Algebra Basics Quiz

What is a variable in algebra?

• A letter representing a number

• A combination of numbers and letters

• A fixed numerical value

• An arithmetic operator

How do you represent the total cost of three chocolates and ten pens if the cost of one chocolate is 'y' and one pen is 'x'?

• 3x + 10y

• 3y + 10x

• 10x + 3

• 10y + 3x

What is the degree of a polynomial?

• The number of terms in the polynomial

• The highest power of any term in the polynomial

• The sum of coefficients in the polynomial

• The number of variables in the polynomial

Which of the following is a quadratic polynomial?

• 2 - 5x + x^2 - 8x^4

• 3 + 7.5x

• x^2 - 4x + 4

• x^3 - 3x^2 + 5x + 1

What is a monomial?

• A polynomial with one term

• A polynomial with four terms

• A polynomial with two terms

• A polynomial with three terms

How many terms does a trinomial have?

• Four

• Three

• Two

• One

What is an identity in algebra?

• A polynomial with a degree of zero

• A combination of constants and variables

• An equation true for all values of the variable

• An equation true for only certain values

Which of the following is an example of an identity?

• a + 5 = 10

• a + 5(a + 3) = a^2 + 8a + 15

• a^2 + 8a + 15 = 195

• a^3 - 3a^2 + 5a + 1 = 0

What is the result of multiplying a binomial by a trinomial?

• A monomial

• A binomial

• A trinomial

• A polynomial

Which of the following is true for an equation?

• It is a polynomial with a degree of zero

• It is a combination of constants and variables

• It is true for only certain values of the variable

• It is true for all values of the variable