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Pre-Algebra – Mid-Unit Quiz Stations Name: ____________________ Review This will NOT be given to you on the quiz. Rate of Change / Slope change in the output (y) ∆Output Rate of Change = Slope = = = change in the input (x) Linear -Constant Rate of Change Constant Slope Not Linear -NO constant rate of change -NO constant slope ∆Input Function One input ONLY one output Not a Function One input more than one output Station 1 Determine if the following table, graphs, and or mappings represents a function or not. Remember, to be a function: ONE INPUT leads to ONLY ONE output Input X -4 -1 0 2 -1 3 Output Y 10 5 6 7 -4 10 Function / Not a Function Function / Not a Function Function / Not a Function Function / Not a Function Explain: Explain: Explain: Explain: Station 2 Decide if the following tables, graphs, situations are linear or not. Explain. ∆Output To be linear, the rate of change = is ALWAYS the SAME ∆Input Input X -2 -1 0 1 2 Output Y 4 9 14 19 24 Bill has $20 and spends $2 each day. Linear / Nonlinear Linear / Nonlinear Linear / Nonlinear Explain Explain: Explain: Station 3 Find the y-intercept of the following graphs/equations. Which one is higher? (for equations, put 0 in for x and find y. = −5 + 3 Y-intercept: ( , ) Y-intercept: ( Which one is higher? Station 4 ) Y-intercept: ( , ) Y-intercept: ( Which one is higher? - Find the slope from the tables and graphs. Graph 1 Table 1 Input X -4 -2 0 2 4 6 , y = 2 + 5 + 6 Output Y -2 4 10 16 22 28 , Graph 2 Table 2 Input X 0 1 2 3 4 5 Output Y 0 4 8 12 16 20 Slope: Slope: Y-intercept: Proportional? Explain. Slope: Slope: Proportional? Explain. Station 5 Find the slope and y-intercept of the graphs below. Find the simplest slope as a ratio and show that rise and run to find all the other points on the graph. ∫ Slope: Slope: Slope: Y – Intercept: Y – intercept: Y – intercept: ) Station 6 Use the given point and slope to find all other missing points in the table or graph. SHOW in the table or the graph how the slope shows up. Input X 0 Slope = 4 Input X -3 Output Y -5 slope as a rate: Slope = Y – intercept: Slope = -2 or Output Y 2 2 3 Y – intercept: Station 7 1) Given the following situation, find the start value and the rate of change. A) Bill currently has 58 dollars. He earns 5 dollars (d) every week (w). Start Value: (Y-intercept) Rate of Change: (Slope) ______________ depends on ____________ (Output) (Input) B) It is currently 12 degrees. The temperature (t) decreases 2 degrees per hour (h). Start Value: (Y-intercept) Rate of Change: (Slope) ______________ depends on ____________ (Output) (Input) 2) Which situation has a faster rate of change? A) Montel has driven 100 miles and drives at a rate of 120 miles every 2 hours. Slope as a rate: Simplest Slope: B) Seth has driven 150 miles and drives at a rate of 150 miles every 3 hours. Slope as a rate: Simplest Slope: Which situation has the higher slope? Explain Station 8 Decide if the table A are table B are linear or not. Table A Table B Input X -4 -2 0 2 4 6 Output Y -8 -4 0 4 8 12 Linear/ Non Linear Explain: Proportional OR Not Explain: Find the slope of tables C and D. Output Y 10 16 23 31 39 49 Input X -2 -1 0 1 2 3 Linear/ Non Linear Explain: Slope: Input X -3 0 3 6 9 12 Y – intercept: ( , ) Output Y 8 11 14 17 20 23 Proportional OR Not Explain: Input X -4 0 4 8 12 16 Output Y -3 0 3 6 9 11 Slope: Y-intercept: ( , )