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. 12x - 2
D. 3x + 12
We need to form a mathematical expression from the given word problem.
Let the unknown number be x.
Thrice a number is three times = 3x
Twelve less than thrice a number = 3x-12
Thus, the mathematical expression from the word problem is 3x-12
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: If x represents the width of a rectangle and length is four less than three times the width, which of the following expressions represents the length of the rectangle in terms of x?
A. 4 - 3x
B. 3 - 4x
C. 4x - 3
D. 3x - 4
Answer Explanation
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 three times width. Mathematically, this means
Length=3*width=3*x=3x
Again, the length is 4 less than 3 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:
Length =3x-4
This is the required equation.
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Q #2: A doctor earns $980.00 per week before any tax deductions. The following taxes are deducted each week: $85.00 federal income tax, $40.00 state income tax, and $81.00 Social Security tax. How much will the doctor make in 4 weeks after taxes are deducted?
A. $3,096.00
B. $3,00.00
C. $3,00.00
D. $3,200.00
Answer Explanation
We are required to find the doctor’s earning in 4 weeks after taking off taxes.
The first step is to find the total weekly deductions as follows:
Total weekly tax=federal income tax + state income tax + Social Security tax
Total weekly tax=$(85.00+40.00+81.00)
Total tax=$206.00
The next step is to find the weekly income after deducting total taxes
Weekly net income=gross income-total tax
Weekly net income=$(980.00-206.00)=$774.00
In one week, the net income of the doctor is $774.00 and after 4 weeks, the net income will be 4 times his weekly earning
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Q #3: The graph below represents the amount of rainfall in a particular state by month. Which of the following is the total rainfall for the first 5 months of the year?
A. 11 inches
B. 7.5 inches
C. 4.5 inches
D. 3.5 inches
Answer Explanation
The first five months of the year are January, February, March, April, and May. We use to graph to find the amount of rainfall in each month as follows:
In the month of January, rainfall was between o and 1, which is halfway. Therefore, rainfall in January is 0.5 inches
On February, rainfall was 1 inch and on March the rainfall was 2 inches.
On April, the rainfall amount was 4 inches while on month of May, the rainfall was about 3.5 inches. Therefore, total rainfall in the first 5 months was:
Total rainfall=0.5 inches+1 inches+ 2 inches+4 inches + 3.5 inches =11 inches
