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Finals Review Checklist

Finals Review Checklist. Chapter 0 – Objectives Solve for a variable in one-variable equations ex: Solve -3(x+5) = 10 Solve for a variable in two-variable equations ex: Solve for y: 3x – 4y = 15 Simplify expressions using properties of exponents ex: Simplify (3x 2 y 3 ) 4

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Finals Review Checklist

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  1. Finals Review Checklist

  2. Chapter 0 – Objectives • Solve for a variable in one-variable equations • ex: Solve -3(x+5) = 10 • Solve for a variable in two-variable equations • ex: Solve for y: 3x – 4y = 15 • Simplify expressions using properties of exponents • ex: Simplify (3x2y3)4 • Evaluate using order of operations • ex: Evaluate -6(7.1) – 4(-8.1)2 + 33 • Adjust your window setting to best fit a function • ex: Zoom Out, Zoom Decimal, Window

  3. Chapter 1 – Objectives • Simplify expressions with two or more variables • ex: Simplify -3(x+y) – 2y2 + 6x + y • Evaluate using function notation • ex: Given f(x) = 3x – 10, find f(-1) • Determine whether a relation is a function • ex: Function? {(0,1)(2,1)(-1,3)(4,3)} • Determine the domain and range • ex: {(0,1)(2,1)(-1,3)(4,3)} • Write equations for real-world situations • ex: #8 on study guide

  4. Warm-up – Chapter 2 Solve the following a) 10x–5 > 3x+16 c) ∣x + 5∣ = 13 b) 4x+10 = 6x+8–2x+2 d) 2) What is -2x + 3y = 12 in slope-int. form? 3) Which is the equation for: a) y = -2x - 3 c) y = -3x – 1 b) y = -x – 5 d) y = ½x - 6

  5. Chapter 2 – Objectives • Solve linear inequalities • ex: Solve -3x – 4 < 8 • Solve proportion problems • ex: Solve • Determine when special solutions arise • ex: No solutions, infinitely many solutions • Solve absolute value problems • ex: Solve ∣x + 3∣ = 12 • Write linear equations in slope-intercept form • ex: -2x + 5y = 15

  6. Warm-up – Chapter 3 Solve the following a) b) 2) Find the max value for the function C = 5x + 7y for the region shown. 3) Graph the following:

  7. Chapter 3 – Objectives • Solve a system of linear equations • ex: Solve • Solve a system of linear inequalities • ex: Solve • Determine when special solutions arise • ex: No solutions, infinitely many solutions • Solve max and min problems • ex: Maximize C = 3x + 4y given constraints • Write the constraints of a word problem • ex: #32 in study guide

  8. Warm-up – Chapter 12 • Evaluate: • 2) Find the 7th term of the sequence • t1= -2 and tn = 2tn-1 – 5 • 3) Find S12 for each of the following • series: • a) -3–5–7–9… b) 2–4+8–16… • 4) Find four terms between the following arithmetic sequence: 16 and 44

  9. Chapter 12 – Objectives • Evaluate series written in sigma notation • ex: Evaluate • Find the sum of a geometric or arithmetic series • ex: Find S15 for -1+4+9+14+… • Identify the common difference or ratio • ex: -2,-4,-8,-16,… or -5, 2, 9, 16,… • Find the nth term of a sequence • ex: Find t20 for tn = -2n + 17 • Generate terms from explicit or recursive forms • ex: Find the first five terms of:

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