By Tony G. Williams
This publication can help ''turn at the light'' as each one work out is designed to have interaction scholars' exploration of algebra as they entire each one thought-provoking, skill-building job. every one exercise session is definitely reproducible and comprises a solution key or mini-lesson that demonstrates tips to remedy every one challenge. 14 useful educating assistance are integrated.
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Extra info for 100 Algebra Workouts
Directions: On your workout sheet, graph the solution to the following: 1. -3x + y < 2 2. -2x - 5y > 20 TLC10559 Copyright © Teaching & Learning Company, Carthage, IL 62321-0010 49 #41 Solution 1. The slope of the line y = Let’s see how well you did: 2 2 x - 7 is . Fact. 3 3 2 4. The y-intercept of the line y = 5 x + 1 is 1. Fact. ) 5. Two parallel lines have the same slopes. Fact. 2. The graph of y = 3 is a vertical line. Fiction. (The graph of y-equations are horizontal lines and 6. Perpendicular lines have negative reciprocal slopes.
Determine. It does not matter which variable Substitute “2y + 1” for “x” in the first problem represents the number of 2-point or 3-point bas- then solve for y. kets. 2(2y + 1) + 3y = 37 Let’s say that x represents the number of 2-point 4y + 2 + 3y = 37 baskets and y represents the number of 3-point 7y + 2 = 37 baskets made by Tony. 7y = 35 y = 5 (3-point baskets) We can write two equations based on the information given. ) We know from the third equation that x = z - 2. Let’s now substitute for x and then solve for z.
The slope of the equation y = x + 5 is 1, the coefficient of x. 2. T he y-intercept of the equation y - 7 = 1 x is 7. If you solve for y, the equation will be written in y-inter2 cept form: y = 1 x + 7. 2 3. The slope of the line parallel to the equation y = 2 + 8x is 8. Parallel lines have the exact same slopes. 3 In y-intercept form, we have y = 8x + 2 . 3 4. T he slope of the equation 14x - 2y = 8 is 7. To get the equation in y-intercept form, we need to subtract 14x from both sides, then divide both sides by -2, which would give us: y = 7x - 4.