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

Use the greater-than-or-equal-to symbol.

      23 . You subtract the 8 from the 9, and you add the 2x and 7x to get 9x. (It’s like adding 2 apples to 7 apples!)

      24 . Both 14y and are divisible by 14. So you write the 14 outside the parentheses and put the division results inside the parentheses.

      25 . The only number you can add to 8 to get a result of 10 is 2.

      26 Yes, they are both solutions. and

      If you’re ready to test your skills a bit more, take the following chapter quiz that incorporates all the chapter topics.

Whaddya Know? Chapter 1 Quiz

      Complete each problem. You can find the solutions and explanations in the next section.

      1 Which of the following numbers can be termed rational?

      2 Which of the following is a solution of the equation ?

      A) 5 B) C) 14 D) 15 E) 16

      3 How many terms are there in ?

      4 What is the exponent in ?

      5 Which of the following is: “the product of four times the difference between x and eight divided by the sum of nine and ”?

      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: .

Answers to Chapter 1 Quiz

      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 2x 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