Lesson 06: Strategic Solving | Unit 4: Linear Equations and Linear Systems

Open Ended

Solve the equation $$2b+8-5b+3=-13+8b-5$$ . Explain or show your reasoning.

Open Ended

Solve the equation 2x+7-5x+8=3(5+6x)-12x. Explain or show your reasoning.

Open Ended

Solve the equation $$2c-3=2(6-c)+7c$$ . Explain or show your reasoning.

Multiple Choice

Solve the equation $$-3w-4=w+3$$ and select the correct solution.

• w = 4/3
• w = -7/4
• w = -1
• w = 3

Multiple Choice

What is the solution to the equation 3(3-3x)=2(x+3)-30?

• 3
• 6
• -3
• 0

Multiple Choice

What is the solution to the equation $$\frac{1}{3}(z+4)-6=\frac{2}{3}(5-z)$$ ?

• 4
• -2
• 10
• 8

Open Ended

Elena said the equation $$9x+15=3x+15$$ has no solutions because $$9x$$ is greater than $$3x$$ . Do you agree with Elena? Explain your reasoning.

Multiple Choice

What is the solution to the equation $$3x-6=4(2-3x)-8x$$ ?

• 2
• -1
• 14/23
• 10/23

Multiple Choice

What is the solution to the equation $$\frac{1}{2}z+6=\frac{3}{2}(z+6)$$ ?

• -6
• 3
• 0
• -3

Multiple Choice

What is the solution to the equation 9-7w=8w+8?

• 1/15
• 1/10
• 2/5
• 3/4