Solving Equations and Systems Review

Solve algebraically: (choose all possible solutions) 
 $\frac{\left|-1+x\right|}{5}=1$  

•  $-4$  

•  $7$  

•  $-5$  

•  $6$  

Solve algebraically:

 $9^{8-x}=27^{x-3}$  

• x = 5

• x = -5

• x = 1/5

• x = -1/5

Solve algebraically:

 $\frac{7x-49}{x^2+8x+12}=\frac{3}{x+6}+\frac{1}{x+2}$  

•  $-2$  

•  $5$  

•  $6$  

•  $\frac{61}{3}$  

Tags

CCSS.HSA.REI.A.2

Solve and check your solution(s).

• x = 1
• x = 9
• x = all real solutions
• x = 9, 1

Tags

CCSS.HSA.REI.A.2

Solve and check for extraneous solutions

• x=5

• x= -5

• No Solution

• x=0

Tags

CCSS.HSA.REI.A.2

What is the solution of this system?

• (0,0)

• (2,4)

• same line; infinite solutions

• parallel lines; no solution

Tags

CCSS.8.EE.C.8B

This system has _____ solution(s)

• no

• 1

• 2

• Infinitely many

Tags

CCSS.8.EE.C.8B

Solve the system algebraically:
 $y=4x+5$  
 $2x+3y=43$  

• (3,17)

• no solution

• (2,8)

• (2,13)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system algebraically:

 $8x+4y=12$  
 $y=-2x+3$  

• (0,3)

• (3,0)

• No solution

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Solve the system of equations algebraically.
 $x+2y=-3$   
 $x-y=-12$  

• (-9, 3)

• (-7 ,5)

• (3, 15)

• (9, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6