2(4x+3)=7x+5 Solve the equation above for x. Which of the following is correct?
A. 1
B. 2
C. -1
D. 11
we follow the order operations to solve for the unknown value of x.
2(4x+3)=7x+5
Open the bracket on the LHS by multiplying each term by 2
(2*4x)+(2*3)=7x+5
8x+6=7x+5
Subtract 6 from both sides
8x+6-6=7x+5-6
8x=7x-1
Subtract 7x on both sides
8x-7x=7x-7x-1
X=-1
Thus, the value of unknown value of x is -1.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
-
Q #1: Lana has $60. She spends 80% of the money. She then invests the remaining amount and earns a profit of 80%. How much money does she now have?
A. $21.60
B. $86.40
C. $9.60
D. $60
Answer Explanation
we are needed to find the amount Lana is left with after spending and investing the rest using the given information.
Amount Lana spends = 80% of $60= 80/100 * 60 = $48
Amount left to invest = $(60-48) = $12
Lana is left with $12, which she invests and earns a profit of 80%.
Profit earned = 80% of $12 = 80/100 * 12 = $9.20
So, Lana will have $12 + $9.20 = $21.60
-
Q #2: The scatter plot below shows the relationship between the number of hours a student listens to music and the student’s test scores. Which of the following types of correlation is shown on the scatter plot?
A. Positive
B. Positive and negative
C. No correlation
D. Negative
Answer Explanation
scatter plots can of three types: positive, negative and no correlation. A positive correlation scatter plot shows that as one variable increase, the other variable increases. A positive correlation can be visually depicted below.
In a negative correlation, the change in one variable is inversely proportional to another variable. That is, as one variable increases, the other variable decreases as shown below.
The third type of scatter plot is a no-correlation scatter plot. In this type of plot, there is no defined relationship between one variable and another one as in the curve below.
If we look at the relationship between the time the student listens to music and his test score, it is evident that no relationship exists between the two variables. Thus, this is a type of no correlation scatter plot.
-
Q #3: A nurse earns $800.00 per week before any tax deductions. The following taxes are deducted each week: $83.00 federal income tax, $38.00 state income tax, and $79.00 Social Security tax. How much will the nurse make in 4 weeks after taxes are deducted?
A. $2,600.00
B. $3,000.00
C. $2,400.00
D. $2,800.00
Answer Explanation
we need to find the net income of the nurse in 4 weeks from the weekly net income.
Weekly net income=gross income-total tax
Total tax=federal income tax+state income tax+Social Security tax
Total tax=$(83.00+38.00+79.00)
Total tax=$200.00
Weekly net income=$(800.00-200.00)=$600.00
In one week, the net income of the nurse is $600.00 and in 4 weeks the nurse will a net income of:
The nurse will earn $2,400.00 in 4 weeks after taxes are deducted.
