SAVVAS 2.4 Types of Equations Quizziz

Match

Match the following

• Once simplified the equation has a variable on one side and answer on the other side

• After simplifying the variable canceled out, and the statement you are left with is not true Example: 4=5

• After simplifying the variable canceled out, and the statement you are left with is TRUE EX: 2=2

ONE SOLUTION

NO SOLUTION

INFINITE SOLUTIONS

• ONE SOLUTION

• NO SOLUTION

• INFINITE SOLUTIONS

Multiple Choice

What is the first step to solve the problem?

$$2\left(3x+8\right)=2x+16+4x$$

• Distributive Property Multiply 2*3x and 2*8

• Combine like terms 2x+4x

• Subtract 16 from both sides

• Subtract 8 from both sides

Multiple Choice

What is the next part of step 1 to solve the problem?

$$2\left(3x+8\right)=2x+16+4x$$

we did the distributive property

$$6x+16=2x+16+4x$$

• Divide both sides by 6

• Add 16 to both sides

• Subtract 16 from both sides

• Subtract 6x from both sides

Multiple Choice

What is the second step to solve the problem?

$$2\left(3x+8\right)=2x+16+4x$$

we did the distributive property

$$6x+16=2x+16+4x$$

we combined like terms

$$6x+16=6x+16$$

• Divide both sides by 6

• Add 16 to both sides

• Subtract 16 from both sides

• Subtract 6x from both sides

Multiple Choice

How many solutions does the problem have?

$$2\left(3x+8\right)=2x+16+4x$$

we did the distributive property

$$6x+16=2x+16+4x$$

we combined like terms

$$6x+16=6x+16$$

We moved the variable to one side and they canceled out leaving us with

$$16=16$$

• One solution

• No Solution

• Infinitely Many Solutions

Open Ended

$$2\left(3x+8\right)=2x+16+4x$$

we did the distributive property

$$6x+16=2x+16+4x$$

we combined like terms

$$6x+16=6x+16$$

We moved the variable to one side and they canceled out leaving us with

$$16=16$$

How do we know it has infinitely many solutions?

Multiple Choice

How many solutions does this problem have?

$$4\left(9x+6\right)=36x-7$$

• No Solution

• One Solution

• Infinitely Many Solutions

Multiple Choice

How many solutions does this problem have?

$$48x+43=47x+43$$

• No Solution

• One Solution

• Infinitely Many Solutions

Poll

How are you feeling about solving equations to determine what kind of solutions they have?

• Great, I am rocking this skill 😎

• Pretty Good, I would say I understand most 👍

• So So, I understand about half 🤷‍♀️

• I understood very little need some help 👎🏻

• I am very lost. Please send help 🤯