5003 Praxis Practice Test
Question 1 of 5.
The first four terms of an arithmetic sequence are shown. Which of the following is an expression for the total number of dots in the nth term of the sequence?
A. 10n-3
B. 7n+3
C. 3n+4
D. n+6
Explanation: Count the dots in the figures: 7, 10, 13, 16. The difference between consecutive terms is constant (3), so this is an arithmetic sequence with common difference d = 3 Use the formula a_{n} = a_{1} + (n - 1) * d with a_{n} = 7 + (n - 1) * 3 = 7 + 3n - 3 = 3n + 4 Verify: n = 17, n=210, n = 3 -> 13 n = 4→16. Thus the total number of dots in the nth term is given by 3n + 4 This linear rule increases by three each term and can predict any term (for example, the 50th term is 3 * 50 + 4 = 154 ). a_{1} = 7. First option 10n-3: n=1 7, no 10-3=7 yes, n=2 20-3=17 no. Second 7n+3: n=1 10, no. Fourth n+6: n=1 7 yes, n=2 8 no. Only third fits all terms consistently, confirming arithmetic progression with initial 7, difference 3.
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