Algebraic Manipulation Worksheet With Answers - Arlington Public Schools
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122015 SUMMER REVIEW FOR STUDENTS COMPLETING ALGEBRA I
WEEK 1
1.
Write the slope-intercept form of an equation of a
2. Write a definition of slope.
7
line with a slope of
, and a y-intercept of –3.
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3. You want to place a buried treasure chest halfway
x
2
4. Solve for x:
=
between a tree at (25, 175) and a large boulder at
x + 4
x
(200, 75). Use the midpoint formula to find the
coordinates of the treasure chest.
x
x
y
y
1
2
1
2
,
2
2
3
3
5. Use the FOIL pattern to multiply (4x 2)(x + 3).
6. Simplify using exponent rules: (6x
)(2x)
7. Graph the linear system to determine the number of
8. Draw a line with the given slope:
solutions.
3x + y = 6
1
a) positive
b) negative
y = 2
x
3
c) zero
d) undefined
9. Solve for r: r – 8 = 7
10. Write an equation of the line that passes through
(8, 9) and (10, 3).
Arlington Public Schools, 2015
Page 1
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