Exam 2: Linear Equations

Solve by using the multiplication property of equality. -The Smith family is planning a 245-mile trip. They plan to travel at an average speed of 35 miles per hour. Determine the number of hours the trip will take.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -Two angles of a triangle are 50° and 100°. What is the measure of the third angle?

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -Find the measure of an angle whose supplement is 3 times the measure of its complement.

Solve the problem. -To convert a Fahrenheit temperature to a Celsius temperature, we subtract 32 from the Fahrenheit temperature and then multiply the result by $\frac { 5 } { 9 }$ . When the temperature is $68 ^ { \circ } \mathrm { F }$ , what is the temperature in degrees Celsius? Round to the nearest tenth of a degree.

Solve the problem. -Matthew has two different stocks. One of the stocks is worth $9 more per share than the other. He has 16 shares of the more valuable stock and 32 shares of the other stock. His total assets in stocks Is $2208. How much is the more expensive stock worth per share?

Determine whether the given value is a solution of the equation. -p = 7 $p$

Determine whether the given equation is linear. - $5 - 3 x ^ { 2 } = 4$

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Write a linear equation with parentheses that is a contradiction.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -If three times the smaller of two consecutive integers is added to four times the larger, the result is 109. Find the smaller integer.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -A circle has a circumference of 26π meters. Find the radius of the circle.

Solve the problem. -70% of 300 is what number?

Solve the problem. -961 is what percent of 798? Round to the nearest tenth of a percent.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -A rectangular horse pen is to be fenced and divided into five partitions as shown. The length of the fenced-in area is to be twice the width, and the total amount of fencing to be used is 250 feet. Find The length and width of the fenced-in area.

Determine whether the given equation is linear. --2 = 4x + 7

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -The solution set for the equation 6(4s - 3) = 24s - 18 is given as 0. Is this correct? Explain.

Solve the problem. -Andy has some $10 bills and some $20 bills in a shoebox under his bed. He has a total of 53 bills worth a total of $700. How many $20 bills does he have?

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -A rectangular Persian carpet has a perimeter of 176 inches. The length of the carpet is 18 inches more than the width. What are the dimensions of the carpet?

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The sum of twice a number and 17 less than the number is the same as the difference between -33 and the number. What is the number?

Solve the problem. -Mardi received an inheritance of $60,000. She invested part at 12% and deposited the remainder in tax-free bonds at 10%. Her total annual income from the investments was $6600. Find the amount Invested at 12%.

Solve the problem. -Annika invested in a plan that has an APR of 8%. She invested in a 11% APR account $2500 more than she invested in the 8% account. If the total interest from the investments after 1 year is $3695, Then what is the total amount that she invested?