MId Chapter Review on Linear Systems
Chapter
Chapter 1
Section
MId Chapter Review on Linear Systems
Solutions 16 Videos

Doreen has $10 to buy apples and pears. Use each representation below to determine the possible amounts of each type of fruit she can buy. a) table b) graph c) equation Buy to View Q1 Jon downloads music to his MP3 player from a site that charges$12.95 per month and $0.45 per song. Another site charges$8.99 per month and $0.95 per song. Compare the cost of the two sites using a table and a graph. Buy to View Q2 The graph shows how Sally’s weekly earnings vary with the dollar value of the sales she makes at a clothing store. a) What do the coordinates (1500, 360) mean? b) Use the graph to determine what Sally earns when her sales are$3200.

c) Use the graph to determine what sales Sally needs to make if she wants to earn $450. d) Check your answers for parts b) and C) algebraically. Buy to View Q3 a) Determine an equation for the perimeter of any rectangle whose width is 8 cm less than its length. b) Determine the length of the rectangle whose width is 72 cm. Buy to View Q4 Solve each linear system. \displaystyle \begin{array}{llllllll} &y = x+ 4\\ &y = -2x + 1 \end{array}  Buy to View Q6a Solve each linear system. \displaystyle \begin{array}{llllllll} &y = 4x - 7\\ &2x - 3y =6 \end{array}  Buy to View Q6b Solve each linear system. \displaystyle \begin{array}{llllllll} & 3x - y =3\\ & 2x + y = 2 \end{array}  Buy to View Q6c Solve the linear system. \displaystyle \begin{array}{llllllll} & 5x - 2y = 10\\ & 2x + 4y =4 \end{array}  Buy to View Q6d Solve the linear system. \displaystyle \begin{array}{llllllll} & y = 5x - 8 \\ & 10x - 5y =7 \end{array}  Buy to View Q7a Solve the linear system. \displaystyle \begin{array}{llllllll} & 2x + y =2\\ & x - \frac{1}{2}y = 4 \end{array}  Buy to View Q7b Solve the linear system. \displaystyle \begin{array}{llllllll} & x - 4y = -1\\ & -3x + 8y = - 2 \end{array}  Buy to View Q7c Solve the linear system. \displaystyle \begin{array}{llllllll} & x + y = 0.7\\ & 5x -4y = -1 \end{array}  Buy to View Q7d The art department at a school sold 323 tickets to an art show, for a total of$790. Students paid $2 for tickets, and non-students paid$3.50. The principal asked how many non-students attended the art show.

a) Write a system of two linear equations for this situation.

b) Solve the problem by graphing the system.

Suppose you are solving the system y = 2x + m and 3x -y = n, where m and `$n$ are integers. Could this system have solutions in all four quadrants? Justify your answer.