Section 4.3 Deliberate Practice: Solving Equations for a Variable (Part 2)
Algebra is a skill, which means it requires practice to become proficient. But it will take more than rote repetition to get there. Deliberate practice is the thoughtful repetition of a task. For each of these sections, you will be given a list of specific skills or ideas to focus on as you practice thinking through the problems.
Focus on these skills:
Write the original equation.
Line up your equal signs.
Be careful with negative signs and the distributive property.
Present your work legibly.
Worksheet Worksheet
Instructions: Solve the equation for the variable.
1.
Solve \(-8n + 4(1 + 5n) = -6n - 13\) for the variable \(n\text{.}\)
2.
Solve \(8x + 4(4x - 3) = 4(6x - 4) + 4\) for the variable \(x\text{.}\)
3.
Solve \(-3(v - 1) + 8(v - 3) = 6v + 7 - 5v\) for the variable \(v\text{.}\)
4.
Solve \(4m - 40 = 7(-2m + 3)\) for the variable \(m\text{.}\)
5.
Solve \(-47 + p = -5(8p + 10)\) for the variable \(p\text{.}\)
6.
Solve \(9(x - 9) - 3 = -4(2x + 4)\) for the variable \(x\text{.}\)
7.
Solve \(-2(2 + a) + 1 = 3(2 - 3a)\) for the variable \(a\text{.}\)
8.
Solve \(4(-8y + 5) = -15y - 26\) for the variable \(y\text{.}\)
9.
Solve \(-7(5 + x) = -56 - 6x\) for the variable \(x\text{.}\)
10.
Solve \(6m + 2(13m - 5) + 2 = -2(4 - 16m)\) for the variable \(m\text{.}\)