Praxis study guide Math 5003
What is the value of the expression below when x = 6?
7x + 3x
**** - CORRECT ANSWER-60
7 × 6 = 42 and 3 × 6 = 18 Then, 42 + 18 = 60
Another approach would be to combine like-terms and then multiply:
7x + 3x = 10x = 10 × 6 = 60
Which of the following has the least value? **** - CORRECT ANSWER-0.0518
NOTE:
This has the least value of the set. The tenths place has a 0 while the other
numerals have a 5 in the tenths place.
A mathematics teacher determines that the median score for the most recent test
was 80 percent. Which of the following is the most accurate interpretation of the
result? - CORRECT ANSWER-Half the students scored an 80 percent or below.
NOTE:
Median is the middle number in a data set. It is calculated by arranging the
numbers from least to greatest and finding the number in the middle; if there is
not one middle number, then the median is the average of the two numbers. For
example, in the data set 1, 2, 3, 4 the median is 2.5 because 2.5 is the average
of 2 and 3. If the median score is 80, then it can be assumed half the students
scored below 80 and half the students scored above 80.
During a trip to Mexico, a traveler noticed that 10.00 US dollars were worth
191.42 pesos. Based on this exchange rate, 300.00 pesos are worth
approximately how many US dollars? - CORRECT ANSWER-15.67
Set up a proportion and solve: 10.00 US dollars/191.42 pesos= 300
pesos/191.42 pesos
10.00 US dollars=300 pesosx
3000=191.42
, 3000=191.42x (divide both sides by 191.42)
x≈15.67 US dollars
Which of the following is the greatest common divisor of 3300 and 1050?**** -
CORRECT ANSWER-150
NOTE:
The prime factors of 3300 are 22 · 3 · 52 · 11 and the prime factors of 1050 are 2
· 3 · 52 · 7.
The prime factors that are common to the two numbers are 2 · 3 · 52 = 150.
If the result of performing all four of the steps below is 28, what value was
chosen for b?
Step 1: Select a number, b
Step 2: Divide b by 3
Step 3: Subtract 5 from the result
Step 4: Multiply the result by 7
**** - CORRECT ANSWER-27
NOTE:
Work the steps in reverse order from the final answer to find the starting value,
using the inverse of the operation presented in each step.
From step 4: 28÷7=4 28÷7=4
From step 3: 4+5=9 4+5=9
From step 2: 9×3=27 9×3=27, giving a value of b=27.
Which of the following is equivalent to the expression below?
2x+4y−3x+6
**** - CORRECT ANSWER-−x+4y+6
In the expression, 2x and -3x are like terms and therefore can be combined by
adding the coefficients and keeping the variables the same: 2x and -3x is -x.
The 4y and 6 cannot be combined, and are therefore left as is.
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