MP1 Week 3 Math 8 Quiz

Translate this into algebraic language and let x = a number.

"twice a number more than five"

• $x^2+5$

• $2x+5$

• $x^2-5$

• $2x-5$

Translate this into algebraic language and let x = a number.

"three less than a number squared"

•  $x^2-3$ 

•  $2x-3$ 

•  $3-x^2$ 

•  $3-2x$ 

Destiny was asked to check if  $x=2$  was a solution to the equation  $3x-1=7$  and showed this work:

 $3x-1=7$  
 $3\left(2\right)-1\ =7$  
 $6-1=7$  
 $5\ne7$  

What does this mean?

•  $x=2$  is a solution because the left and right side are the same value

•   $x=2$  is not a solution because the left and right side are different values

What is the inverse operation of addition?

• Addition

• Subtraction

• Multiplication

• Division

What is the inverse operation of division?

• Addition

• Subtraction

• Multiplication

• Division

The goal of solving an equation is to ____________ the variable.

• interrogate

• investigate

• incriminate

• isolate

What step is required to isolate the variable?

In other words, what step is needed to solve this one-step equation?

 $x-4=10$  

• Add 4 to both sides of the equal sign

• Subtract 4 from both sides of the equal sign

• Multiply by 4 on both sides of the equal sign

• Divide by 4 on both sides of the equal sign

What step is required to isolate the variable?

In other words, what step is needed to solve this one-step equation?

 $-8\ =\frac{x}{5}$  

• Add 5 to both sides of the equal sign

• Subtract 5 from both sides of the equal sign

• Multiply by 5 on both sides of the equal sign

• Divide by 5 on both sides of the equal sign

What step is required to isolate the variable?

In other words, what step is needed to solve this one-step equation?

 $-3x=7$  

• Add $-3$ to both sides of the equal sign

• Subtract $-3$ from both sides of the equal sign

• Multiply by $-3$ on both sides of the equal sign

• Divide by $-3$ on both sides of the equal sign

What step is required to isolate the variable?

In other words, what step is needed to solve this one-step equation?

 $12=x+2$  

• Add 2 to both sides of the equal sign

• Subtract 2 from both sides of the equal sign

• Multiply by 2 on both sides of the equal sign

• Divide by 2 on both sides of the equal sign