Improve Your Algebra Skills with Practice Problems

1.After several tries of measuring, Lydia gets the results of 2.75, 2.76, 2.30 cm. She realized that the results of measurement is closest to the actual measurement which is 3.25. What is the implication of her measurements? Is it Accurate and precise?
2.I measured the length of cabinet 3 times. The results of my measurements are 3.44 m, 3.55 m, 3.47 m. Afterwards, I compared it to the results with each other. What did I was trying to find out? Is it precision?

Range Rule of Thumb for Interpreting s The 20 brain volumes $(c{m}^3)$ from Data Set 8 “IQ and Brain Size” in Appendix B have a mean of $1126.0c{m}^3$ and a standard deviation of $124.9c{m}^3$ . Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of $1440c{m}^3$ be significantly high?

Jamal hiked on two trails. The first trail was ${\displaystyle 3\frac{1}{3}}$ miles long, and the second trail was 1 ${\displaystyle \frac{3}{5}}$ times as long as the first trail. How many miles did Jamal hiked ? Answer as a mixed number in simplest form.

An athlete must travel 30 km in his last 5 days of preparation for a competition. the first day runs ${\displaystyle \frac{23}{2}}$ km, the second ${\displaystyle \frac{15}{4}}$ km, the third day ${\displaystyle \frac{16}{3}}$ km and the fourth day​​​​​​​ ${\displaystyle \frac{35}{6}}$ km. How much km did the athlete travel in these four days?

Two independent measurements are made of the lifetime of a charmed strange meson. Each measurement has a standard deviation of $7\times {10}^{-15}$ seconds. The lifetime of the meson is estimated by averaging the two measurements.
What is the standard deviation of this estimate ?

Write the following ratio as a ratio of whole numbers using fractional notation. 14 hours to 3 days

Cy needs to buy a package of dish towels. The original price is $15.The dish towels are now on sale for 20%. How much will Cy pay for the dish towels on sale?

Luke has a credit limit of $8,500 on his credit card. He had a previous balance of $4,236.87 and made a $3,200.00 payment. The total of his purchases is $989.42. What is Luke's available credit?

To solve: ${\displaystyle x+3.9=4.2}$

Michelle is studying the relationship between the hours worked (per week) and time spent reading (per day) and has collected the data shown in the table. The line of best fit for the data is $y=-0.79x+98.8$.
Hours Worked (per week) 30405060 Minutes Reading (per day) 75685852
(a) According to the line of best fit, the predicted number of minutes spent reading for a person who works 27 hours (per week) is 77.47.
(b) Is it reasonable to use this line of best fit to make the above prediction?
Select the correct answer below:
1.The estimate, a predicted time of 77.47 minutes, is unreliable but reasonable.
2.The estimate, a predicted time of 77.47 minutes, is reliable but unreasonable.
3.The estimate, a predicted time of 77.47 minutes, is both unreliable and unreasonable.
4.The estimate, a predicted time of 77.47 minutes, is both reliable and reasonable.

${\displaystyle {(-1.5)}^{11}\times (-1.5)}$

Solve the equation

$\frac{3}{\sqrt{2x}}$

The temperature dropped $2^{\circ }F$ every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours? Explain how you determined your answer.

Complete the sentence. 40,000 is 10 times as much as _____.

This is from a recent news article about a study on children using drugs: “The researchers analyzed the data to estimate the average age at first-time use for 18 internationally regulated drugs for each year included in the study. Looking at year-to-year trends, they found that the average age at first use had increased for 12 out of 18 drugs, including alcohol, cocaine, ecstasy, hallucinogens, heroin, inhalants, LSD, marijuana, stimulants, and tobacco products such as cigars, cigarettes and smokeless tobacco. For the other six drugs— crack cocaine, methamphetamines, opioids, PCP, sedatives, and tranquilizers—they found no statistically significant changes in the age at first use.”

A water tower can hold 52,000 liters of water. It currently contains 13,000 liters and is being filled with 90 liters per minute. How many hours are remaining for it to get filled?

Write an algebraic expression for each word phrase. 4 more than p