Common Core Algebraic Manipulation Worksheet
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2Name: ________________________
Date: ______________
9H Common Core Algebra – Mixed Review Practice #2
Work separately on loose-leaf and graph paper.
1.
Graph the following equations by finding the x and y intercept.
a.
5x – 3y = 15
b. x – y = -7
2.
Calculate the slope of the line that passes through each pair of points:
a. (-4, 4), (2,-5)
b. (-8, 0), (1, 5)
c. (-5, ½), (-5, 3)
d. (0, 3.5), (-4,2.5)
3. Find the slope and y-intercept of each equation:
a. y = -x – 7
b. 2y – 6 = 3x
c. -2y = 6(5 – 3x)
4.
Write the equation of a line in slope-intercept form that:
a. has a slope of -3/4 and passes through the point (4,-1)
b. passes through the points (-4, 10) and (6, 5)
5. Graph the following equations:
a.
y = (-3/2)x
b. y = -5x + 2
c. y = ½x + 4
d. y = 3
6. Write an equation in point-slope form for the line that has a slope of -3 and that passes through
the point (-1, 7).
7. Write an equation in point-slope form for the line that passes through the points (2,3) and (-1,-5).
8. Graph the following equations:
2
3
7
-
a. y + 1 =
(x + 4)
b. y – 2 =
(x - 3)
c. y + 3 =
(x - 5)
3
2
2
9. Solve the following systems graphically:
3
x
4
y
12
y
2
x
6
a.
b.
2
x
4
y
8
4
x
2
y
8
10. Solve the following systems using substitution:
1
y
4
x
12
3
x
5
y
2
2
a.
b.
x
4
y
4
1
y
x
4
4
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