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
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Q #1: A student performs the following estimations. 35+192 230 258+350 610 947+1032 1980 Based on these estimations, which of the following is the student’s estimate of 694+7618?
A. 8320
B. 8500
C. 8300
D. 8310
Answer Explanation
Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows
35+192=227
258+350=608
947+1032=1979
From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.
694+7618=8312
We can approximate 8312 based on the provided choices is 8310.
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Q #2: Which of the following statements is true about the graph?
A. The Chargers points per game decreased between seasons seven times between 1996 and 2015
B. The Chargers scored their lowest number of points per game in 2003-04 season
C. The Chargers scored their greatest number of points per game in the 2006-07 season
D. The Chargers points remained unchanged in the seasons 2012-13 and 2013-14.
Answer Explanation
Looking at the give curve, we analyze each statement as:
- For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.
- For statement 2: the lowest points scored per game was in 1998-99 season and not in 2003-04 season. So, the statement is false.
- For statement 3: 2008-09 was the season the chargers scored the greatest number of points per game. So, this statement is false.
- For statement 4: the two season which no change in the points were 2012-13 and 2013-14. So this is true according to given curve.
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Q #3: If a box of 55 syringes costs $660.00, which of the following is the cost of four syringes?
A. $51.00
B. $26.00
C. $32.00
D. $48.00
Answer Explanation
: the question requires we find the cost of four syringes.
If we let x be the cost of four syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes
Cross-multiply to solve for x
Rearranging the above
Divide both sides of the equation by 55
Thus, the cost of 4 syringes is $48.
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Q #4: One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 230 gallons of solution to clean all of the floors, how much ammonia is needed?
A. 1380 gallons
B. 6900 gallons
C. 1380 oz
D. 1400 oz
Answer Explanation
from the given data, one gallon of cleaning solution requires 6 oz of ammonia. The mathematical expression of this statement can be expressed in two ways:
Or
The question requires we find the amount of ammonia needed to make 230 gallons of the solution. So, we use the second option and proceed as follows:
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 1380 oz of ammonia.
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Q #5: 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
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 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.
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Q #6: Which of the following values is the greatest?
A. 11/2
B. 5.4
C. 13/3
D. 6.25
Answer Explanation
Before we compare the values of the options, we convert the decimals to fractions.
5.4 becomes 54/10
6.25 becomes 625/100
Thus, the set of fractions is 11/2, 54/10, 13/3, 625/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.
11/2*300=1650
54/10*300=1620
13/3*300=1300
625/100*300=1875
From the above, 1875 is the greatest value which corresponds to 6.25. Therefore, 6.25 is the greatest value of all the choices given.
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Q #7: Jacob has $100. She spends 87% of the money. She then invests the remaining amount and earns a profit of 75%. How much money does she now have?
A. $13.00
B. $87.00
C. $22.75
D. $9.75
Answer Explanation
We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.
Amount Jacob spends=87% of $100=87/100*100=$87
Amount left to invest=$(100-87)=$13
Jacob is left with $13, which she invests and earns a profit of 75%.
Profit earned on invested amount=75% of $13=75/100*13=$9.75
So, Jacob will have $13+$9.75=$22.75
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Q #8: A bucket can hold 2500 mL. How many L can the bucket hold?
A. 0.25 mL
B. 25 mL
C. 2.5 L
D. 250 L
Answer Explanation
Explanation: We know that 1 L=1000 mL and to change between L and mL we use the following two options
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Q #9: An athlete runs 5 miles in 25 minutes and then changes their pace to run the next 3 miles in 15 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?
A. 7 minutes
B. 5 minutes
C. 6.5 minutes
D. 8.5 minutes
Answer Explanation
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered in the two runs.
Total distance=5+3=8 miles
Total time=25+15=40 minutes
We now know that the athlete runs 8 miles in 40 minutes, so the time the athlete will run in 1 mile will be:
In 5 minutes, the athlete runs 1 mile.
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Q #10: The scatter plot below shows the relationship between the student’s exam scores and the students’ heights. Which of the following types of correlation is shown on the scatter plot?
A. Positive
B. Positive and negative
C. Negative
D. No correlation
Answer Explanation
correlations fall into positive, negative, and no correlation. A positive correlation shows that an increase in one variable increase results in an increase on the other variable increases as shown.
A negative correlation scatter plot shows that an increase in one variable results in a decrease on the other one.
The no-correlation scatter plot demonstrates that there is no response between variables. A change in one variable has no effect on the other variable.
Looking at the provided scatter plot, the heights of the students does not have any relationship on the students’ scores. Thus, the type of correlation is no correlation.
