QUIZ 2

1. Which branch of mathematics deals with the study of symbols, the rules in manipulating these symbols, and modeling of real-life situations using symbols?

• Algebra

• Geometry

• Probability

• Statistics

A constant is a real number. It can be an integer, a fraction or an irrational number. It is constant because of its fixed value.
In the expression 2x + 4y - 9, the constant is 9.

2. What is the constant in the expression 2x + 3y + 21?

• 2

• 3

• 21

• 2x + 3y

A variable is a placeholder that can be replaced by an unknown value. letters from the English and Greek alphabets are symbols commonly used as variables. In the expression 2x + 4y - 9, the variables are x and y.

3. Which of the following is a variable?

• π

• 0.2

• √3

• a

Coefficient is another word for factor; it is an expression multiplied to another expression. There are two types of coefficient: the numerical and the literal.
In the expression 3xy² + 5z, the numerical coefficient is 3 and the literal coefficient is xy².

4. What is the numerical coefficient of -2x?

• -2

• -x

• x

• -2x

The exponent is the number of times the base multiplied to itself.
For example evaluating 4³ is the same with 4 x 4 x 4, Therefore 4³ = 64.

5. Evaluate 3⁴

• 9

• 27

• 81

• 243

You must know how to translate symbols to words and vice versa. One way to do this is to use a guide to know what words translate to the basic operations. For addition, some of the words used are "more than", "increased by", "the sum of", "put together", "the total" and "in all".

For example, translate "3 more than a number" into symbols.
Answer: y + 3

6. What is the translation of (x + y)²?

• two numbers squared

• the square of the sum of two numbers

• the sum of the squares of two numbers

• a number added to the square of a number

In subtraction, commonly used phrases are "less than", "decreased by", "diminished by", "subtracted from", "amount left."

For example, 3 less than a number is y -3.

7. Which expression is translated as "a number diminished by 6"?

• 6 - n

• n - 6

• n/6

• 6/n

8. What is the translation of "twice a number, decreased by 4"?

• x - 8

• 2(x - 4)

• 2x - 4

• 2 + x - 4

9. What is the translation of "8 times a number yields 48"?

• 8 + x = 48

• 8 - x = 48

• 8x = 48

• 8 - 48x

10. Which of the following expressions is a translation of the "ratio of a number and 24"?

• n / 24

• 24n

• 24 - n

• 24 + n