3(2x+5)=11x+5 Solve the equation above for x. Which of the following is correct?
A. 1
B. 2
C. -1
D. -2
We follow the order operations to solve for the unknown value of x.
3(2x+5)=11x+5
Open the bracket on the LHS by multiplying each term by 3
(3*2x)+(3*5)=11x+5
6x+15=11x+5
Subtract 15 from both sides
6x+15-15=11x+5-15
6x=11x-10
Subtract 11x on both sides
6x-11x=11x-11x-10
-5x=-10
Divide both sides by -5
-5x/-5=-10/-5
x= 2
Thus, the value of unknown value of x is 2.
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
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Q #1: Simplify the expression below. Which of the following is correct? 3.45 * 0.53
A. 1.8285
B. 18.285
C. 0.18285
D. 182.85
Answer Explanation
To solve the equation this equation, we use a calculator and find the product as:
3.45 * 0.53 = 1.8285
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Q #2: 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.
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Q #3: 3(x-2)=12 Solve the equation above for x. Which of the following is the correct answer?
A. 6
B. -2
C. -4
D. 2
Answer Explanation
: In order to solve for the value of x, we use the order of operations as follows:
The first step is to divide both sides by 3
Add 2 to both sides to eliminate it from the left-hand side of the equation
x-2+2=4+2
x = 6
Thus, the value of x is 6.
