Instructions
Read each problem carefully and solve for the variable. Show all your work in the space provided.
1. Distributing and Solving
Solve the equation: 3(x + 4) = 27
Step 1: Distribute the 3 to both terms inside the parentheses.
Answer:
Step 2: Simplify the equation.
Answer:
Step 3: Solve for x.
Answer:
2. Applying Distribution in a Real-World Scenario
A school is planning a field trip and the cost per student is given by the equation: 5(n + 2) = c, where n is the number of students and c is the total cost.
If there are 10 students, what is the total cost if all costs above are included?
Step 1: Substitute 10 in for n.
Answer:
Step 2: Distribute to find c.
Answer:
3. Create Your Own Equation
Using the form a(b + c) = d, create your own equation where:
- a = 4
- b = 3
- c = 5
Write the equation:
Solve the equation for d:
Answer:
4. Word Problem
A gardener is planting flowers. Each flower costs $2, and he buys 3 flower pots. Write an equation to represent the total cost (C) of the flowers in terms of the number of flowers (f).
Equation:
If he buys 10 flowers, what is the total cost?
Answer: