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Question 1 of 10
The length of a rectangle \(l\), is three times its width \(w\). If the length is increased by 5 units and width is increased by 2 units, the area of a rectangle is given by which of the following expression?
Question 2 of 10
A quadratic function has roots at \((-3, 0)\) and \((5, 0)\). Which of the following could represent the minimum point of the function?
Question 3 of 10
The height of an airplane is increasing at a constant rate. Ten minutes after takeoff, the plane is 1,225 feet above sea level. Twenty-five minutes after takeoff, the plane is 15,570 feet above sea level. Which of the following is the value of the constant rate at which the plane’s height is increasing per minute?
Question 4 of 10
George takes 3 hours to mow a lawn. Jacob takes 6 hours to mow the same lawn. How long will it take if both of them mow 3 lawns together?
Question 5 of 10
Amanda pays her cell phone company 50 dollars a month, plus 1 dollar for every minute spoken and 50 cents for each text message sent. Betty pays her cell phone company 25 dollars a month, plus 2 dollars for every minute spoken and 75 cents for each text message sent.
If both speak for 100 minutes a month, and send 200 text messages a month, how much more money will Betty spend than Amanda in 1 year?
Question 6 of 10
What is the absolute value of the sum of the solutions to the polynomial shown below?
\(x^2 − 15 = 2x\)
Question 7 of 10
The New Express Bank issues its credit cards worldwide. When a customer makes a purchase using these credit cards in a foreign currency, the bank converts the purchase price at the daily foreign rate and then charges a 5% fee on the converted cost.
Marla lives in the USA, and is currently on vacation in Shanghai, China. For a purchase that she made in Shanghai for 75 Yuans, the bank posted a charge of $12.42 to her account, including the 5% fee. What Foreign Exchange Rate in (Chinese Yuan per US dollar) was used to calculate Marla’s purchase? Round your answer to the nearest hundredths.
Question 8 of 10
When \(3x^2 + 4x + 1\) is divided by \(3x + 1\), the quotient is:
Question 9 of 10
Joe eats at the same restaurant every night and orders the same meal. The total cost of his food is \( \$24.75\), and then an 8% sales tax is added to this amount. Joe also leaves a 12% tip that he calculates based on his \( \$24.75\) meal cost.
How much money does Joe spend at this restaurant in each month that has 31 days?
Question 10 of 10
\(\dfrac{1}{2}x − \dfrac{1}{4}y = 5\)
\(14x − by = 140\)
In the system of linear equations above, \(b\) is a constant. If the system has infinite solutions, what is the value of \(b\)?
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