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May 23rd

May 23rd

# Solving Systems of Equations

 Standard 5.0: Students solve multi - step problems , including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. 14. Confident Unsure Solve 5 (2x + 5) = - (9 – x) Show work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 15. Confident Unsure Last week, Glenda earned \$84. She earned \$14 mowing lawns . She earned the rest of her money babysitting for \$7 per hour. Use the equation below to find the number of hours (h) Glenda spent babysitting. 84 = 7h + 14 a) 10 hours b) 14 hours c) 63 hours d) 70 hours Show work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 16. Confident Unsure Phillip, Rosie, and Angela are all friends. Angela is three years less than Rosie and Phillip is seven years older than three times Rosie’s age. Their combined age is 74 years, how old is Phillip? a) 14 years old b) 21 years old c) 70 years old d) 49 years old Show work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 17. Confident Unsure Solve: 6(x – 4) = 5x + 6 Step 1: 6x – 24 = 5x + 6 Step 2: - 1x – 24 = 6 Step 3: -1x = 30 Step 4: x = - 30 Which is the first INCORRECT step in the solution shown above? a) Step 1 b) Step 2 c) Step 3 d) Step 4 Show work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) Standard 6.0: Students graph a linear equation and compute the x- and y-intercepts. 18. Confident Unsure What are the x- and y- intercepts of the line defined by 2x – 3y = 12 a) x-int = 6, y-int = -4 b) x-int = -4, y-int = 6 c) x-int = 2, y-int = -3 d) x-int = 6, y-int = 4 Show your work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day 19. Confident Unsure 8.) Which is the graph of ? Explain your choice here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) Standard 7.0: Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear equations by using the point- slope formula . 20. Confident Unsure Which ordered pair lies on the line defined by ? Show your work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 21. Confident Unsure What is the equation of the line that has a slope of ½ and passes through the point (4, -10)? a) y = ½ x – 12 b) y = ½ x + 12 c) y = ½ x – 10 d) y = -10 (x + 4) Show your work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day) 22. Confident Unsure What is the equation of the line that passes through the points (4, 9) and (2, 5)? Show your work here… LEVEL (teacher use only) Correction/Reflection (do not fill in on test day)

Standard 9.0 Continuation: Deep thoughts…

Be low are three different systems of equations, after solving each of them, explain the process that you went through to solve each
problem and interpret what the graphical representation of the system would look like and why . Be specific and include details and

What method did you use to solve it?
Why did you choose these methods?
What will the graphs of these solutions look like?
What does this mean about solutions to systems of equations?

 System #1 System #2 System #3 x = 2y + 1 2x + y = 12 2x – y = 6 -4x + 2y = -12 x + y = -10 -x + -y = -5
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