# Model and solve one-step linear equations: $ax = b$, $\frac{x}{a} = b$

### Model and solve one-step linear equations: $ax = b$, $\frac{x}{a} = b$

Linear equations which can be solved with a single operation are called one-step linear equations. In this section, we will try to solve one-step linear equations represented in diagrams and in equation form.

#### Lessons

• 1.
What is the equation represented by each diagram?
a)

b)

c)

d)

• 2.
Solve.
a)
$- 4x = 56$

b)
$3x = - 24$

c)
$\frac{x}{5} = - 7$

d)
$- 2 = \frac{x}{{ - 10}}$

• 3.
Betty is baking 5 cakes and has 2 cups of icing sugar to decorate the cakes. If there is 40 g of icing sugar in each cup, how much icing sugar can Betty use for each cake?
a)
What is the equation that represents the situation?

b)
Solve the equation.