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Math Problems
Algebra 1
Multiply polynomials
Find the product. Simplify your answer.
\newline
(
4
v
+
4
)
(
v
+
3
)
(4v + 4)(v + 3)
(
4
v
+
4
)
(
v
+
3
)
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Find the product. Simplify your answer.
\newline
(
v
+
4
)
(
2
v
−
4
)
(v + 4)(2v - 4)
(
v
+
4
)
(
2
v
−
4
)
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Find the product. Simplify your answer.
\newline
(
4
u
−
4
)
(
3
u
−
4
)
(4u - 4)(3u - 4)
(
4
u
−
4
)
(
3
u
−
4
)
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Find the product. Simplify your answer.
\newline
(
4
g
+
1
)
(
3
g
−
1
)
(4g + 1)(3g - 1)
(
4
g
+
1
)
(
3
g
−
1
)
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Find the product. Simplify your answer.
\newline
(
j
−
2
)
(
j
−
1
)
(j - 2)(j - 1)
(
j
−
2
)
(
j
−
1
)
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Find the product. Simplify your answer.
\newline
(
4
r
−
4
)
(
2
r
+
4
)
(4r - 4)(2r + 4)
(
4
r
−
4
)
(
2
r
+
4
)
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Find the product. Simplify your answer.
\newline
(
n
−
1
)
(
3
n
−
1
)
(n - 1)(3n - 1)
(
n
−
1
)
(
3
n
−
1
)
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Find the product. Simplify your answer.
\newline
(
3
k
+
3
)
(
2
k
+
3
)
(3k + 3)(2k + 3)
(
3
k
+
3
)
(
2
k
+
3
)
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Find the product. Simplify your answer.
\newline
(
3
u
+
1
)
(
4
u
+
1
)
(3u + 1)(4u + 1)
(
3
u
+
1
)
(
4
u
+
1
)
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Find the product. Simplify your answer.
\newline
3
m
2
(
−
2
m
2
−
m
)
3m^2(-2m^2 - m)
3
m
2
(
−
2
m
2
−
m
)
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Find the product. Simplify your answer.
\newline
2
q
2
(
−
2
q
2
+
q
)
2q^2(-2q^2 + q)
2
q
2
(
−
2
q
2
+
q
)
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Find the product. Simplify your answer.
\newline
−
4
(
−
t
2
+
4
t
)
-4(-t^2 + 4t)
−
4
(
−
t
2
+
4
t
)
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Find the product. Simplify your answer.
\newline
−
3
p
(
p
2
+
2
)
-3p(p^2 + 2)
−
3
p
(
p
2
+
2
)
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Find the product. Simplify your answer.
\newline
−
4
n
(
−
n
2
−
3
n
)
-4n(-n^2 - 3n)
−
4
n
(
−
n
2
−
3
n
)
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Solve by the method of your choice.
\newline
Twenty-two people purchase raffle tickets. Three winning tickets are selected at random. If first prize is
$
1000
\$1000
$1000
, second prize is
$
500
\$500
$500
, and third prize is
$
100
\$100
$100
, in how many different ways can the prizes be awarded?
\newline
There are
□
\square
□
different ways in which the prizes can be awarded.
\newline
(Simplify your answer.)
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Solve for
x
x
x
. Enter the solutions from least to greatest.
\newline
(
2
x
+
4
)
(
3
x
−
2
)
=
0
(2x+4)(3x-2)=0
(
2
x
+
4
)
(
3
x
−
2
)
=
0
\newline
lesser
\newline
x
=
x=
x
=
\newline
greater
\newline
x
=
x=
x
=
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Solve for
x
x
x
. Enter the solutions from least to greatest.
(
3
x
−
6
)
(
−
x
+
3
)
=
0
(3x -6)(-x +3)=0
(
3
x
−
6
)
(
−
x
+
3
)
=
0
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Solve for
x
x
x
. Enter the solutions from least to greatest.
(
2
x
−
1
)
(
x
+
4
)
=
0
(2x-1)(x+4)=0
(
2
x
−
1
)
(
x
+
4
)
=
0
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Esteban has a big jar of change in his room. He has
600
600
600
coins total, and
240
240
240
of them are pennies. What percent of the coins are pennies? (Ignore the \% symbol when entering your answer. For example, if the answer is
11
%
11\%
11%
, enter
11
11
11
.)
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When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step?
\newline
Original Equation:
\newline
2
+
(
5
+
x
)
=
1
2+(5+x)=1
2
+
(
5
+
x
)
=
1
\newline
First Step:
\newline
(
2
+
5
)
+
x
=
1
(2+5)+x=1
(
2
+
5
)
+
x
=
1
\newline
subtraction property of equality
\newline
associative property of multiplication
\newline
associative property of addition
\newline
addition property of equality
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Click and drag like terms onto each other to simplify fully.
\newline
4
+
7
y
+
1
−
4
x
+
5
+
y
4+7 y+1-4 x+5+y
4
+
7
y
+
1
−
4
x
+
5
+
y
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Click and drag like terms onto each other to simplify fully.
\newline
1
+
6
y
−
3
+
1
1+6 y-3+1
1
+
6
y
−
3
+
1
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Lashawn makes scrambled eggs with
3
3
3
spoonfuls of salsa for every
2
2
2
eggs. Gilberta adds
7
7
7
spoonfuls of salsa for every
5
5
5
eggs.
\newline
Whose scrambled eggs have a stronger salsa taste?
\newline
Choose
1
1
1
answer:
\newline
(A) Lashawn's eggs
\newline
(B) Gilberta's eggs
\newline
(C) The dishes of scrambled eggs have equal salsa tastes.
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Emily thinks the perfect tomato sauce has
15
15
15
cloves of garlic in every
6
L
6\text{L}
6
L
of sauce. Raphael's tomato sauce has
25
25
25
cloves of garlic in every
9
L
9\text{L}
9
L
of sauce.
\newline
What will Emily think of the amount of garlic in Raphael's tomato sauce?
\newline
Choose
1
1
1
answer:
\newline
(A) Raphael's tomato sauce has too much garlic.
\newline
(B) Raphael's tomato sauce has too little garlic.
\newline
(C) Raphael's tomato sauce is perfect.
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Kermit's favorite iced tea uses
15
15
15
tea bags in every
2
2
2
liters of water. Peggy made a
12
12
12
-liter batch of iced tea with
90
90
90
tea bags. Peggy and Kermit keep the bags in the water the same amount of time.
\newline
What will Kermit think of Peggy's iced tea?
\newline
Choose
1
1
1
answer:
\newline
(A) Peggy's iced tea is too strong.
\newline
(B) Peggy's iced tea is too weak.
\newline
(C) Peggy's iced tea is just right.
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Kermit's favorite iced tea uses
15
15
15
tea bags in every
2
2
2
liters of water. Peggy made a
12
12
12
-liter batch of iced tea with
90
90
90
tea bags. Peggy and Kermit keep the bags in the water the same amount of time.
\newline
What will Kermit think of Peggy's iced tea?
\newline
Choose
1
1
1
answer:
\newline
(A) Peggy's iced tea is too strong.
\newline
(B) Peggy's iced tea is too weak.
\newline
(C) Peggy's iced tea is just right.
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Prior to the
2014
2014
2014
elections,
1
1
1
,
000
000
000
randomly selected Louisiana voters were surveyed about what single issue would most likely influence their vote. Of those surveyed,
560
560
560
voters answered that the state of the economy would most influence their vote. Based on this information, which statement about all voters in Louisiana is most appropriate?
\newline
Choose
1
1
1
answer:
\newline
(A) Exactly
56
%
56 \%
56%
of all Louisiana voters thought the state of the economy would most influence their voting.
\newline
(B) Approximately
56
%
56 \%
56%
of all Louisiana voters thought the state of the economy would most influence their voting.
\newline
(C) Exactly
56
%
56 \%
56%
of Louisiana voters would vote for the candidate with the best plan to improve the economy.
\newline
(D) Approximately
56
%
56 \%
56%
of Louisiana voters would vote for the candidate with the best plan to improve the economy.
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Jerome is
5.5
5.5
5.5
feet tall. What is his height in inches?
\newline
(
1
1
1
foot
=
12
=12
=
12
inches)
\newline
Choose
1
1
1
answer:
\newline
(A)
55
55
55
\newline
(B)
60
60
60
\newline
(C)
66
66
66
\newline
(D)
72
72
72
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The amount of money in Jim's bank account changes at a rate of
r
(
t
)
r(t)
r
(
t
)
dollars per month (where
t
t
t
is time in months).
\newline
What does
∫
0
1
r
(
t
)
d
t
=
−
100
\int_{0}^{1} r(t) d t=-100
∫
0
1
r
(
t
)
d
t
=
−
100
mean?
\newline
Choose
1
1
1
answer:
\newline
(A) The amount of money in Jim's account increases by
$
100
\$ 100
$100
each month.
\newline
(B) Over the first month, the amount of money in Jim's account decreased by
$
100
\$ 100
$100
.
\newline
(C) After one month, the amount of money in Jim's account was
−
$
100
-\$ 100
−
$100
.
\newline
(D) The amount of money in Jim's account decreases by
$
100
\$ 100
$100
each month.
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Solve for
x
x
x
.
\newline
Your answer must be simplified.
\newline
−
7
x
>
10
-7 x>10
−
7
x
>
10
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Find the sum of the first
9
9
9
terms in the following geometric series. Do not round your answer.
\newline
7
+
21
+
63
+
…
7+21+63+\ldots
7
+
21
+
63
+
…
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