Download Answers - Grade 6/ Middle School Math

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Transcript
Name: ____________________________________ Date: _____________________________
8th Grade CHAPTER 3
Practice 1
Solve each 2-step equation. (2pt each)
1) 8a – 2 = 19.6
Answers
1) a=2.7
8a = 21.6
a = 2.7
Solve each multi-step equation. (3pts each)
2) –11.4x + 3(2x – 23) = –73.86
2) x = 0.9
-11.4x + 6x – 69 = -73.86
-5.4x – 69 = -73.86
-5.4x = -4.86
x = 0.9
3) 8(d – 3) – 2d = d + 61
3) d = 17
8d – 24 – 2d = d + 61
6d – 24 = d + 61
5d – 24 = 61
5d = 85
d = 17
4) A brand of perfume costs $98.60 for 20fl.oz. Find the unit rate. (3pts)
4) $4.93 per fl.oz
98.60/20 = $4.93 per fl.oz
1
5) Suppose you traveled 84 miles in 1 hours. Moving at the same speed, how
2
1
many miles would you travel in 3 hours? (3pts)
4
84/1.5 = 56 mph, 3.25 x 56 = 182 miles
5) 182 miles
6)
8n +1 30
=
5
6
6) n = 3
6(8n + 1) = 5 x 30
48n + 6 = 150
48n =Class
144_________________
______________
n=3
Solve. (3pts each)
7)
A
ing measure.
3.
25
x
7) x = 15
X
10
6
Z
C
8
Y
B
X = 6
25 ________________________
10
______
________________________ Date __________________ Class _________________
eB
6.
Between which two consecutive whole numbers is each square root? (2pts)
agorean Theorem
8)
275
8) 16 and 17
an Theorem to find each missing measure.
______
________
______
der
e
________
er
enth.
2.
3.
________________________
Use Pythagorean Theorem to solve. (3pts each)
9.
9)
________________________
________________________
5.
6.
A2 +________________________
B2 = C2
202 + B2 = 252
B2 = 625 - 400
B2 = 225 _________________
________________________
B = 15
10) 8.
________________________
9.
10) c = 30
_________________
y
s?
________
_________________
________________________
A2 + B2 = C2
e.
2 the ladder
leaning against
a 2wall.
182 + 24
= CIf
le
base of the
wall,
how
324
+ 576
= high
C2 above
_________________
s the ladder
touch
wall?
900
= C2the
C = 30
is 10 inches long on each side.
th of the diagonal from one corner
und your answer to the nearest tenth.
9) b = 15
________________________
_________________
_________________