Multi-Step Equations

Last updated almost 4 years ago

10 questions

5

0

Last updated almost 4 years ago

10 questions

5

5

Makayla is getting a new phone plan. Plan A will charge her $10 per month plus $0.10 per text message. Plan B will charge $35 per month plus $0.05 per text message. How many text messages will make the two plans cost the same for one month?

5

0

Draggable item		Corresponding Item
5x = 4 + 2x 3x = 24		Not Equal
-3(2x + 9) = 12 2x + 9 = -4		Commutative Property
5x = 20 4 - 5x = 24		Division Property of Equality
18 = 3x - 6 + x 18 = 4x - 6		Subtraction Property of Equality
5x = 3 - x 5x = -x + 3		Distributive Property
16 = 4(9 - x) 16 = 36 - 4x		Combine Like Terms

The student should have subtracted 5x.

The student should have multiplied the 5x by the 9x.

The student is incorrect.

The student is correct.

The student should have added 4 and 9.

The student should have subtracted 9 from 4.

The student is incorrect.

The student should have subtracted the 11.

The student should have divided by -11.

The student is correct.

The student should have subtracted the 8.

The student should have divided by 8.

The student should have added the two.

All Real Numbers (Infinite Solutions)

No Solution

One Solution

All Real Numbers (Infinite Solutions)

No Solution 

One Solution

All Real Numbers (Infinite Solutions)

No Solution

One Solution

Check all the expressions that are equivalent to 

Match each set of steps with the property that explains why the two equations are equivalent.

5x = 4 + 2x 
3x = 24

Not Equal

-3(2x + 9) = 12 
2x + 9 = -4

Commutative Property

5x = 20
4 - 5x = 24

Division Property of Equality

18 = 3x - 6 + x 
18 = 4x - 6

Subtraction Property of Equality

5x = 3 - x 
5x = -x + 3

Distributive Property

16 = 4(9 - x) 
16 = 36 - 4x

Combine Like Terms

Did this student go from the first step to the second step correctly? Select all that are true.

9x = 5x + 4
14x = 4

The student should have subtracted 5x.

The student should have multiplied the 5x by the 9x.

The student is incorrect.

The student is correct.

The student should have added 4 and 9.

The student should have subtracted 9 from 4.

Did this student go from the first step to the second step correctly? Select all that are true.

-11(x - 2) = 8
x - 2 = 8 + 11

The student is incorrect.

The student should have subtracted the 11.

The student should have divided by -11.

The student is correct.

The student should have subtracted the 8.

The student should have divided by 8.

The student should have added the two.

Does this equation have one solution, no solution, or infinitely many solutions?

All Real Numbers (Infinite Solutions)

No Solution

One Solution

All Real Numbers (Infinite Solutions)

No Solution 

One Solution

All Real Numbers (Infinite Solutions)

No Solution

One Solution