Linear Equations and Inequalities

Linear Equations

100

7/2y -3 =-4/3y +5/6

y=23/29

200

Solve for w

2(w-1)-3w=3(w-6)

w=4

300

3(x+2) +x= 4(x-1) +10

x= All real numbers

400

A total of 438 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Adult tickets= 146 

500

Bill will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $55.98 and costs an additional $.15 per mile driven. The second plan has an initial fee of $63.98 and costs an additional $.10 per mile driven. How many miles would Bill need to drive for the two plans to cost the same?

  

x=160 miles driven

Inequalities

100

Graph the inequality below on the number line

x <= 2

Interval Notation: (-infity,2]

200

Write an inequality for the graph shown below.

Use x for your variable.

(powerpoint)

300

Graph the set {-7<x<3} on the number line.

Then, write the set using interval notation.

Interval Notation (-7,3)

400

Solve the inequality for u.

15+4u<-1

u<-4

500

-3(y+5)+27>3(4-y)

12>12? False 

No solution.