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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
1.14 Basic Operations With Variables - II

Algebraic Notation:
Verbal phrases may be translated into algebraic expressions.

Examples:
  • The product of a and b = a . b = ab = a x b
  • The sum of a and 4 = a + 4
  • x decreased by 9 = x - 9
  • y divided by 3 = y/3
  • A number increased by 6 = n + 6
  • Two times a number and that product decreased by 5 = 2x - 5
  • A number divided by 3 and that quotient increased by 2 = n/3 + 2
  • Twice the sum of x and 4 = 2(x + 4)

Example: Write an algebraic expression for "a number times itself plus another number added to itself."
Solution:
Let the number be 'x'.
The number times itself is x2.
Let another number be 'y'.
The second number added to itself is 2y.
Therefore, a number times itself plus another number added to itself is x2+2y.

Example: Write an algebraic expression for "quotient of a number times ten and the same number increased by 4." Solution:
Let the number be 'x'. Then number times ten is 10x.
The same number increased by 4 is x + 4.
Therefore, quotient of a number times ten and the same number increased by 4 is =
10x / (x+4)


Directions: If x is a non-zero number, express the following in terms of x. Also write at least 10 examples of your own.
Q 1: 5 more than twice x.
(5+2)x
2+5X
5+x2
2x+5

Q 2: The product of a number and 8.
nxn+8
8a
a/8
a + 8

Q 3: 4 less than half of x.
4-2/x
x/2-4
4-X/2
4/2-x

Q 4: 6 more than a number.
x/6
6x
x + 6
x - 6

Q 5: Sum of squares of x and 4.
x+4
x2+16
2x+2*4

Q 6: Three consecutive integers beginning with x and greater than x.
x, x-1 and x-2
1, 2, and 3
x, 2x, 3x
x, x+1 and x+2

Q 7: Of the four consecutive integers x is the largest. Write the other three.
x-3, x-2, x-1
x+1, x+2, x+3
x-2, x-1, x
x-4, x-3, x-2

Q 8: Three consecutive integers beginning with x and less than x ?
x, x+1 and x+2
3x, 2x, 1x
x, x-1 and x-2
3, 2, 1

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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