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
</span>Like,
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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A square has 4 equal sides, which means when you need to work out the area, you're doing length × width, but the length and width are exactly the same, because it's a square (look at the picture if you don't understand this).
That means you just have to pick any side (let's call this side x), and multiply it by another side of the square. Now, because all of the sides are equal, you're doing x multiplied by x, which is the same as x².
Therefore, if the area is equal to x², and in this question, it's also equal to 49 (as stated in the question), we can equate them to each other:
x² = 49
Now to get the x by itself, we need to do the opposite of squaring, which is square rooting. Therefore, we square root both sides of the equation:
√x² = √49
The √ and the ² cancel out, so you're just left with x:
x = √49
The square root of 49 is just 7, so we can replace √49 with 7, and we get:
x = 7
Now remember, earlier, I called x the value of one side. Therefore, by remembering that, you know that the value of one side is equal to 7. And because all the sides are the same as each other, each side is equal to 7 metres.
Therefore, your final answer is 7 metres :)
