Save
Expand and Simplify
Save
Share
Learn
Content
Leaderboard
Share
Learn
Cards (22)
What does expansion mean in algebra?
Multiplying out
brackets
in an expression
What are the steps to expand an algebraic expression?
Multiply each
term
inside the
bracket
by the term outside.
Apply the
distributive property
.
Simplify by combining like terms if necessary.
How do you expand
2
(
x
+
3
)
2(x + 3)
2
(
x
+
3
)
?
Multiply
to get
2
x
+
2x +
2
x
+
6
6
6
What does simplification mean in algebra?
Reducing complexity by combining
like terms
What is the process of simplification in algebra?
Combine
like terms
Perform basic
operations
Make expressions easier to understand
How can
4
x
+
4x +
4
x
+
2
y
−
3
x
+
2y - 3x +
2
y
−
3
x
+
y
y
y
be simplified?
It simplifies to
x
+
x +
x
+
3
y
3y
3
y
What is the order of operations in mathematics?
PEMDAS/BODMAS
indicates calculation sequence
What does PEMDAS/BODMAS stand for?
P/B:
Parentheses/Brackets
E/O:
Exponents/Orders
MD:
Multiplication and Division
AS:
Addition and Subtraction
What is the first step in the order of operations?
Resolve operations inside
brackets
first
What is the result of
(
2
+
3
)
×
4
(2 + 3) \times 4
(
2
+
3
)
×
4
?
20
How does the distributive property work?
Multiply
outside
term by each
inside
term
What is the general formula for the distributive property?
a
(
b
+
c
)
=
a(b + c) =
a
(
b
+
c
)
=
a
b
+
ab +
ab
+
a
c
ac
a
c
How do you apply the distributive property to
3
(
4
+
5
)
3(4 + 5)
3
(
4
+
5
)
?
It expands to
12
+
12 +
12
+
15
15
15
What is the result of expanding
2
(
x
+
3
y
)
2(x + 3y)
2
(
x
+
3
y
)
?
2
x
+
2x +
2
x
+
6
y
6y
6
y
What are the key points of the distributive property?
Multiply out
brackets
Works for
numbers
and
variables
Simplifies expressions by combining
like terms
What does combining like terms mean?
Simplifying by
grouping
similar
variable
terms
What are the steps to combine like terms?
Identify like terms
Group like terms
Add or subtract
coefficients
Combine
results
How do you simplify
3
x
+
3x +
3
x
+
5
x
2
−
2
x
+
5x^{2} - 2x +
5
x
2
−
2
x
+
4
x
2
4x^{2}
4
x
2
?
It simplifies to
x
+
x +
x
+
9
x
2
9x^{2}
9
x
2
What is the process of expanding algebraic expressions?
Distribute the term outside the
brackets
.
Multiply
constants
and add variables.
Simplify by combining
like terms
.
What is the result of expanding
4
(
2
x
−
3
)
+
4(2x - 3) +
4
(
2
x
−
3
)
+
5
x
5x
5
x
?
It simplifies to
13
x
−
12
13x - 12
13
x
−
12
What is the simplified form of
7
a
+
7a +
7
a
+
5
b
−
3
a
+
5b - 3a +
5
b
−
3
a
+
2
b
−
4
2b - 4
2
b
−
4
?
4
a
+
4a +
4
a
+
7
b
−
4
7b - 4
7
b
−
4
What are the key steps in expanding and simplifying expressions?
Expand brackets using the
distributive property
.
Combine like terms by adding or subtracting
coefficients
.