Linear Equations Worksheet With Answers Page 2
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1
2
3
4
5
6
73 =
Examples:
x
18
3
18
← Divide both sides by 3 to leave x by itself.
=
x
3
3
=
x
6
3
2
=
x
4
5
4
3
2
4
3
4
← Multiply both sides by the reciprocal of
⋅ x
=
⋅
, which is
.
3
4
5
3
4
3
8
=
x
15
+
=
3. Equations of the form
ax
b
c
.
This type of linear equation presents a combination of the first two forms of linear equations. The
first step in solving this form of linear equations is to eliminate constant (the number unattached to
any variable). To do this add or subtract the same quantity to both sides of the equation. Next,
eliminate the number attached to the variable by dividing or multiplying, depending on the case, to
both sides of the equation. The idea is to leave variables on one side of the equal sign and constants
on the other side of the equal sign.
+
=
Examples:
3
y
7
25
← Subtract 7 from both sides to remove it from the left side.
+
−
=
−
3
y
7
7
25
7
3 =
y
18
3
18
← Divide both sides by 3 to leave y alone and solve for y.
=
y
3
3
=
y
6
8
← Follow the steps described above to solve for x.
+
=
−
x
2
1
5
8
+
−
=
−
−
x
2
2
1
2
5
8
=
−
x
3
5
5
8
3
5
⋅
=
−
⋅
x
8
5
1
8
15
=
−
x
8
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