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Solve one-step and two-step linear equations.
Algebra · MA4-EQU-C-01
Sub-topics
One-step equations
Solve equations that require a single inverse operation.
Two-step equations
Solve equations that require two inverse operations, including equations with negatives, fractions, and variables on both sides.
Open Math
Equations
Algebra · MA4-EQU-C-01
Name:
Date:
One-step equations
Q1
Straightforward
Solve
x
+
5
=
12
x + 5 = 12
x
+
5
=
12
.
Q2
Straightforward
Solve
x
+
3
=
−
2
x + 3 = -2
x
+
3
=
−
2
.
Q3
Straightforward
Solve
4
x
=
28
4x = 28
4
x
=
28
.
Q4
Straightforward
Solve
3
x
=
−
15
3x = -15
3
x
=
−
15
.
Q5
Moderate
Solve
x
−
7
=
−
3
x - 7 = -3
x
−
7
=
−
3
.
Q6
Moderate
Solve
x
−
4
=
−
9
x - 4 = -9
x
−
4
=
−
9
.
Q7
Moderate
Solve
x
5
=
−
3
\dfrac{x}{5} = -3
5
x
=
−
3
.
Q8
Moderate
Solve
x
−
4
=
6
\dfrac{x}{-4} = 6
−
4
x
=
6
.
Q9
Challenging
Solve
3
x
=
5
3x = 5
3
x
=
5
. Give your answer as a fraction.
Q10
Challenging
Solve
3
5
x
=
6
\dfrac{3}{5}x = 6
5
3
x
=
6
.
Q11
Challenging
Solve
x
+
1
4
=
3
4
x + \dfrac{1}{4} = \dfrac{3}{4}
x
+
4
1
=
4
3
. Give your answer as a fraction.
Q12
Challenging
Solve
−
14
=
7
x
-14 = 7x
−
14
=
7
x
.
Two-step equations
Q13
Straightforward
Solve
2
x
+
3
=
11
2x + 3 = 11
2
x
+
3
=
11
.
Q14
Straightforward
Solve
3
x
+
1
=
10
3x + 1 = 10
3
x
+
1
=
10
.
Q15
Straightforward
Solve
4
x
−
5
=
15
4x - 5 = 15
4
x
−
5
=
15
.
Q16
Straightforward
Solve
6
x
+
2
=
20
6x + 2 = 20
6
x
+
2
=
20
.
Q17
Moderate
Solve
3
x
−
7
=
−
1
3x - 7 = -1
3
x
−
7
=
−
1
.
Q18
Moderate
Solve
x
3
+
4
=
7
\dfrac{x}{3} + 4 = 7
3
x
+
4
=
7
.
Q19
Moderate
Solve
2
x
+
9
=
−
1
2x + 9 = -1
2
x
+
9
=
−
1
.
Q20
Moderate
Solve
x
4
−
2
=
1
\dfrac{x}{4} - 2 = 1
4
x
−
2
=
1
.
Q21
Challenging
Solve
3
x
+
2
=
x
+
10
3x + 2 = x + 10
3
x
+
2
=
x
+
10
.
Q22
Challenging
Solve
4
x
−
3
=
2
x
+
7
4x - 3 = 2x + 7
4
x
−
3
=
2
x
+
7
.
Q23
Challenging
Solve
5
x
+
1
=
8
x
−
8
5x + 1 = 8x - 8
5
x
+
1
=
8
x
−
8
.
Q24
Challenging
Solve
7
x
−
4
=
4
x
+
11
7x - 4 = 4x + 11
7
x
−
4
=
4
x
+
11
.
Worked solutions and answers at openmath.au/year-7/equations