Algebra Quiz

What is the result of 5x + 4x?

• 20x

• 9x

• 10x

• 2x

Answer explanation

The result of 5x + 4x is 9x. This is because when you add like terms, you add the coefficients and keep the variable the same. In this case, 5x + 4x equals 9x.

What is the sum of 3x and 5x?

• 15x

• 8x

• 2x

• 12x

What is the result of 3 radical 2 + 8 radical 2?

• 11 radical 2

• 24 radical 2

• 15 radical 2

• 5 radical 2

Answer explanation

To add radicals, we combine the coefficients. The coefficients of both radicals are 3 and 8, so the sum is 11. The radical remains the same, which is 2. Therefore, the result is 11 radical 2. This matches the correct answer choice.

What is the sum of 4x squared and 9x squared?

• 13x squared

• 5x squared

• 17x squared

• 12x squared

Answer explanation

The sum of 4x squared and 9x squared is 13x squared. This is the correct choice.

What is the result of 2x minus 4 multiplied by 3x plus 7?

• 6x squared + 13x + 28

• 6x squared + 13x - 28

• 6x squared - 13x - 28

• 6x squared - 13x + 28

Answer explanation

The correct choice is 6x squared + 13x - 28 because it correctly applies the distributive property and combines like terms.

What is the result of 5x squared times 3x to the fourth power?

• 15x squared + 8x to the fifth power

• 15x to the sixth power

• 15x to the sixth power + 8x to the fifth power

• 15x to the sixth power + 8x squared

Answer explanation

The result of multiplying 5x squared by 3x to the fourth power is 15x to the sixth power. This is the correct choice because when multiplying variables with exponents, you add the exponents.

What is the result of 8x cubed multiplied by 7x to the sixth power?

• 56x to the sixth power

• 56x to the fifth power

• 56x to the thirteenth power

• 56x to the seventh power

Answer explanation

To multiply two terms with the same base, add their exponents. Here, 8x^3 * 7x^6 = 56x^(3+6) = 56x^9. Therefore, the correct answer is 56x to the ninth power.

What is the result of 24x to the fifth power y to the negative three multiplied by 5x to the sixth power y to the seventh?

• 4x to the fifth power y to the seventh power

• 4x to the thirteenth power y to the fourth power

• 4x to the thirteenth power y to the seventh power

• 4x to the fifth power y to the fourth power

Answer explanation

The correct choice is 4x to the thirteenth power y to the fourth power because when multiplying exponents with the same base, you add the exponents.

What is the result of 32x to the fifth power y to the negative three z to the fourth divided by 40x to the negative 8 y to the negative 7 z to the negative 8?

• 4x to the thirteenth power y to the seventh power z to the fourth power

• 4x to the thirteenth power y to the fourth power z to the fourth power

• 4x to the thirteenth power y to the seventh power z to the twelfth power

• 4x to the thirteenth power y to the fourth power z to the twelfth power

Answer explanation

To divide powers with the same base, subtract the exponents. Therefore, the result is 4x^13 * y^4 * z^12.

What is the result of 3x cubed raised to the second power?

• 3x to the third power

• 9x to the third power

• 9x to the sixth power

• 3x to the sixth power

Answer explanation

The result of raising 3x cubed to the second power is 9x to the sixth power. This is because when you raise a power to another power, you multiply the exponents.