# Solving Systems of Equations

 Standard 8.0: Students understand the concepts of parallel lines and perpendicular lines and how their slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point. 1. Confident Unsure Which of the following is NOT parallel to the line Show your work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 2. Confident Unsure Write an equation for a line perpendicular to and through the point (0, 2). Show your work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) Standard 9.0: Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. 3. Confident Unsure What is the solution to the system of equations below? Show your work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 4. Confident Unsure Solve the system below 3x + 5y = 2 6x + 4y = 2 Show your work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 5. Confident Unsure Which graph below represents the system Explain answer here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 6. Confident Unsure Is the point (-4, 15) a solution to the system below a) yes b) No Show work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 7. Confident Unsure Solve the system below x + y = 6 x + 4y = 3 Show work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 8. Confident Unsure Interpret what the graph of the system below will look like y = 4x + 1 -8x + 2y = 16 a) they are the same line b) the lines will be parallel c) the lines will intersect in one point Show work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 9. Confident Unsure How many solutions can a system of equations have? LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) Standard 15.0: Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems 10. Confident Unsure A bus leaves East LA traveling west at 60 mph. One hour later a car leaves East LA traveling the same direction on the same road at 65mph. How far from East LA will the faster car pass the slower car? Show your work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 11. Confident Unsure Marcy has a total of 100 coins. If the total value of the coins is \$14.05 and she has only dimes and quarters, how many quarters does she have? a) 27 b) 40 c) 56 d) 73 Show your work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) Standard 4.0: Students simplify expressions before solving linear equations and inequalities in one variable , such as 3(2x – 5) + 4(x – 2) = 12. 12. Confident Unsure Which equation is equivalent to 4x + 3(2x – 1) = 10 – 5x + 8 a) 6x – 1 = 18 – 5x b) 6x – 3 = 2 – 5x c) 10x – 3 = 18 – 5x d) 10x – 1 = 18 – 5x Show work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 13. Confident Unsure Which equation is equivalent to 3(4 – 3x) = 5 – 2(1 – 3x) a) No solution b) 6x = 7 c) -18x = 15 d) 9 = 15x Show work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day)
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