Chapter 5 Closer

Problem Overview:
- Complete problems individually; mark easy ones with a check and difficult ones with a star.
CL 5-127: Solve Equations
- a. Simplify: $3(2x-1)+12=4x-3$
- b. Solve: $3x + 24 = 2$
- c. Validate: $x = 3 = 3$
- d. Solve $4x(x-2)=(2x+1)(2x-3)$
CL 5-128: Simplify Expressions
- a. Simplify: $(-3x)^{2}$
- b. Simplify: $(3x)^{-2}$
- c. Simplify: $2(3x)^{2}$
- d. Simplify: $3x^{3}$
CL 5-129: Create Multiple Line Representations
- a. Line with slope 4 and y-intercept -6: $y = 4x - 6$
- b. Line with slope passing through (5,7): $y = mx + b$ (specific form to determine)
CL 5-130: Explicit Sequence Equations
- a. $(a<em>{1} = 17, a</em>{n+1} = a_{n} - 7)$
- b. $(t(1) = 3, t(n+1) = 5 imes t(n))$
CL 5-131: Graph Functions and Sequences
- a. Function: $f(x)=(x-2)^{2}$
- b. Sequence: $t(n) = 3n - 5$
CL 5-132: Solve Adult and Child Ticket Prices
- Tickets dilemma:
- Family with 2 adults and 3 children: $2a + 3c = 56.50$
- Family with 1 adult and 4 children: $a + 4c = 49.50$
CL 5-133: Self-Assessment
- Check confidence level on problems and identify topics for further study.
Key Solutions from Problems:
- Adult ticket price: $a = 15.50$
- Child ticket price: $c = 8.50$