By Tony G. Williams
This booklet might help ''turn at the light'' as every one work out is designed to interact scholars' exploration of algebra as they entire each one thought-provoking, skill-building task. each one work out is well reproducible and contains a solution key or mini-lesson that demonstrates the way to remedy every one challenge. 14 useful instructing assistance are incorporated.
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Extra info for 100 Algebra Workouts
5 4 4. 0 8 Note: For problem #3, although the choice of points will vary, the graph of the equation should be the same. The answers are: 4 1 or 2 5. or 4 or 0; h orizontal lines have a slope of 0. ) Observe that lines increasing from left to right have positive slopes and lines decreasing from left to right have negative slopes. TLC10559 Copyright © Teaching & Learning Company, Carthage, IL 62321-0010 Unit 4 Linear Equations Workout “m” Is for Slope #37 The variable “m” is often used to represent the slope of a line.
How cool is that? TLC10559 Copyright © Teaching & Learning Company, Carthage, IL 62321-0010 55 #47 Solution a. a. ” 3(2y) - 5y = -5 6y - 5y = -5 y = -5 b. x - 2y = 1 3y + 5x = 18 First, we need to solve for one of the variables in either equation. It’s probably easier to solve for x in the first equation, giving us x = 2y + 1. ubstitute (2y + 1) for x in the second equation, then S solve. y substituting -5 for “y” in either equation, then solvB ing for x, we determine that x = -10. x = 2y; x = 2(-5); x = -10 Solution: (-10, -5) b.
How old are Keyshawn and Opal? Use the graphing method to solve this system of equation. Use “x” (Opal’s age) and “y” (Keyshawn’s age) to represent their ages, and write two equations. Find the slopes and y-intercepts of each equation then graph them. The point of intersection gives their ages. How cool is that? TLC10559 Copyright © Teaching & Learning Company, Carthage, IL 62321-0010 55 #47 Solution a. a. ” 3(2y) - 5y = -5 6y - 5y = -5 y = -5 b. x - 2y = 1 3y + 5x = 18 First, we need to solve for one of the variables in either equation.