Section 3.3 Deliberate Practice: Combining Like Terms
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 expression.
Line up your equal signs.
Show the distribution step, the rearrangement step, the grouping step, and the arithmetic step.
Be careful with negative signs and the distributive property.
Present your work legibly.
Worksheet Worksheet
Instructions: Simplify the expression.
1.
Simplify \((3x + 5y) + 2(6x - 4y)\text{.}\)
2.
Simplify \(2(4a - 3b) - 3(-3a -2b)\text{.}\)
3.
Simplify \(-3(-4m + 2n + 4) + 2 (3m - 3n + 7)\text{.}\)
4.
Simplify \(4(-3r + 7s - 3) - 3 (2r - 3s - 4)\text{.}\)
5.
Simplify \(-4(5x + 3y - 2z) - (-3x + 4y + 3z)\text{.}\)
6.
Simplify \(3(r^2 + 2s^2 - 4) + 5(-2r^2 + s^2 - 3)\text{.}\)
7.
Simplify \(-2(3x^2 + 7xy - 4y^2) + 3(2x^2 - 3xy + 5y^2)\text{.}\)
8.
Simplify \(4(2m - 5n + 1) - 2 (-3m + 2n - 3) + 5(m + 4n - 2)\text{.}\)
9.
Simplify \(4 (x^2 - 4x + 1) + 3(-2x^2 + 3x - 4) - (-2x^2 - 5)\text{.}\)
10.
Simplify \(2(r^3 - 3r^2s + s^3) - 3(2r^3 + 3rs^2 - 5s^3) + 2(r^2s - rs^2)\text{.}\)