Analyzing Steps Used to Solve an Equation

Question

Lorena solved the equation 5k – 3(2k – ) – 9 = 0. Her steps are below.

5k – 6k + 2 – 9 = 0
–k – 7 = 0
–k = 7
k =
Analyze Lorena’s work to determine which statements are correct. Check all that apply.

In Step 1, she correctly distributed –3 to the parentheses.
In Step 2, she combined like terms 5k and 2k.
In Step 3, she applied the multiplication property of equality to isolate the variable term.
In Step 4, she should have multiplied both sides by
–1 to isolate the variable.
Lorena found the correct solution to the linear equation.

Answer 1

- In Step 1, she correctly distributed -3 to the parentheses.
- In Step 2, she combined like terms 5k and -6k.
- In Step 3, she applied the addition property of equality to combine like terms and isolate the variable.
- In Step 4, she correctly multiplied both sides by -1 to isolate the variable.
- Lorena found the correct solution to the linear equation.