Q98 of 100 Page 312

Match Column I with Column II in the following:

Column I


1. The difference of 3 and a number squared


let n be the number


3-n2


2. 5 less than twice a number squared


let n be the number


2n2 - 5


3. Five minus twice the square of a number


let n be the number


5 – 2n2


4. Four minus a number multiplied by 2


let x be the number


4 – 2x


5. Seven times the sum of a number and 1


let n be the number


7(n+1)


6. A number squared plus 6


let n be the number


n2+6


7. 2 times the sum of a number and 6


2(n+6)


8. Three less than the square of a number


n2 – 3


More from this chapter

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96

Challenge Write an expression for the sum of 1 and twice a number n. If you let n be any odd number, will the result always be an odd number?

 97

Critical Thinking Will the value of 11x for x = –5 be greater than 11 or less than 11? Explain.

 99

At age of 2 years, a cat or a dog is considered 24 “human” years old. Each year, after age 2 is equivalent to 4 “human” years. Fill in the expression [24 + 4(a – 2)] so that it represents the age of a cat or dog in human years. Also, you need to determine for what ‘a’ stands for. Copy the chart and use your expression to complete it.

 100

Express the following properties with variables x, y and z.

(i) Commutative property of addition


(ii) Commutative property of multiplication


(iii) Associative property of addition


(iv) Associative property of multiplication


(v) Distributive property of multiplication over addition