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9/23 algebraic proofs

Last updated almost 2 years ago

8 questions

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Question 1

1.

match the proof reason to the correct step.

Draggable item		Corresponding Item
x = 4		given
3x + 4 = 16		subtraction
3x = 12		division

Question 2

2.

Match the proof reason to the correct step.

Draggable item		Corresponding Item
-3=3x-24		given

Question 3

3.

match the proof reasons to the correct step.

Draggable item		Corresponding Item
+4(2x+1) = 28		given
x = 3		distributive

Question 4

4.

match the proof reason to the correct step.

Draggable item		Corresponding Item
3x-2=28		given
3x = 30		addition
x = 10		division

Question 5

5.

match the proof reason to the correct step.

Draggable item		Corresponding Item
-3x = -15		given
2x+3=5x-12		subtraction

Question 6

6.

match the proof reason to the correct step.

Draggable item		Corresponding Item
x=8		given

Question 7

7.

Match the proof reason to the correct step.

Draggable item		Corresponding Item
8=2y		given

Question 8

8.

match the proof reason to the correct step.

Draggable item		Corresponding Item
x=7		given

x=7

subtraction

7=x

addition

4x-3=7x-24

division

21=3x

symmetric

8x + 4 = 28

subtraction

8x = 24

division

2x=5x-15

subtraction

x = 5

division

20x+8=15x+48

distributive

4(5x+2)=15x+48

subtraction

5x=40

subtraction

20x=15x40

division

10y+5=12y-3

subtraction

y=4

addition

5=2y-3

division

4=y

symmetric

6x+10=4(3x-8)

distribution

-6x+10=-32

subtraction

-6x=-42

subtraction

6x+10=12x-32

division