Math
100

If 4(x + y) = 3(x - y), what is the absolute value of x/7? 

7

200

How many solutions does the following equation have? 

-7(12x + 9) = 21(-3 - 4x) 

Infinitely many

300

In the xy-plane, points (-2, 0) and (0, 6) lie on line M. if line N is parallel to line M and passes through points (0, -12) and (a, 0), what is the value of a?

4

400

A small business is planning to cater a Spring lunch for all 57 employees. If the maximum budget for food is $500, which includes an 8% sales tax, what is the possible price per employee, before sales tax, the business could pay based on the budget

$8.12

500

In the xy-plane, line M passes through the origin and is perpendicular to the line 3y + 4x = k, where k is a constant. If the two lines intersect at a point (a, 2a + 1), what is the value of a? 

-4/5
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