Solving Equations and Inequalities Review

What is the first step in solving the following problem?

 $2x+10=22$  

• Add 10 to each side

• Divide by 2

• Subtract 10 from each side

• Multiply by 10

Solve for z

 $6z+3-4z=9$  

• 3

• 60

• 30

• 1

Solve for x:

 $4=2\left(x+3\right)$  

•  $\frac{1}{2}$  

•  $\frac{7}{2}$  

• -1

• 5

Solve for x:
 $2\left(2x+3\right)=-6\left(x+9\right)$  

• 1.2

• 6

• 7.5

• -6

 $\frac{x+2}{8}=\frac{3}{4}$  

Solve for x:

• 2

• 4

• 6

• 8

 $16=\frac{k}{11}$  

The variable, k, is being divided by 11. How should you isolate the variable?

• Divide both sides by 11

• Multiply both sides by 11

• Add 11 to both sides

• Subtract 11 from both sides

Tags

CCSS.HSA.CED.A.4

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

The objective when solving an equation is to...

• isolate the variable

• check the solution

• guess and check

• combine like terms

Tags

CCSS.HSA.CED.A.4

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Which equation has the solution x=9

• $4+x=12$

• $5x=45$

• $2x=20$

• $x+7=26$

 $pV=nRT$  

Solve for R:

•  $R=\frac{pV}{nT}$  

•  $R=\frac{p}{n}+\frac{V}{T}$  

•  $R=pV-nT$  

•  $R=\frac{pV-n}{T}$  

Tags

CCSS.HSA.CED.A.4

CCSS.HSA.REI.B.3

 $3x-7=3\left(x-3\right)+2$  

Simplify the equation. How many solutions are there?

• No solutions

• One solution

• Infinitely many solutions