Algebraic Manipulation Worksheets - Algebra 2 Unit 5 (Chapter 4) - Buchanan Math Department Page 2

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Worksheet 0
Graph the following.
≥ −
y
2
x
1.
2x + y = 4
2.
3x + y > –3
3.
y
1
Multiply in problems 4 – 6.
1
xy
2
6
7
3
3
2
4.
(4x
y
)
5.
2x(x + 3)
6.
x y
2
5
10
Factor completely.
2
2
4
4
7. 5x
+ 6x + 1
8. 6x
– 20x + 14
9. 9x
– 9y
c
Find the value of
that makes the expression a perfect square trinomial.
2
2
c
c
9.
x
+ 100x +
10.
x
– 9x +
Solve using the quadratic formula. Express answers in simplest form.
2
2
11.
x
+ 3x + 1 = 0
12.
2x
+ 5x = 7
13.
The product of two consecutive positive integers is 26 more than twice their
sum. What are the integers?
14.
Find two consecutive positive even integers such that the square of the
smaller is 4 more than 4 times the larger.

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