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Mastering Expressions and Equations
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Ficha de revisão: Mastering Expressions and Equations
📋
Course Outline
Evaluating expressions and solving equations
📖
1. Evaluating expressions and solving equations
📝
Essential Points
When
a
=
3
a=3
a
=
3
and
b
=
5
b=5
b
=
5
,
a
+
2
b
=
3
+
2
⋅
5
=
13
a+2b=3+2\cdot5=13
a
+
2
b
=
3
+
2
⋅
5
=
13
.
Solving
3
x
+
4
=
19
3x+4=19
3
x
+
4
=
19
gives
3
x
=
15
3x=15
3
x
=
15
, so
x
=
5
x=5
x
=
5
.
⚠️
Common Pitfalls & Confusions
For
a
+
2
b
a+2b
a
+
2
b
, students may compute
a
+
b
a+b
a
+
b
instead of
a
+
2
b
a+2b
a
+
2
b
.
For
3
x
+
4
=
19
3x+4=19
3
x
+
4
=
19
, forgetting to subtract
4
4
4
first leads to an incorrect
x
x
x
.
For
3
x
=
15
3x=15
3
x
=
15
, students may divide by the wrong number (not
3
3
3
) to get
x
x
x
.
Arithmetic errors can happen when evaluating
3
+
2
⋅
5
3+2\cdot5
3
+
2
⋅
5
for
a
+
2
b
a+2b
a
+
2
b
.
Students may swap
x
x
x
’s value with the intermediate value
3
x
3x
3
x
.
✅
Exam Checklist
Substitute given values for variables to evaluate
a
+
2
b
a+2b
a
+
2
b
.
Compute
a
+
2
b
a+2b
a
+
2
b
correctly when
a
=
3
a=3
a
=
3
and
b
=
5
b=5
b
=
5
.
Solve a linear equation of the form
3
x
+
4
=
19
3x+4=19
3
x
+
4
=
19
by isolating
x
x
x
.
Find
x
x
x
correctly for
3
x
+
4
=
19
3x+4=19
3
x
+
4
=
19
.
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