kelly to make a valid conclusion about whether residents of her district support the proposed plan?
\newline
Choose
1
1
1
answer:
\newline
(A) Ask her neighbors.
\newline
(B) Ask the residents of Whispering Pines Retirement Community.
\newline
(C) Ask
200
200
200
residents of her district whose names are chosen at random.
\newline
(D) Ask a group of parents at the local playground.
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Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
−
5
x
−
(
8
x
−
8
)
=
3
(
4
x
−
7
)
−
2
-5 x-(8 x-8)=3(4 x-7)-2
−
5
x
−
(
8
x
−
8
)
=
3
(
4
x
−
7
)
−
2
\newline
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Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
−
3
(
4
x
+
5
)
=
−
12
x
−
14
-3(4 x+5)=-12 x-14
−
3
(
4
x
+
5
)
=
−
12
x
−
14
\newline
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Find the product. Write your answer in standard form.
\newline
(
4
a
+
7
)
(
9
a
2
+
2
a
−
7
)
(4 a+7)\left(9 a^{2}+2 a-7\right)
(
4
a
+
7
)
(
9
a
2
+
2
a
−
7
)
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Find the product. Simplify your answer.
\newline
(
2
f
−
4
)
(
4
f
+
4
)
(2f - 4)(4f + 4)
(
2
f
−
4
)
(
4
f
+
4
)
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Find the product. Simplify your answer.
\newline
−
7
(
−
3
m
2
−
4
m
−
4
)
-7(-3m^2 - 4m - 4)
−
7
(
−
3
m
2
−
4
m
−
4
)
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Find the product. Simplify your answer.
\newline
−
3
y
2
(
4
y
2
−
y
)
-3y^2(4y^2 - y)
−
3
y
2
(
4
y
2
−
y
)
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Find the product. Simplify your answer.
\newline
(
3
b
−
3
)
(
−
4
b
2
+
4
b
+
4
)
(3b - 3)(-4b^2 + 4b + 4)
(
3
b
−
3
)
(
−
4
b
2
+
4
b
+
4
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
q
+
3
)
(
−
3
q
2
+
3
q
+
3
)
(q + 3)(-3q^2 + 3q + 3)
(
q
+
3
)
(
−
3
q
2
+
3
q
+
3
)
Get tutor help
Find the product. Simplify your answer.
\newline
−
4
q
2
(
3
q
2
−
q
)
-4q^2(3q^2 - q)
−
4
q
2
(
3
q
2
−
q
)
Get tutor help
Find the product. Simplify your answer.
\newline
4
k
2
(
4
k
2
+
4
k
−
1
)
4k^2(4k^2 + 4k - 1)
4
k
2
(
4
k
2
+
4
k
−
1
)
Get tutor help
Find the product. Simplify your answer.
\newline
−
2
m
2
(
−
3
m
2
−
2
m
−
1
)
-2m^2(-3m^2 - 2m - 1)
−
2
m
2
(
−
3
m
2
−
2
m
−
1
)
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Find the product. Simplify your answer.
\newline
−
8
(
−
2
c
2
−
c
+
1
)
-8(-2c^2 - c + 1)
−
8
(
−
2
c
2
−
c
+
1
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
3
x
−
2
)
(
x
2
−
3
x
+
2
)
(3x - 2)(x^2 - 3x + 2)
(
3
x
−
2
)
(
x
2
−
3
x
+
2
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
y
+
4
)
(
4
y
2
−
4
y
+
3
)
(y + 4)(4y^2 - 4y + 3)
(
y
+
4
)
(
4
y
2
−
4
y
+
3
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
w
−
2
)
(
3
w
2
−
4
w
+
1
)
(w - 2)(3w^2 - 4w + 1)
(
w
−
2
)
(
3
w
2
−
4
w
+
1
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
2
r
+
1
)
(
−
4
r
2
+
3
r
−
1
)
(2r + 1)(-4r^2 + 3r - 1)
(
2
r
+
1
)
(
−
4
r
2
+
3
r
−
1
)
Get tutor help
Find the product. Simplify your answer.
\newline
−
9
(
−
2
t
2
+
4
t
−
4
)
-9(-2t^2 + 4t - 4)
−
9
(
−
2
t
2
+
4
t
−
4
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
−
s
2
)
(
−
4
s
4
)
(-s^2)(-4s^4)
(
−
s
2
)
(
−
4
s
4
)
Get tutor help
Find the product. Simplify your answer.
\newline
h
2
(
3
h
2
+
h
+
4
)
h^2(3h^2 + h + 4)
h
2
(
3
h
2
+
h
+
4
)
Get tutor help
Find the product. Simplify your answer.
\newline
3
j
2
(
−
3
j
2
+
2
j
+
1
)
3j^2(-3j^2 + 2j + 1)
3
j
2
(
−
3
j
2
+
2
j
+
1
)
Get tutor help
Find the square. Simplify your answer.
\newline
(
c
−
3
)
2
(c - 3)^2
(
c
−
3
)
2
Get tutor help
Find the product. Simplify your answer.
\newline
(
4
a
+
4
)
(
4
a
+
2
)
(4a + 4)(4a + 2)
(
4
a
+
4
)
(
4
a
+
2
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
4
s
−
1
)
(
4
s
2
+
2
s
+
4
)
(4s - 1)(4s^2 + 2s + 4)
(
4
s
−
1
)
(
4
s
2
+
2
s
+
4
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
x
−
1
)
(
−
x
2
−
4
x
−
3
)
(x - 1)(-x^2 - 4x - 3)
(
x
−
1
)
(
−
x
2
−
4
x
−
3
)
Get tutor help
Find the square. Simplify your answer.
\newline
(
g
+
2
)
2
(g + 2)^2
(
g
+
2
)
2
Get tutor help
Find the product. Simplify your answer.
\newline
(
4
b
−
3
)
(
2
b
2
+
3
b
+
4
)
(4b - 3)(2b^2 + 3b + 4)
(
4
b
−
3
)
(
2
b
2
+
3
b
+
4
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
4
n
−
3
)
(
−
2
n
2
−
4
n
+
2
)
(4n - 3)(-2n^2 - 4n + 2)
(
4
n
−
3
)
(
−
2
n
2
−
4
n
+
2
)
Get tutor help
Find the product. Simplify your answer.
\newline
3
(
3
t
2
+
3
t
−
3
)
3(3t^2 + 3t - 3)
3
(
3
t
2
+
3
t
−
3
)
Get tutor help
Find the product. Simplify your answer.
\newline
7
(
b
2
−
4
b
−
2
)
7(b^2 - 4b - 2)
7
(
b
2
−
4
b
−
2
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
2
q
−
4
)
(
2
q
+
4
)
(2q - 4)(2q + 4)
(
2
q
−
4
)
(
2
q
+
4
)
Get tutor help
Find the square. Simplify your answer.
\newline
(
p
+
2
)
2
(p + 2)^2
(
p
+
2
)
2
Get tutor help
Find the product. Simplify your answer.
\newline
(
3
y
−
4
)
(
3
y
+
4
)
(3y - 4)(3y + 4)
(
3
y
−
4
)
(
3
y
+
4
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
t
+
1
)
(
t
−
1
)
(t + 1)(t - 1)
(
t
+
1
)
(
t
−
1
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
4
u
−
1
)
(
3
u
+
1
)
(4u - 1)(3u + 1)
(
4
u
−
1
)
(
3
u
+
1
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
3
r
−
4
)
(
r
+
1
)
(3r - 4)(r + 1)
(
3
r
−
4
)
(
r
+
1
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
2
r
−
3
)
(
r
−
3
)
(2r - 3)(r - 3)
(
2
r
−
3
)
(
r
−
3
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
3
g
−
4
)
(
2
g
+
4
)
(3g - 4)(2g + 4)
(
3
g
−
4
)
(
2
g
+
4
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
g
−
3
)
(
g
−
4
)
(g - 3)(g - 4)
(
g
−
3
)
(
g
−
4
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
4
v
+
4
)
(
v
+
3
)
(4v + 4)(v + 3)
(
4
v
+
4
)
(
v
+
3
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
2
f
+
2
)
(
2
f
+
4
)
(2f + 2)(2f + 4)
(
2
f
+
2
)
(
2
f
+
4
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
2
r
+
3
)
(
2
r
−
4
)
(2r + 3)(2r - 4)
(
2
r
+
3
)
(
2
r
−
4
)
Get tutor help
Find the product. Simplify your answer.
\newline
(
z
+
2
)
(
z
−
2
)
(z + 2)(z - 2)
(
z
+
2
)
(
z
−
2
)
Get tutor help
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2
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