Distribute — Grade 8 Math, what it means and where it is taught
Multiply a bracket out: 3(x + 4) = 3x + 12.
Taught in Grade 8 Math.
Where it is taught
Practise this idea
17 questions in the course bank use Distribute, in Representing Other Algebraic Relationships, Solving Equations, Solving Inequalities, Multi-Step Equations, Expressions, Structure & Units, Solving Equations & Literal Equations. The first 8 are below; the rest are in those units.
Problem 1
Simplify 4(x + 2) + 3(x - 5).
Worked answer
7x-7
4x + 8 and 3x - 15
4x + 3x = 7x
8 - 15 = -7
7x - 7
Problem 2
Solve 2(x + 3) = 14.
Worked answer
4
2x + 6 = 14
2x = 8
x = 4
Problem 3
Solve 5(x - 2) = 3(x + 4).
Worked answer
11
5x - 10 = 3x + 12
2x - 10 = 12
2x = 22
x = 11
Problem 4
Solve -3(x - 2) < 12. Enter your answer like x>-2.
Worked answer
x>-2
-3x + 6 < 12
-3x < 6
Divide by -3 and flip: x > -2
Problem 5
Solve 3(x + 4) = 27.
Worked answer
5
3x + 12 = 27
3x = 15
x = 5
Problem 6
Solve 2(n - 7) = 10.
Worked answer
12
2n - 14 = 10
2n = 24
n = 12
Problem 7
Solve 5(2x - 3) = 3(x + 6).
Worked answer
33/7
10x - 15 = 3x + 18
7x = 33
x = 337
Problem 8
How many solutions does 4(x + 2) = 4x + 8 have?
- Infinitely many
- Exactly one
- None
- Exactly two
Worked answer
Infinitely many
4x + 8 = 4x + 8
The two sides are identical
Every value of x works