# Key to Standard Algebra and Standard Algebra-revised

American book Company, 1915

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Page 127 - What is the number? SOLUTION Let x = the digit in tens' place, and y = the digit in units' place. Then, 10 x + y = the number, and 10 y + x = the number with its digits reversed ; .'. lOx + y = 7(x + y), and 10 x + y - 27 = 10 y + x.
Page 330 - Plotting these points and drawing a smooth curve through them, we have the graph of y = ж2 — 8 x + 16, which touches the ж-axis at x = 4.
Page 513 - Let x = the larger number, and y = the smaller number. Then x + y = 12, since their sum is 12, (1) and x — y = G, since their difference is 6.
Page 337 - ... a circle whose center is at the origin and whose radius is a.
Page 332 - ... no point of the graph lies farther to the right or to the left of the origin than 5 units ; consequently, we substitute for x only values between and including — 5 and + 6.
Page 333 - Plotting these points and drawing. a smooth curve through them, we have the graph of the equation, as in Figure 4.
Page 332 - Plotting these twenty points and drawing a smooth curve through them, we have the graph of 9 x2 + 25 y'1 = 225, which is called an ellipse.
Page 478 - Let x = one number and y = the other number. Then, x + y = 7 And xy » 12 Solving by the method of symmetrical equations, Hence, the numbers are 3 and 4.
Page 492 - Let x = the first number. Then, x + 1 = the second number. and x +, 2 = the third number.
Page 124 - Find the numbers. Let x = the first number, and y = the second number . Then, x...