Assessment 2 Review

Assessment 2 Review

Questions will include topics from expressions and operations unit 1 Assessment.

Multiple Select

Check all the like terms of

 $6x^2$  

•  $2x^6$  

•  $\frac{2}{3}x^2$ 

•  $2x$  

•  $-6x^2$  

•  $yx^2$  

Multiple Choice

 $SIMPLIFY:\ \ -2x^3+6x^2-5x+4x^2+10-x$  

•  $12x^5$  

•  $-2x^3+10x^2+5$  

•  $-2x^3+10x^2-6x+10$  

•  $-2x^3+10x^2-4x+10$  

THE INVISIBLE ONE:

Distribute numbers outside the ( )'s. When there is ONLY a negative, you distribute a -1.

ALWAYS combine like terms.

Open Ended

SIMPLIFY the following expression:

 $8-\left(4x-5\right)+3\left(2x+7\right)$  

You can ONLY combine like terms!

 $8-\left(4x-5\right)+3\left(2x+7\right)$ 
 $8-4x+5+6x+21$  
Answer:  $2x+34$  

Like Terms must have the same variable/exponent

Multiple Choice

Using the following expression, identify the matching vocab term.

-h + 2

The variable is...

• -h

• h

• 2

• -2

• -2h

Multiple Choice

Using the following expression, identify the matching vocab term.

-h + 2

The coefficient is...

• -h

• h

• 2

• -1

• 1

Multiple Choice

 $The\ first\ step\ in\ this\ equation\ is\ to\ do\ what?\ \ 3-5\left(x+2\right)=23$  

• +5 to both sides

• -5 to both sides

• divide by -5 on both sides

• Distribute the -5

• subtract 3-5

Multiple Choice

 $The\ first\ step\ in\ the\ equation\ is:\ \frac{5x}{6}-5=25$  

• +5 on both sides

• -5 on both sides

• Divide by 5 on both sides

• Multiply by 5 on both sides

• Divide the 5 and 6

Get variables on one side and constants on the other.

+ of - when moving terms to opposite sides of the equal sign.

Open Ended

Solve:

 $6x-3=4x+9$  

Answer to 6x - 3 = 4x + 9

6x - 4x = 9 + 3 (collect like terms on the same side)

2x = 12 (combine like terms)

x = 6 (divide both sides by 2)

x = 6 is the solution!

Open Ended

evaluate the following expression when x = -6

 $5\left|-4x^2-2x\right|$  


Use GEMDAS to simplify and Desmos to verify.

Substitute and Simplify

use ( )'s when substituting.

 $5\left|-4\left(-6\right)^2-2\left(-6\right)\right|$  
 $5\left|-4\left(36\right)+12\right|$  
 $5\left|-144+12\right|$  
 $5\left|-132\right|$  
 $5\left(132\right)$  
 $660$  

Open Ended

Solve:

 $4\left(2x-3\right)+7x=33$  

Solution of 4(2x-3)+7x=33

8x - 12 + 7x = 33 (distribute the 4)

15x - 12 = 33 (combine like terms)

15x = 33 + 12 (collect like terms on opposite sides of equal sign)

15x = 45 (combine like terms)

x = 3 (divide both sides by 15)

x = 3 is the solution!

Open Ended

Find the solution:

 $\frac{x}{6}-3=2$  

The solution of

 $\frac{x}{6}-3=2$  

 $\frac{x}{6}=2+3$  (Collect constants on the right)
 $\frac{x}{6}=5$  (combine like terms)
x = 30 (multiply both sides by 6)
30 is the solution!!

Multiple Select

Check all the equations with NO SOLUTION

• $7=7$

• $3=-3$
  

• $2x-1=2x$

• $3x=3x$

• $7x=0$

Multiple Select

Check all the boxes that have INFINITELY MANY SOLUTIONS

• $7=7$

• $5x=x+5$

• $4x+2=4x+2$

• $0=0$

• $6x=0$