Integrated 1
Chapter 6
Section 1 includes solving multi variable equations for one variable. Students use this concept through applied mathematics and science courses to isolate information with desired variable.
Section 1 includes solving multi variable equations for one variable. Students use this concept through applied mathematics and science courses to isolate information with desired variable.
Section 2 builds on solving systems of linear equations from 8th grade. Students refine solving systems, including applications, through graphing, substitution, and elimination.
Section 2 builds on solving systems of linear equations from 8th grade. Students refine solving systems, including applications, through graphing, substitution, and elimination.
Current Chapter Resources and Practice
Current Chapter Resources and Practice
Background Knowledge Resources
Background Knowledge Resources
Checkpoint 6A: Solving Single Variable Equations with Fractional Coefficients
Checkpoint 6A: Solving Single Variable Equations with Fractional Coefficients
Checkpoint 6B: Multiplying Binomials and the Distributive Property
Checkpoint 6B: Multiplying Binomials and the Distributive Property
You e-book has a checkpoint resource (you must have the e-book open to access the link and click on CP 6
Learning Outcomes for Chapter 6: Open your e-book to link directly to the problems
Learning Outcomes for Chapter 6: Open your e-book to link directly to the problems
Review topics expected to be mastered by the end of Chapter 6
- Master Checkpoint 6A: Solving linear equations, part 2 (fractional coefficients), as in problems 6-16(c), 6-26(b), 6-76(d), 6-111, and CL 6-148(e) and (f).
- Mastery of Checkpoint 6B: Multiplying Binomials and Solving Equations with Parentheses, as in problems 6-16(b), 6-26(a), 6-40, 6-76(a) and (c), 6-99, 6-106(a), 6-121, 6-138, and CL 6-148(b) and (c).
- Determining the multiplier in a geometric sequence from a graph,6-77, 6-98, and CL 6-152.
- Writing the equation of a geometric sequence recursive and explicit 6-63, 6-77, 6-98, 6-144, CL 6-152, CL 6-153.
Chapter 6 concepts
- Solve multi-variable equations for one of the variables, 6-7, 6-15, 6-51, 6-100, 6-127, 6-143 (b) ,(d), and CL 6-149.
- Solve simple systems, when one equation is given in y = mx + b form, and the other in standard ax + by = c form, 6-64, 6-84(b), 6-95(b), 6-107(a), 6-116(c), 6-134(a) and (c), 6-142, and CL 6-146(c).
- Solve simple systems of equations where both equations are given in standard form, with the coefficients of one variable either matching or opposite, as in problems 6-95(a), 6-107(b), 6-116(a), 6-134(b), and CL 6-146(b)
- Understand that the solution to a system of equations is the point that makes both equations true, 73, 136(b),150.
- Use graphing to estimate a solution, as in problems 6-27, 6-73, 6-136, and CL 6-150
- Write systems of equations from word problems,6-61, 6-74, 6-86, 6-117, 6-140, CL 6-147, and CL 6-151
- Identify systems with infinite solutions, as in problems and what it means in the graphs 85, 96, 129, 134(a).
- Identify systems with no solutions, as in problems and what in means in the graphs 107(c), 116(c), 129, 142(a).
- Elimination Method, where one/both equations need to be multiplied by a constant, 6-95(d) & 6-116(d).
- Write equations from a distance = rate Ă— time situation, as in problems 6-39, 6-88, and 6-97.
- Solve systems involving situations 6-33, 34, 35, 36, 37, 38, 44, 46