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Math Problems
Grade 8
Add and subtract integers: word problems
The stock of Company A lost
$
2.25
\$ 2.25
$2.25
throughout the day and ended at a value of
$
33.75
\$ 33.75
$33.75
. By what percentage did the stock decline?
\newline
Answer:
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\newline
Jimmy receives his first
3
3
3
video games free then pays
$
50
\$ 50
$50
for each game after that.
\newline
Is the amount of money he spends on video games proportional to the number of games he owns?
\newline
Choose
1
1
1
answer:
\newline
(A) Yes
\newline
(B) No
\newline
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Question
1
1
1
of
5
5
5
\newline
You are skiing on a mountain with an altitude of
1200
1200
1200
meters. The angle of depression is
2
1
∘
21^{\circ}
2
1
∘
. You are trying to find the distance you will be sking down the mountain. Which trigonometric function will you use to solve this?
\newline
Select the correct response.
\newline
cos
\cos
cos
\newline
sin
\sin
sin
\newline
tan
\tan
tan
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A scientist uses a submarine to study ocean life.
\newline
- She begins
85
85
85
feet below sea level.
\newline
- After ascending for
8
8
8
seconds, she's
62
62
62
feet below sea level.
\newline
Find the rate of change in the submarine's elevation in feet per second. If necessary, round your answer to the nearest tenth.
\newline
Answer:
□
\square
□
f
t
/
s
\mathrm{ft} / \mathrm{s}
ft
/
s
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Isabella spends a winter day recording the temperature once every three hours for science class. At
9
a
m
9 \mathrm{am}
9
am
, the temperature was
−
12.
6
∘
F
-12.6^{\circ} \mathrm{F}
−
12.
6
∘
F
. Between
9
a
m
9 \mathrm{am}
9
am
and noon, the temperature increased by
7.
7
∘
F
7.7^{\circ} \mathrm{F}
7.
7
∘
F
. Between noon and
3
p
m
3 \mathrm{pm}
3
pm
, the temperature rose
19.
8
∘
F
19.8^{\circ} \mathrm{F}
19.
8
∘
F
. Between
3
p
m
3 \mathrm{pm}
3
pm
and
6
p
m
6 \mathrm{pm}
6
pm
, the temperature decreased by
18.
4
∘
F
18.4^{\circ} \mathrm{F}
18.
4
∘
F
. What was the temperature at
6
p
m
6 \mathrm{pm}
6
pm
?
\newline
Answer:
□
\square
□
∘
F
^{\circ} \mathrm{F}
∘
F
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Yesterday, between noon and midnight, the temperature dropped by
30.
7
∘
F
30.7^{\circ} \mathrm{F}
30.
7
∘
F
. If the temperature was
−
4.
2
∘
F
-4.2^{\circ} \mathrm{F}
−
4.
2
∘
F
at midnight, what was it at noon?
\newline
Answer:
□
\square
□
∘
F
{ }^{\circ} \mathrm{F}
∘
F
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Corey and Yin are trying to decide who will get to choose where they go for lunch. They decide to flip a coin until it lands showing heads. If the first flip shows heads, then Corey gets to choose. If heads shows on the second flip or later, then Yin gets to choose.
\newline
Is this a fair way to decide who chooses where they go lunch? Why or why not?
\newline
Choose
1
1
1
answer:
\newline
(A) No, Corey is most likely to get to choose.
\newline
(B) No, Yin is most likely to get to choose.
\newline
(C) Yes, they both have an equal probability of choosing.
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At Imelda's fruit stand, you bought
5
5
5
apples and
4
4
4
oranges for
$
10
\$10
$10
, and your friend bought
5
5
5
apples and
5
5
5
oranges for
$
11
\$11
$11
. Using this information, is it possible to determine the cost of one apple and one orange from the fruit stand? If so, what do they cost? If not, why not?
\newline
Choose
1
1
1
answer:
\newline
(A) Yes; they should charge
$
1.00
\$1.00
$1.00
for an apple and
$
1.25
\$1.25
$1.25
for an orange.
\newline
(B) Yes; they should charge
$
1.20
\$1.20
$1.20
for an apple and
$
1.00
\$1.00
$1.00
for an orange.
\newline
(C) No; the system has many solutions.
\newline
(D) No; the system has no solution.
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Katy tried to solve an equation step by step.
\newline
r
−
3
=
14.3
r-3=14.3
r
−
3
=
14.3
\newline
r
−
3
+
3
=
14.3
−
3
r-3+3=14.3-3 \quad
r
−
3
+
3
=
14.3
−
3
Step
1
1
1
\newline
r
=
11.3
r=11.3 \quad
r
=
11.3
Step
2
2
2
\newline
Find Katy's mistake?
\newline
Choose
1
1
1
answer:
\newline
(A) Step
1
1
1
\newline
(B) Step
2
2
2
\newline
(C) Katy did not make a mistake
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Katy tried to solve an equation step by step.
\newline
r
−
3
=
14.3
r-3=14.3
r
−
3
=
14.3
\newline
r
−
3
+
3
=
14.3
−
3
r-3+3=14.3-3 \quad
r
−
3
+
3
=
14.3
−
3
Step
1
1
1
\newline
r
=
11.3
r=11.3 \quad
r
=
11.3
Step
2
2
2
\newline
Find Katy's mistake?
\newline
Choose
1
1
1
answer:
\newline
(A) Step
1
1
1
\newline
(B) Step
2
2
2
\newline
(C) Katy did not make a mistake
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Katy tried to solve an equation.
\newline
r
−
3
=
14.3
r-3=14.3
r
−
3
=
14.3
\newline
r
−
3
+
3
=
14.3
−
3
r-3+3=14.3-3 \quad
r
−
3
+
3
=
14.3
−
3
Setting up
\newline
r
=
11.3
r=11.3 \quad
r
=
11.3
Calculating
\newline
Where did Katy make her first mistake?
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