100 points:

1. what is the solution to the system of equations?

3x- 6y= -12
x - 2y= 10

2. use the linear combination method to solve the system of equations. explain each step of your solution

3x - 8y= 7
x + 2y= -7

3. mr. sanchez’s class sold fruit ples for $1.55 each and mr. kelly’s class sold bottles of fruit juice for $1.40 each. together, the classes sold 60 items and earned $88.20 for their school

(a) write and solve a system of equations that model the problem. show all your work

(b) which class earned more money?

(c) how much more money did that class earn?

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel