Linear Equations, Inequalities, & Applications Review

Solve for x.

• x = 3

• x = -3

• x = -10

• x = 10

Tags

CCSS.7.EE.B.4A

Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)

• 3
• -3
• -5
• 5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

 $\frac{3x-1}{2}-\frac{x-2}{3}=6$  

Tags

CCSS.8.EE.C.7B

What has to be done BEFORE you start solving a basic two-step equation?

• distributive property, combining like terms, and getting the variables all on one side

• distibutive property, move the variables to one side, cimbine like terms

• distributive property, cancel the constants, get variables to one side

• distributive property, combine like terms, eliminate the constant

Tags

CCSS.7.EE.B.4A

How do you know when it is "no solution"?

• The constants are different on either side of the equal sign.

• The constants are the same on either side of the equal sign.

• The variables all cancel out.

• Both sides are the same

Tags

CCSS.8.EE.C.7A

So how do you know when it is "infinitely many" solutions?

• The constants are the same on both sides of the equal sign.

• The constants are the different on both sides of the equal sign.

• The variables are the same w/ different constants.

• The variables are the same w/ same constants.

Tags

CCSS.8.EE.C.7A

Find the error in the problem below

19 - 2k = 3k - 1

+3k +3k

19 + 1k = -1

-19 -19

k = -20

• They should have divided by 1 for the last step

• They should add 19 instead of subtracting 19

• I can not find an error

• Instead of adding 3k they should subtract 3k

Tags

CCSS.HSA.REI.A.1

Solve for x:

• x = yb - v
• x = by - v
• x = by + v

Tags

CCSS.HSA.REI.B.3

Which equation has no solution?

• $9x\ +9\ =\ 11x-2x+9$

• $7x\ +30\ =\ x\ +\ 6\left(x+5\right)$

• $-5x+9\ =\ 2x\ +9\ -\ 7x$

• $7x\ -\ 6\ =\ x\ +6\left(x\ +5\right)$

Tags

CCSS.8.EE.C.7A

In the problem below, which line contains an error?

Line 1:  $6x\ -2\left(x-5\right)=\ 12$  

Line 2:  $6x-2x-10\ =\ 22$  
Line 3:  $4x\ -\ 10\ =\ 22$  
Line 4:  $4x=32$  
Line 5:  $x=8$  

• Line 2

• Line 3

• Line 4

• Line 5

Tags

CCSS.8.EE.C.7B