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

5 The numbers 11 and 3 are prime.Yes, appears again!

6 The only imaginary number is or .

7

The points 0.5 and 3.2 are approximated, because the tick marks aren’t on the number line.

8

9 3.There are three terms. The term 4 x is separated from 3 x 3by subtraction and from 11 by addition.

10 5.There are two terms, and each has a different number of factors. The first term, 3 xy , has three factors: the 3 and the x and the y are multiplied together. The second term, 2 z , has two factors, the 2 and the z . So there are a total of five factors.

11 x and y; h, k, a, b, 1.The two variables are x and y . The constants are h , k , a , b , and 1.

12 2, , and 1.The exponent in the term z 2is the 2; the z is the base. The exponent in z 1/2is . And, even though it isn’t showing, there’s an implied exponent in the term z ; it’s assumed to be a 1, and the term can be written as z 1.

13 .You could put the dot between the 4 and the z to indicate multiplication, but writing them together assumes they’re being multiplied.

14 .Use a fraction to indicate multiplication, rather than the slash.

15 .Writing the 6 next to the absolute value indicates multiplication. The subtraction is written completely under the radical.

16 .

17 or .

18 The braces contain two terms: the 16 and the fraction. The 5 in front of the braces indicates that multiplication will be performed. The fraction line has the term in the numerator and the number 12 in the denominator. And the parentheses have a multiplier of 4 in front and the two terms 11 and z inside, which need to be subtracted.

19 .The 9 can be written behind or in front of the parentheses.

20 . The x goes in the denominator.

21 . Use parentheses if the –2 follows the x .

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

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

24 . Both 14 y 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.

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 ”?