Algebra Ii Worksheet With Answers
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10Algebra II
Name:
Worksheet #1 (§3 – 2)
Rewriting Linear Equations
Rewrite each linear equation in Slope-Intercept Form. (See Notes, p.3)
1.
2 x + 3 y = 4
SLOPE-INTERCEPT FORM
2.
3 x − y = 2
y = mx + b
3.
x + 5 y = 10
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or
4.
x − y = 3
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y = ___ x ± ___
5.
x + y = −2
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€
5 x + 6 y = 30
6.
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the coefficient of y must be positive 1.
3 x + 2 y = 6
7.
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3 x − 5 y = 15
8.
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9.
x + 2 y = 5
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10.
3 x − 4 y = 2
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Rewrite each linear equation in Standard (General) Form.
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1
11.
y =
x − 3
2
STANDARD (GENERAL) FORM
12.
y = x − 4
Ax + By = C
13.
y = − x + 5
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or
14.
y = 2 x − 7
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___ x ± ___ y = ____
2
y =
x − 4
15.
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3
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€
5
3
A, B and C must be integers (not
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y = −
x −
16.
fractions).
2
2
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17.
y = −6 x + 1
A must be positive.
3
y =
x − 1
18.
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5
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3
1
Answers:
19.
y = −
x +
2
4
1
3
4
2
1.#y = −
x +
##3.#y = −
x + 2##5.#y = −x − 2##7.#y = −
x + 3
3
3
5
2
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1
1
5
9.#y = −
x +
##11.#x − 2y = 6##13.#x + y = 5##15.#2x − 3y = 12
y = 3 x −
20.
2
2
2
17.#6x + y = 1##19.#3x + 4y = 2
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