 One Solution, No Solution, Infinite Solutions
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Practice 20 QuestionsShow answers
• Question 1
30 seconds
Q.

-4(3x + 2) = 3(-4x + 5)

No Solution

One Solution

Infinite Solution

• Question 2
30 seconds
Q.

-5(2x - 4) = 2(10 - 5x)

No Solution

One Solution

Infinite Solution

• Question 3
30 seconds
Q.

-3(x + 6) = -3(2x + 4)

No Solution

One Solution

Infinite Solution

• Question 4
30 seconds
Q.

5x + 4 = 3(2x - 5) - (x + 5)

No Solution

One Solution

Infinite Solution

• Question 5
30 seconds
Q.

6x - 18 = 4(2x - 3) - (2x + 6)

No Solution

One Solution

Infinite Solution

• Question 6
30 seconds
Q.

7x + 3 = 5(2x + 5) - (3x + 22)

No Solution

One Solution

Infinite Solution

• Question 7
30 seconds Q.

Identify the property used to simplify.

Multiplication Property of Equality

Distributive Property

Subtraction Property of Equality

Division Property of Equality

• Question 8
30 seconds Q.

Identify the property used to simplify.

Subtraction Property of Equality

Distributive Property

Multiplication Property of Equality

Division Property of Equality

• Question 9
30 seconds Q.

Identify the property used to simplify.

Subtraction Property of Equality

Distributive Property

Associative Property (Combining Like Terms)

Division Property of Equality

• Question 10
30 seconds Q.

Identify the property used to simplify.

Subtraction Property of Equality

Distributive Property

Multiplication Property of Equality

Division Property of Equality

• Question 11
30 seconds
Q.

3h + 5 = 2(h + 3) - (-h + 1)

No Solution

One Solution

Infinite Solution

• Question 12
30 seconds
Q.

-7w + 4 = -3(w + 3) - 2(w + 1)

No Solution

One Solution

Infinite Solution

• Question 13
30 seconds
Q.

5m - 9 = 8(m + 4) - 3(m + 10)

No Solution

One Solution

Infinite Solution

• Question 14
30 seconds
Q.

-2(3m + 6) = -3(4 +2m)

No Solution

One Solution

Infinite Solution

• Question 15
30 seconds
Q.

2 (15c + 8) = 9(2c + 4) - (3c + 2)

No Solution

One Solution

Infinite Solution

• Question 16
30 seconds
Q.

3(3e + 7) - 7(e + 3) = 5(e - 2) - 2(e + 1)

No Solution

One Solution

Infinite Solution

• Question 17
30 seconds
Q.

What is the definition of one solution?

The coefficient will always be different. There will only be ONE correct answer.

The coefficient (slope) and constant will always be the same.

The coefficient (slope) will be the same and the constant will be different.

• Question 18
30 seconds
Q.

What the is the definition of no solution?

The coefficient (slope) will always be different. There will only be ONE correct answer.

The coefficient (slope) will always be the same but the constants will be different.

The coefficient (slope) and constants will be the same.

• Question 19
30 seconds
Q.

What is the definition of infinite solution?

The coefficient (slope) will always be different. There will only be ONE correct answer.

The coefficient (slope) will be the same but the constants will be different.

The coefficient (slope) and constants will always be the same.

• Question 20
30 seconds Q.

What is the property being used to simplify this equation.