5003 Praxis Practice Test
Question 1 of 5.
The annual profit of Company X for five years is given in the preceding line graph. Which of the following can be concluded from the line graph?
A. The annual profit increased every year over the five years.
B. The annual profit increased at a constant rate over the five years.
C. The average of the four changes in annual profit for consecutive years is positive. –
D. The largest increase in annual profit was $400,000.
Explanation: Compute year-to-year changes and their average. Profit changes (in thousands): 2001−2000 = 400−200 = +200; 2002−2001 = 300−400 = −100; 2003−2002 = 600−300 = +300; 2004−2003 = 700−600 = +100. Sum = 200 − 100 + 300 + 100 = 500. Average change = 500 ÷ 4 = 125 (thousand dollars), which is positive. Therefore statement 3 is true. Statements 1 and 2 are false because profits do not rise every year (there is a dip in 2002) and the slope is not constant. Statement 4 is false because the largest single-year increase is 300 (thousand dollars), not 400. So only the average-of-changes statement can be concluded. Not every year increase, dip 2002. Rate not constant, varies. Largest 300k, not 400k. Average positive yes.
Question 2 of 5.
Students at a local middle school are selling candy bars for a fund-raiser. The candy bars come packaged in cases of 60 bars, and the school makes a $0.75 profit from each candy bar sold. How many cases of candy bars need to be sold for the school to make a profit of $900?
A. 8
B. 12
C. 20
D. 40
Explanation: 900 / 0.75 = 1200 bars; 1200 / 60 = 20 cases. 8 too few. 12 insufficient. 40 excessive. Calculation determines exact need.
Question 3 of 5.
Each of the digits 3. 5. 7, and 8 is written on its own card. The four cards are given to a student, and then the student is asked to use the cards to form the largest three-digit number that is greater than 300 and less than 700. In the number formed, what digit will be in the tens place?
A. 3
B. 5
C. 7
D. 8
Explanation: Largest under 700 over 300: 583, tens 8. Other arrangements smaller. Maximizes by placing highest in higher places.
Question 4 of 5.
A car travels at a constant speed of x miles per hour. Which of the following expressions gives the distance in miles, the car will travel in hours?
A. x+t
B. t+x
C. xt
D. (xt)²
Explanation: Distance = rate * time, xt. Others not formula. Expression computes miles correctly.
Question 5 of 5.
In the number shown, which of the following is the value of the underlined digit?
A. 9 × 1 ^ - 2
B. 9 × 10 ^ - 2
C. 9 ×100^ 2
D. 9×1.000^ - 2
Explanation: To find the value of the underlined digit in 345.792, first identify the digit. The underlined digit is 9. Next, determine its place value. The digit 9 is located in the hundredths place, which means it represents parts out of one hundred. Place value positions to the right of the decimal point are tenths, hundredths, thousandths, and so on. Since 9 is in the hundredths place, its value can be expressed as a fraction or as a power of ten. The hundredths place corresponds to on, which is equivalent to 10-2. Therefore, the digit 9 in this position represents 9 * 1/100 or 9 * 10 ^ - 2 When simplified, this equals 0.09. This confirms that the value of the underlined digit is 9 * 10 ^ - 2 which correctly represents its place value. 100