Quiz

Algebra

Algebraic Expressions

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Quiz

Algebraic Expressions Score: 0/10

1. How many terms does the following expression have :

$\sqrt[]{2x - 3}$

A.1

B.2

C.3

D. None of the above

2. Simplify the following expression :

5x + 3y - 3x - 5y

A.0

B.2x + 2y

C.2x - 2y

D. None of the above

3. Simplify the following expression :

2x²y - 2xy² - x²y + 3xy²

A.0

B.2x²y

C.x²y + xy²

D. None of the above

4. Simplify the following expression :

$\frac{x}{y}$ + 1

\frac{x + y}{y}

\frac{x + y}{x}

C.2

D. None of the above

5. Simplify the following expression :

$\frac{y}{z}$ x $\frac{z}{y}$

\frac{2y + 2z}{zy}

\frac{2y + 2z}{2yz}

C.1

D. None of the above

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Quiz Results

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Solutions

Algebraic Expressions Question 1 of 5

1. How many terms does the following expression have :

$\sqrt[]{2x - 3}$

A.1

B.2

C.3

D. None of the above

Correct Answer
Option A

Detailed Solution

Solution Details

Given $\sqrt[]{2x - 3}$

• $\sqrt[]{2x - 3}$ = ( 2x - 3 )^1/2

∴ The expression has 1 term

For more info please see

Algebraic Expressions

Algebraic Expressions Question 2 of 5

2. Simplify the following expression :

5x + 3y - 3x - 5y

A.0

B.2x + 2y

C.2x - 2y

D. None of the above

Correct Answer
Option C

Detailed Solution

Solution Details

Given 5x + 3y - 3x - 5y

• 5x + 3y - 3x - 5y = 2x - 2y

For more info please see

Algebraic Expressions

Algebraic Expressions Question 3 of 5

3. Simplify the following expression :

2x²y - 2xy² - x²y + 3xy²

A.0

B.2x²y

C.x²y + xy²

D. None of the above

Correct Answer
Option C

Detailed Solution

Solution Details

Given 2x²y - 2xy² - x²y + 3xy²

• 2x²y - 2xy² - x²y + 3xy²

= x²y + xy²

For more info please see

Algebraic Expressions

Algebraic Expressions Question 4 of 5

4. Simplify the following expression :

$\frac{x}{y}$ + 1

\frac{x + y}{y}

\frac{x + y}{x}

C.2

D. None of the above

Correct Answer
Option A

Detailed Solution

Solution Details

Given $\frac{x}{y}$ + 1

• $\frac{x}{y}$ + 1 = $\frac{x}{y}$ + $\frac{y}{y}$ = $\frac{x + y}{y}$

For more info please see

Algebraic Expressions

Algebraic Expressions Question 5 of 5

5. Simplify the following expression :

$\frac{y}{z}$ x $\frac{z}{y}$

\frac{2y + 2z}{zy}

\frac{2y + 2z}{2yz}

C.1

D. None of the above

Correct Answer
Option C

Detailed Solution

Solution Details

Given $\frac{y}{z}$ x $\frac{z}{y}$

• $\frac{y}{z}$ x $\frac{z}{y}$ = 1

For more info please see

Algebraic Expressions

Quiz

Algebra

Algebraic Expressions

Quiz Quidelines

Quiz

1. How many terms does the following expression have :

2x - 3

2. Simplify the following expression : 5x + 3y - 3x - 5y

3. Simplify the following expression : 2x 2 y - 2xy 2 - x 2 y + 3xy 2

4. Simplify the following expression : x y + 1

5. Simplify the following expression : y z x z y

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Quiz Results

Solutions

1. How many terms does the following expression have :

2x - 3

Correct Answer Option A

Detailed Solution

Solution Details

Given 2x - 3

• 2x - 3 = ( 2x - 3 ) 1/2

∴ The expression has 1 term

2. Simplify the following expression : 5x + 3y - 3x - 5y

Correct Answer Option C

Detailed Solution

Solution Details

Given 5x + 3y - 3x - 5y

• 5x + 3y - 3x - 5y = 2x - 2y

3. Simplify the following expression : 2x 2 y - 2xy 2 - x 2 y + 3xy 2

Correct Answer Option C

Detailed Solution

Solution Details

Given 2x 2 y - 2xy 2 - x 2 y + 3xy 2

• 2x 2 y - 2xy 2 - x 2 y + 3xy 2 = x 2 y + xy 2

4. Simplify the following expression : x y + 1

Correct Answer Option A

Detailed Solution

Solution Details

Given x y + 1

• x y + 1 = x y + y y = x + y y

5. Simplify the following expression : y z x z y

Correct Answer Option C

Detailed Solution

Solution Details

Given y z x z y

• y z x z y = 1

$\sqrt[]{2x - 3}$

2. Simplify the following expression :

5x + 3y - 3x - 5y

3. Simplify the following expression :

2x²y - 2xy² - x²y + 3xy²

4. Simplify the following expression :

$\frac{x}{y}$ + 1

5. Simplify the following expression :

$\frac{y}{z}$ x $\frac{z}{y}$

$\sqrt[]{2x - 3}$

Correct Answer
Option A

Given $\sqrt[]{2x - 3}$

• $\sqrt[]{2x - 3}$ = ( 2x - 3 )^1/2

2. Simplify the following expression :

5x + 3y - 3x - 5y

Correct Answer
Option C

3. Simplify the following expression :

2x²y - 2xy² - x²y + 3xy²

Correct Answer
Option C

Given 2x²y - 2xy² - x²y + 3xy²

• 2x²y - 2xy² - x²y + 3xy²

= x²y + xy²

4. Simplify the following expression :

$\frac{x}{y}$ + 1

Correct Answer
Option A

Given $\frac{x}{y}$ + 1

• $\frac{x}{y}$ + 1 = $\frac{x}{y}$ + $\frac{y}{y}$ = $\frac{x + y}{y}$

5. Simplify the following expression :

$\frac{y}{z}$ x $\frac{z}{y}$

Correct Answer
Option C

Given $\frac{y}{z}$ x $\frac{z}{y}$

• $\frac{y}{z}$ x $\frac{z}{y}$ = 1