SME
Grade 6 Math · Problem type
One-step multiplication equations
Use this for “Solve 12 = 5a,” or 0.4d = 2.8.
Diagram
4x = 30
4 × 7.5 = 30
This is an example. Type your own values to start a new problem.
x
=
x
=
Formulas
px
=
q
(coefficient
×
unknown
number
=
product)
4 × 7.5 = 30
Assumptions
•
4x means 4 × x.
•
Dividing undoes multiplying: divide both sides by the same number.
•
Check by putting the answer back in.
Step-by-step
WE KNOW
p = 4 (coefficient), q = 30 (product)
FIND
unknown number (x)
Step 1 · Find unknown number (x)
Use px = q (coefficient × unknown number = product)
Divide
both
sides
by
4:
it
keeps
the
balance
and
leaves
x
alone.
4
x
=
30
4
x
4
=
30
4
x
=
30
4
7
.
5
4
)
3
0
.
0
−
2
8
2
0
−
2
0
0
x
=
7.5
Check
Put the numbers back in. Both sides should match.
4 × 7.5 = 30 ✓
Topic check
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Equations and inequalities
Main lesson
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Write equations in one variable
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Inequalities and their graphs
Use this for “Which inequality matches the graph?”: x > 3, x ≥ 3, x < 3 or x ≤ 3.