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 equationsex: Solve for y: 3x – 4y = 15

• Simplify expressions using properties of exponents

ex: Simplify (3x2y3)4

• Evaluate using order of operationsex: Evaluate -6(7.1) – 4(-8.1)2 + 33

• Adjust your window setting to best fit a functionex: Zoom Out, Zoom Decimal, Window

Chapter 1 – Objectives• Simplify expressions with two or more variables

ex: Simplify -3(x+y) – 2y2 + 6x + y

• Evaluate using function notationex: Given f(x) = 3x – 10, find f(-1)

• Determine whether a relation is a functionex: Function? {(0,1)(2,1)(-1,3)(4,3)}

• Determine the domain and rangeex: {(0,1)(2,1)(-1,3)(4,3)}

• Write equations for real-world situationsex: #8 on study guide

Warm-up – Chapter 21) 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

x 2 3 4

y -7 -10 -13

Chapter 2 – Objectives• Solve linear inequalities

ex: Solve -3x – 4 < 8

• Solve proportion problems

ex: Solve

• Determine when special solutions ariseex: No solutions, infinitely many

solutions

• Solve absolute value problemsex: Solve ∣x + 3∣ = 12

• Write linear equations in slope-intercept formex: -2x + 5y = 15

Warm-up – Chapter 31) Solve the following

a) b)

2) Find the max value for the function C = 5x + 7y for the region shown.

3) Graph the following:

Chapter 3 – Objectives• Solve a system of linear equations

ex: Solve

• Solve a system of linear inequalities

ex: Solve

• Determine when special solutions ariseex: No solutions, infinitely many

solutions

• Solve max and min problemsex: Maximize C = 3x + 4y given

constraints

• Write the constraints of a word problemex: #32 in study guide

Warm-up – Chapter 12

1) 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

Chapter 12 – Objectives• Evaluate series written in sigma notation

ex: Evaluate

• Find the sum of a geometric or arithmetic seriesex: Find S15 for -1+4+9+14+…

• Identify the common difference or ratioex: -2,-4,-8,-16,… or -5, 2, 9, 16,…

• Find the nth term of a sequenceex: Find t20 for tn = -2n + 17

• Generate terms from explicit or recursive formsex: Find the first five terms of: