### Algebra Questionbook - Equations    © '01, A. Azzolino

 equ1. Solve each completely showing pencil and paper work. a.) 4x = -12b.) 4 + x = -12 c.) x - 4 = -12 d.) x/4 = -12

 equ2. Solve each completely showing pencil and paper work. a.) 5x + 3 = -3x + 5 b.) 8x - 6 + 2x = 8x - 3 c.) 4x - 5x + 3(2x -1) + 1 = 0d.) 8x - 6 = 7x - 6

 equ2a. Solve each completely showing pencil and paper work. a.) -.4x = -12b.) -4 - x = -12 c.) 3x - (2x + 4) = -12 d.) 3x/4 = -12

 equ3. Solve each completely showing pencil and paper work. a.) 3(x + 1) - 2x = -1 b.) 3(x + 1) -2x = 3 + x c.) 3(x + 1) - 2x = 4 + x

 equ3a. Solve each completely showing pencil and paper work. a.) 2x + 3(x- 6) = 4(x+1)b.) -4 + 3x = -12 + 5x c.) 2x - 4 = 2(x-2) + 4 d.) -2x/3 + 4/5= 1/4

Bright & Shiny. In order, connect the dot from one answer
to the dot for the next answer. Solve each equation. Show work for full credit.
1.  3x + 5 = 3x -1
2.  .5x +.5x +.5x +.5x = 4
3.  3x + 4 = 2
4.  4x - 1= 5x + 3
5.  4x + 2( x - 1) = 3(2x + 3) - 11
6.  4x + 7 = 2(x + 3) +2x - 1

 equ4. List, based on the equations in question equ1. - equ3. & Bright & Shiny, the kinds of solutions which are possible when solving linear equations. Explain the reason for each solution. [Hint: What does it mean to SOLVE an equation?]

 equ5. Write the "semiequation" and then the equation, and then the work necessary to solve each. a.) The sum of 3 and 5 times a number is the same as double the sum of the number and 1. b.) There are two consecutive even integers such that the sum of the smaller and triple the larger is 86. Find these integers.

 equ6. Complete: The only difference between solving an equation and an inequality is ..."

 equ7. The interval notations [a,b], [a,b), (a,b), and (a,b] each have different meaning because of the meaning of the (, ), [, or ] which indicate the inclusion or exclusion of the endpoints of the interval. Use the endpoints 2 and 6. Write notes in words and with a number line to illustrate each of the four intervals 1st: State interval using the interval notation. 2nd: Draw a number line indicating the interval. 3rd: Describe the interval in English.

 equ8. Write the "semiequation" and then the equation, and then the work necessary to solve the problem.     What grade is needed on the last of 4 tests to earn a grade of 80 or better if a student has grades of 90, 65, and 89?