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Cards (20)
What is an
equation
?
An equation is a statement with an
equal sign
(=) showing two expressions are equal.
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What does
solving
an
equation
involve?
Solving an equation involves finding the value for which the two
expressions
are equal.
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Can
equations
be true all the time?
No, equations are not
always
true.
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What is an
identity
?
An identity is an equation that is always true, regardless of the values of the
variables
.
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How can an
identity
be represented?
An identity can be written with the sign
≡
.
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Give an example of an
identity
.
2x + 3x
≡
5x
is an identity.
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What is a
number machine
?
A way of showing rules using a
flow diagram
.
It illustrates the
operations
applied to a
variable
.
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How can the equation 3J - 6 = 9 be represented in a number machine?
J → ×3 → -6 = 9 represents the
operations
applied to J.
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What does the number machine representation
J
→
×3
→ -6 =
9
mean?
It means J has been
multiplied
by 3, then 6 has been subtracted, resulting in 9.
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How do you solve
equations
using
number machines
?
First write the equation as a number machine, then reverse each step.
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What is the
balance method
in solving equations?
The balance method involves applying the same operation to
both
sides of the equation to keep it balanced.
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Solve the
equation
3a
+ 8 = 26 using the
balance method
.
Subtract 8 from each side to get 3a =
18
, then divide by 3 to find a = 6.
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What is the
first step
to solve the equation 5(2c - 3) =
19
?
The first step is to
expand
the bracket to get
10c
- 15 = 19.
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What do you do after expanding the
bracket
in the
equation
5(2c - 3) =
19
?
After expanding, simplify the equation to get
10c
- 15 = 19.
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How do you
isolate
c in the equation
10c
- 15 = 19?
Add 15 to both sides to get 10c = 34, then divide by 10 to find c =
3.4
.
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What should you do when an equation includes fractions?
Use
inverse operations
to keep the equation
balanced
.
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How do you solve the equation 35 + 9 = 7/
4
?
Multiply both sides by 4 to eliminate the
fraction
, resulting in 35 + 9 = 28.
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What is the process to solve an
equation
with
fractions
?
The process involves doing the
opposite
operations
to each side to maintain balance.
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What are the key steps in solving equations with
brackets
?
Expand the bracket.
Simplify the equation.
Use the
balance method
to isolate the
variable
.
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What is the
BIDMAS
rule?
BIDMAS stands for
Brackets
,
Indices
,
Division
and
Multiplication
,
Addition
and
Subtraction
.
It is used to determine the order of operations in calculations.
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