Addition and Subtraction of Polynomials Answers

What is the maximum value of P = 24x + 30y, given the constraints on x and y listed below?

Samir begins riding his bike at a rate of 6 miles per hour. Twelve minutes later, Chris leaves from the same point and bikes along the same route at 9 miles per hour. How long after Chris begins riding does he catch up to Samir?

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Michael is paid $9 per hour to work at the movie theater and $7 per hour when he helps his aunt at her bakery. Michael cannot work more than 32 hours in a week, but he wishes to earn at least $251 each week. Which weekly work schedule is within Michael’s constraints?

Matrix C is a transformation of matrix B, and matrix B is a transformation of matrix A, as shown below.Which matrix represents matrix C?

Mark is solving the following system.Step 1: He multiplies equation (1) by 7 and adds it to equation (3). Step 2: He multiplies equation (3) by 2 and adds it to equation (2). Which statement explains Mark’s mistake?

The matrix below represents a system of equations.What is the solution to this system of equations?

The tables below show running hours of three printers that produce greeting cards and the total number of greeting cards produced over three weeks. Number of Hours Machine Is Running Printer APrinter BPrinter CWeek 1405045Week 2455035Week 3504050 Total Cards ProducedWeek 17,950Week 27,350Week 38,700Printer B uses $15 in ink every hour. What is the ink cost for each card coming from printer B?

Given that the solution set to a system of three linear equations is a line, which of the following is true about the system?

Which equation can pair with x – y = –2 to create a consistent and dependent system?

Which region represents the solution to the given system of inequalities?

Jim’s family is choosing whether to go to a restaurant for lunch or for dinner. The cost of a salad is $7 at lunch and $9 at dinner. The cost of a steak is $10 at lunch and $12 at dinner. Each person will choose either a salad or a steak regardless of the mealtime. Jim calculates the food bill to be $41 if they go during lunch and $51 if they go during dinner. How many people will choose a salad?

A group of children, adults, and senior citizens attended three different art exhibits that have different ticket prices for each age group. Let c represent the number of children, a represent the number of adults, and s represent the number of senior citizens. The system represents the cost of each type of ticket and the total cost of the tickets for all three exhibits. What are the numbers of children, adults, and seniors citizens that attended these three exhibits?

A tennis team has 24 members. There are twice as many girls as boys on the team. How many girls are on the tennis team?

A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a profit of $3.10 per sandwich. The roast beef special uses two slices of bread and three slices of cheese. The turkey special uses two slices of bread and four slices of cheese. The deli has 120 slices of bread and 160 slices of cheese available for the specials. The deli wants to maximize its profit selling specials. Let x represent the number of roast beef specials and y represent the number of turkey specials. What are the constraints for the problem?

Which graph shows the solution to the following system of inequalities?

Ming drew a triangle. The sum of the angles of the triangle is 180º. In Ming’s triangle, B is twice the measure of A, and angle C is 5º greater than four times A. The system of equations below can be used to find the measure of the three angles, where a represents the measure of A, b represents the measure of B, and c represents the measure of C.a + b + c = 180 2a = b 4a + 5 = cWhich matrix represents the measure of each angle in Ming’s triangle?

The table below shows the number of times the dishwasher was used in three different houses over three days. Dishwasher Use House AHouse BHouse CFriday122Saturday234Sunday223On Friday, 17.5 total gallons of water were used. On Saturday, 31.5 total gallons were used. On Sunday, 24.75 total gallons were used. What is the difference between the water use per load of the dishwasher that uses the most water and the dishwasher that uses the least water?

On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?

A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?