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31 Cards in this Set
- Front
- Back
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Consists of a horizontal number line and a vertical number line. |
Rectangular or Cartesian coordinate system |
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A horizontal number line. |
x-axis |
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A vertical number line. |
y-axis |
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The intersection of the axes at (0, 0) is the.. |
origin. |
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The axes divide the coordinate plane into four regions called.. |
quadrants. |
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Locating a point in the rectangular coordinate system that corresponds to a pair of real numbers is referred to as.. |
plotting or graphing the point. |
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A pair of numbers, such as (2, 4), is called an.. |
ordered pair. |
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The first number in an ordered pair is the.. |
x-coordinate. |
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The second number in an ordered pair is the.. |
y-coordinate. |
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A point that is on the line segment and equidistant from the end points. |
Midpoint
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Midpoint Formula |
([x1+x2]/2, [y1+y2]/2) |
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Distance Formula |
√[(x2-x1)^2 + (y2-y1)^2] |
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Find the midpoint and length of the line segment with endpoints (1, 7) and (5, 4). |
Midpoint = (3, 11/2) Length = 5 |
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What kind of variable is y in the equation, y = 2x + 3 ? |
Dependent Variable |
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What kind of variable is x in the linear equation, y = 2x + 3 ? |
Independent Variable |
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Because the graph of y = 2x + 3 is a line, the equation is a.. |
Linear Equation |
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It is the point where the line crosses the x-axis. |
x-intercept |
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It is the point where the line crosses the y-axis. |
y-intercept |
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Use the intercepts to graph the line 3x - 4y = 6. Page 149, example 7. |
Page 149, example 7. y-intercept: (0, -3/2) x-intercept: (2, 0) |
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The equation C = 0.50t + 8.95 gives the customer's cost in dollars for a pan pizza, where t is the number of toppings. a) Find the cost of a five-topping pizza. b) Find t if C = 14.45 and interpret your result. |
a) C = $11.45 b) The number of toppings on a $14.45 pizza is 11. |
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The formula L = 0.10n + 4.95 gives the monthly bill in dollars for AT&T's one-rate plan, where n is the number of minutes of long distance used during the month. a) Find n if the long distance charge is $23.45 b) Find L for 120 minutes |
a) n = 185 minutes b) L = $16.95 |
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x-intercept |
(x, 0) |
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y-intercept |
(0, y) |
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Graph the solution set to y = 2x + 3. Page 146, example 3. |
Page 146, example 3. |
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Graph y + 2x = 1. Plot at least 4 points. Page 147, example 4. |
Page 147, example 4. |
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Graph y = 2. Plot at least 4 points. Page 148, example 5. |
Page 148, example 5. |
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Graph x = 4. Plot at least 4 points. Page 149, example 6. |
Page 149, example 6. |
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When graphing linear equations, we always put the independent variable on the.. |
horizontal axis. |
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When graphing linear equations, we always put the dependent variable on the.. |
vertical axis. |
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Graphing a linear equation in an application The cost per week C (in dollars) of producing n pairs of shoes for the Reebop Shoe Company is given by the linear equation C = 2n + 8000. Graph the equation for n between 0 and 800 inclusive (0 ≤ n ≤ 800). Page 150, example 8. |
Page 150, example 8. |
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Writing a linear equation A store manager is ordering shirts at $20 each and jackets at $30 each. The total cost of the order must be $1200. Write an equation for the total cost and graph it. If she orders 15 shirts, then how many jackets can she order? Page 151, example 9. |
Page 151, example 9. |
