Word phase of algebra expression
2 answers:
In order to write algebraic expressions<span> and equations, assign a variable to represent the unknown number. In the table below, the letter “x” is used to represent the unknown.
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Operation: Addition ( + )
Key word/phrase: plus, more than, the sum of, the total of, increased by, and added to.
Example: A number plus three, Ten more than a number, The sum of a number and five, The total of six and some number, A number increased by two, Eleven added to a number.
Translation: x + 3, x + 4, x + 10, x + 5, x + 2, 6 + x, x + 11 and so on.
Subtraction ( − ) minus A number minus seven X – 7 less than Four less than a number X – 4 the difference of The difference of a number and three X – 3 less Nine less a number 9 – X decreased by A number decreased by twelve X – 12 subtracted from Six subtracted from a number
Multiplication ( x ) times Eight times a number 8x the product of The product of fourteen and a number 14x twice; double Twice a number; double a number 2x multiplied by A number multiplied by negative six −6x of Three fourths of a number
Division ( ÷ ) the quotient of The quotient of a number and seven divided by Ten divided by a number the ratio of The ratio of a number to fifteen
Powers ( x^n ) the square of; squared The square of a number; a number squared x^2 the cube of; cubed The cube of a number; a number cubed x^3
Equals ( = ) equals Seven less than a number equals ten. x − 7 = 10 is Three times a number is negative six. 3x = −6 is the same as Eight is the same as twice a number. 8 = 2x yields Twelve added to a number yields five. x + 12 = 5 amounts to Nine less a number amounts to twenty. 9 – x = 20
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Operation: Addition ( + )
Key word/phrase: plus, more than, the sum of, the total of, increased by, and added to.
Example: A number plus three, Ten more than a number, The sum of a number and five, The total of six and some number, A number increased by two, Eleven added to a number.
Translation: x + 3, x + 4, x + 10, x + 5, x + 2, 6 + x, x + 11 and so on.
Subtraction ( − ) minus A number minus seven X – 7 less than Four less than a number X – 4 the difference of The difference of a number and three X – 3 less Nine less a number 9 – X decreased by A number decreased by twelve X – 12 subtracted from Six subtracted from a number
Multiplication ( x ) times Eight times a number 8x the product of The product of fourteen and a number 14x twice; double Twice a number; double a number 2x multiplied by A number multiplied by negative six −6x of Three fourths of a number
Division ( ÷ ) the quotient of The quotient of a number and seven divided by Ten divided by a number the ratio of The ratio of a number to fifteen
Powers ( x^n ) the square of; squared The square of a number; a number squared x^2 the cube of; cubed The cube of a number; a number cubed x^3
Equals ( = ) equals Seven less than a number equals ten. x − 7 = 10 is Three times a number is negative six. 3x = −6 is the same as Eight is the same as twice a number. 8 = 2x yields Twelve added to a number yields five. x + 12 = 5 amounts to Nine less a number amounts to twenty. 9 – x = 20
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Answer:
Sample mean =119.42
Median = 92
25% trimmed mean = 102.42
10% trimmed mean = 95.69
Step-by-step explanation:
Data in increasing order :
12 13 20 23 31 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249 262 289 323 388 513
Total no. of observations = 50
Sample mean =
= = 119.42
Median: Since we have even number of observation
Median = =
= 92
10% Trimmed Mean: We remove 5 values from each side
Trimmed set = 35 40 43 48 49 58 62 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141 147 159 161 168 183 207 249
Trimmed mean = =
= 102.42
25% Trimmed Mean: We remove 12 values from each side.
Trimmed set = 66 67 69 71 73 77 78 79 82 85 86 89 91 93 97 99 101 105 106 106 112 117 124 135 139 141
Trimmed mean = =
= 95.69