Unit 4, Lesson 3
Combining Like Terms (Part 1)
Accelerated 7
Practice
Problem 1
Andre says that \(10x+6\) and \(5x+11\) are equivalent because they both equal 16 when \(x\) is 1. Do you agree with Andre? Explain your reasoning.
Problem 2
Select all expressions that can be subtracted from \(9x\) to result in the expression \(3x+5\).
\(\text-5+6x\)
\(5-6x\)
\(6x+5\)
\(6x-5\)
\(\text-6x+5\)
Problem 3
Select all the statements that are true for any value of \(x\).
\(7x + (2x+7) = 9x+7\)
\(7x + (2x - 1) = 9x + 1\)
\(\frac12 x+(3 - \frac12 x)=3\)
\(5x - (8 - 6x) =\text-x-8\)
\(0.4x - (0.2x+8) =0.2x-8\)
\(6x - (2x -4)=4x+4\)
Problem 4
Select all the expressions that are equivalent to \(10-3w\).
\(3w-10\)
\(\text- 3w + 10\)
\(\text- 10+3w\)
\(10+3w\)
\(10 + \text-3w\)
Problem 5
Here is an inequality: \(\text-3x > 18\).
- List some values for \(x\) that would make this inequality true.
- How are the values that make the inequality \(\text-3x \geq 18\) true different from the values that make \(\text-3x > 18\) true?
Problem 6
Angles \(C\) and \(D\) are complementary. The ratio of the measure of angle \(C\) to the measure of angle \(D\) is \(2:3\). Find the measure of each angle. Explain or show your reasoning.