Exam 5: Exponents and Polynomials

Clear fractions then solve by substitution. -x + y = y - 3 x - y = 5x - y

Clear fractions then solve by substitution. - + = 4 - 2y = 21

Write a system of equations for the problem, and then solve the system. -Two cars leave a city and head in the same direction. After 6 hours, the faster car is 60 miles ahead of the slower car. The slower car has traveled 312 miles. Find the speeds of the two cars.

Provide an appropriate response. -When solving a system of equations, you get x - 2 = x - 2. How many solutions are there?

Solve the problem. -The graphs below represent the supply and demand for a product at various prices per unit. At what price does supply equal demand?

Solve the problem. -The graphs below represent the supply and demand for a product at various prices per unit. How many units should be produced so that supply equals demand?

Provide an appropriate response. -Decide whether the elimination method or the substitution method involves the least amount of work. Do not solve. -4x + 2y = -26 -7x + 9y = -18

Write the word or phrase that best completes each statement or answers the question. -2x + 3y = 6 4x + 2y = -6 What number would you multiply the top equation by to eliminate the x terms?

Choose the one alternative that best completes the statement or answers the question. Solve the system by the elimination method. --5x + 4y = 1 -15x + 12y = 3

Choose the one alternative that best completes the statement or answers the question. Choose the correct response. -What is the speed of a plane that travels at a rate of 584 mph with a wind of r mph?

Does the system have one solution, no solution, or an infinite number of solutions? -x + 2y = 0 Y = - x

GraphSolve the system by substitution. -2x + y = -2 Y = 4x - 2

Choose the one alternative that best completes the statement or answers the question. Choose the correct response. -Suppose that x ounces of a 25% acid solution are mixed with y ounces of a 35% solution to obtain 73 ounces of a 32% solution. One equation in a system for solving this problem is Which of the following is the other equation?

Solve the system by elimination. -9x - 6y = 0 6x - 4y = 0

Choose the one alternative that best completes the statement or answers the question. Solve the system by the elimination method. -X - 5y = 35 8x - 6y = 76

Decide whether the ordered pair is a solution of the system. -( -6, -5) y - 2x = 4 x + y = -4

Solve the system by elimination. -6x - 5y = 35 -2x + 3y = -21

Provide an appropriate response. -Solving for which variable in which equation involves the least amount of work? Y = 4x + 23 4x + 8y = -104

Choose the one alternative that best completes the statement or answers the question. Solve by the substitution method. -x - 3y = 9 -2x - 2y = 6

Solve the system by graphing. -