3-74. For the following equations, solve for Be sure to check your answer, if possible. Show x. all work. a. 3x 1 = 2x) x + 7 = −x – b. −3x − (6 − c. Use a diagram of the Equation Mat or some other method to 3) = explain why −(x − + 3. −x 3-75. For each equation, a possible solution is given. Check to see if the given solution is correct. a. If 3x + 7 = 1, then does = x x − −4? b. If 4 = + 3, then does = 3? x −2x − −4x c. If + 5 + 5x 1 = 0, then does = 2? x −3x − d. If 1) = 4x 5 3x, then does = 3? x −(x − − − 3-76. For the rule = + 1, calculate the that complete the table below. y y-values −2x a. Graph your rule on a set of axes (ON A SEPARATE SHEET OF PAPER). Be sure to create a graph. If necessary, see the Math Notes box for this lesson to review complete what makes a graph complete. b. Describe your resulting graph. What does your graph look like? Simplify each expression below. 3-77. a. 4x + 7 + 3y (1 + 3y + 2x) b. 16x2 4x + 5 (16x2 8x) + 1 − − − −
3-74. For the following equations, solve for x. Be sure to check your answer, if possible. Show all work. a. 3x + 7 = −x – 1 b. −3x = x − (6 − 2x) c. Use a diagram of the Equation Mat or some other method to explain why −(x − 3) = −x + 3. 3-75. For each equation, a possible solution is given. Check to see if the given solution is correct. a. If 3x + 7 = x − 1, then does x = −4? b. If −2x − 4 = −4x + 3, then does x = 3? c. If −3x + 5 + 5x − 1 = 0, then does x = 2? d. If −(x − 1) = 4x − 5 − 3x, then does x = 3? 3-76. For the rule y = −2x + 1, calculate the y-values that complete the table below. a. Graph your rule on a set of axes (ON A SEPARATE SHEET OF PAPER). Be sure to create a complete graph. If necessary, see the Math Notes box for this lesson to review what makes a graph complete. b. Describe your resulting graph. What does your graph look like? 3-77. Simplify each expression below. a. 4x + 7 + 3y − (1 + 3y + 2x) b. 16x2 − 4x + 5 − (16x2 − 8x) + 1
3.2.1_Homework_Questions.docx