Lesson 05: Solving Any Linear Equation | Unit 4: Linear Equations and Linear Systems

Open Ended

Solve the equation $$2(x+5)=3x+1$$ . Explain or show your reasoning.

Open Ended

Solve the equation 3y-4=6-2y. Explain or show your reasoning.

Open Ended

Solve the equation $$3(n+2)=9(6-n)$$ . Explain or show your reasoning.

Multiple Choice

Clare solves an equation, but when she checks her answer she notices that her solution is incorrect. She knows she made an error, but she can’t find it. Help Clare find the error and correctly solve the equation.

What is the correct value of y?

• 3.142857
• -5.9091
• -4.5
• -10.25

Multiple Choice

What is the solution to the equation $$\frac19(2m-16) = \frac13(2m+4)$$ ?

• -5
• -7
• 0
• 3

Multiple Choice

What is the solution to the equation $$-4(r+2)=4(2-2r)$$ ?

• -4
• 0
• -2
• 4

Multiple Choice

What is the solution to the equation $$12(5+2y)=4y-(6-9y)$$ ?

• 3
• -6
• -2
• 0

Open Ended

Solve the equation $$2(3x+2)=2x+28$$ . Explain or show your reasoning.

Open Ended

Solve the equation $$5y+13=-43-3y$$ . Explain or show your reasoning.

Open Ended

Solve the equation $$4(2a+2)=8(2-3a)$$ . Explain or show your reasoning.