Mary Jane Sterling - Algebra I All-in-One For Dummies

A) B) C) D) E)

6 Write the following using the corresponding mathematical symbols: “The quotient of x and 11 is greater than or equal to the sum of 9 and y .”

7 Write the following using the corresponding mathematical symbols: “The difference between 9 and z is less than the product of 9 and z .”

8 How many terms are there in ?

9 What is a common factor of the terms ?

10 Which of the following numbers can be termed real?

11 What is the constant term in ?

12 What is the coefficient in ?

13 Place the following numbers on the number line:

14 Write the following using the corresponding mathematical symbols: “The square root of 20 is about 4.5.”

15 Simplify: .

1 . All of the terms are rational except for . The number is an integer and is rational, because it can be written as a fraction such as . The number is already written as a fraction and is rational. The number is a terminating decimal and can be written as or . The number 102 is a whole number and can be written as a fraction over 1. The number is imaginary, so it can’t be a rational number.

2 C. 14.Replacing the x with 5, you get , which is not equal to 3. Replacing the x with , you get , which is not equal to 3. Replacing the x with 15, you get , which is not equal to 3. Replacing the x with 16, you get , which is not equal to 3. Replacing the x with 14, you get , which IS equal to 3.

3 1. The 2 x multiplies a binomial, making the expression all one term. There are two terms in the parentheses, but the expression is still just one term.

4 2. There are two exponents, each on the terms in the parentheses. They are both 2.

5 B.The answer only multiplies the x and not the 8. The answer finds the sum of x and 8, not the difference. The answer has the 4 multiplier in the denominator instead of the numerator. And the answer has reversed the numerator and denominator.

6 . The quotient refers to division, and the sum refers to addition. The point of the symbol faces the smaller side.

7 . The difference refers to subtraction, and the product refers to multiplication. The point of the symbol faces the smaller result.

8 3. The three terms are separated by the two subtraction symbols.

9 3. The number 3 divides each of the terms evenly (leaving no remainder).

10 All of the terms are real except for . The number is a repeating decimal and is a rational number; it can be written as or . See Chapter 4for more on repeating decimals. The number is a rational number and so is real. The number is equal to 2,809 and is a whole number. And is a rational number, already written as a fraction. The number has the imaginary factor of i , so it is imaginary and not real.