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Algebraic Proofs Practice

Authored by Lisa Moltz

Mathematics

10th Grade

CCSS covered

Used 12+ times

Algebraic Proofs Practice
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13 questions

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1.

LABELLING QUESTION

5 mins • 1 pt

Fill in the missing steps

h
g
f
e

Division Prop

Addition Prop

Simplify

4x + 8 - 8 = 36 - 8

x = 7

Prove

4x = 28

Distributive Prop

Tags

CCSS.HSA.REI.A.1

2.

LABELLING QUESTION

1 min • 1 pt

Given: 5(x+2) = -3x-6

Prove: x = -2

a
b
c
d
e
f
g
h
i
j
x = -2
Addition Property
Distributive Property
5x+10 = -3x-6
Given
8x+10 = -6
Subtraction Property
8x = -16
5(x+2) = -3x-6
Division Property

Tags

CCSS.8.EE.C.7B

3.

LABELLING QUESTION

1 min • 1 pt

Given: 4x+9 = 16-3x

Prove: x = 1

a
b
c
d
e
f
g
h
Division Property
Subtraction Property
Addition Property
7x+9 = 16
Distributive Property
x = 1
7x = 7
Multiplication Property
4x+9 = 16-3x
Given

Tags

CCSS.HSA.REI.A.1

4.

LABELLING QUESTION

15 mins • 1 pt

a
b
c
d
e
f
g
h
i
j
6x+14 = 11-x
Division Property
7x+14 = 11
4+6x+10 = 11-x
7x = -3
Simplify
Subtraction Property
x = -3/7
Addition Property
Distributive Property

Tags

CCSS.HSA.REI.A.1

5.

LABELLING QUESTION

15 mins • 1 pt

a
b
c
d
e
f
g
h
Simplify
Division Property
Given
Multiplication Property
-5x = -30
x = 6
Addition Property
Subtraction Property
-5x+2 = -28

Tags

G.CO.C

6.

LABELLING QUESTION

10 mins • 1 pt

Given: 17-3(w+5) = 6(w+5)-2w

Prove: w = -4

a
b
c
d
e
f
g
h
i
j
-7w = 28
-7w+2 = 30
Simplify
Division Property
Distributive Property
Subtraction Property #2
w = -4
17-3w-15 = 6w+30-2w
Subtraction Property
-3x+2 = 4w+30

Tags

G.CO.C

7.

LABELLING QUESTION

1 min • 1 pt

Fill in the proof.

Given: 3(2x - 6) = x + 7

Prove: x = 5

j
i
g
h
f
e
d
c
b
a

5x - 18 = 7

Distributive

6x - 18 = x + 7

Addition

5x = 25

Subtraction

x = 5

Division

3(2x - 6) = x + 7

Given

Tags

CCSS.HSA.REI.A.1

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