If x represents the width of a rectangle and length is six less than two times the width, which of the following expressions represents the length of the rectangle in terms of x?
A. 2x-6
B. 6-2x
C. 6x-2
D. 3x-4
To form an equation from the word problem, first break the given statement into smaller statements.
First, we are given the width of the rectangle as x. We are told, the length is two times width. Mathematically, this means
Length=2*width=2*x=2x
Now, the length is 6 less than 2 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:
Length =2x-6
Thus, the length of the rectangle is 2x-6.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
-
Q #1: Which of the following is the greatest value?
A. 43÷55
B. 5/7
C. 0.729
D. 73%
Answer Explanation
we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.
43÷
55=43/555/7
0.729=729/1000
73%=73/100
Now, we need to find the least common denominator of 55, 7, 1000, and 100, which is 77000. We multiply each fraction by 77000 as follows:
43/55*77000=60200
5/7*77000=55000
729/1000*77000=56133
73/100*77000=56210
From the calculated values, it can be noted that 43/55 is the greatest value among the given options.
-
Q #2: A sweater that normally sells for $78 is marked 15% off. Which of the following estimates the sale price of the sweater?
A. $12
B. $66
C. $22
D. $69
Answer Explanation
we are to find the selling price of the sweater from the marked price and the discount. The marked price is given as
Discount=mark off rate*original price
Discount=15%*$78
Convert 15% into a fraction, which become 15/100=0.15. Then
Discount=0.15*$78=$11.70
The selling price of the sweater will be the original price less the discount or mark off value. Then,
Thus, the approximate selling price of the sweater is $66.
-
Q #3: "Twelve less than thrice a number." Which of the following translates the phrase above into a mathematical expression?
A. 3x-12
B. 12-3x
C. 3-12x
D. 12x-3
Answer Explanation
We convert the given word problem into a mathematical expression.
Let the number be x.
Thrice a number = 3x
Twelve less than thrice a number = 3x-12
Thus, the required mathematical expression is 3x-12
