Translate each of the following problems into a system of equations. Put your answers into this form:
ax ± by = c where a,b and c are numbers.
Question 1
1.
The difference between two numbers is 11. Let x represent the larger number and y the smaller number
Question 2
2.
Twice the smaller number plus three times the larger number is 123. Let x represent the larger number and y the smaller number
Question 3
3.
The sum of two numbers is -42. Let x represent the first number and y the second number
Question 4
4.
The first number minus the second number is 52. Let x represent the first number and y the second number
Paint Town sold 45 paintbrushes, one kind at $8.50 each and another at $9.75 each. In all, $398.75 was taken in for the brushes. How many of each kind were sold? Let x represent how many of the $8.50 brushes were sold and y represent how many $9.75 brushes were sold.
Question 5
5.
The equation for the number of brushes sold is :
Question 6
6.
The equation comparing the price of each brush to the total amount of money taken in is (don't include $ sign):
Two angles are supplementary (their sum = 180\degree). One angle (x) is 3\degree less than twice the other (y).
Question 7
7.
Write an equation that shows they are supplementary. Put it in the proper form with the form ax +by = c
Question 8
8.
Write an equation that shows their angle measure relationship. Be sure to put into required form