ALGEBRA 2 TUTORIAL PRACTICE PROBLEM SOLUTIONS


�T. Tell which point is a solution of 3X-Y>4.
a.(3,4) b.(3/4,0) c.(0,0) d.(4/3,0)

a. PLUG IN X AND Y INTO THE INEQUALITY.
3(3)-4=9-4
=5>4
POINT a IS A SOLUTION OF 3X-Y>4.

b. PLUG IN X AND Y INTO THE INEQUALITY.
3(3/4)-0=9/4<4
POINT b IS NOT A SOLUTION OF 3X-Y>4.

c. PLUG IN X AND Y INTOTHE INEQUALITY.
3(0)-0=0<4
POINT c IS NOT A SOLUTION OF 3X-Y>4.

d. PLUG IN X AND Y INTO THE INEQUALITY.
3(4/3)-0=4-0
��4
POINT d IS NOT A SOLUTION OF 3X-Y>4.
��REMEMBER THAT A>B AND A��B ARE DIFFERENT.
A>B MEANS��A IS GREATER THAN B.
A��B MEANS��A IS OR GREATER THAN B.

�U.Check whether the given ordered pairs are solutions of the inequality.
a.X��-5;(0,2),(-5,1)
PLUG IN Xs INTO THE INEQUALITY.
0>5
-5��-5
THE SECOND POINT GIVEN IS A SOLUTION OF THE INEQUALITY, BUT THE FIRST ONE IS NOT, SO YOU CANNOT SAY THAT THE PAIR IS A SOLUTION OF THE INEQUALITY.

b.2Y��7;(1,6),(0,4)
PLUG IN Y INTO THE INEQUALITY.
2(6)=12��7
2(4)=8��7
BOTH OF THE POINTS GIVEN ARE SOLUTIONS OF THE INEQUALITY. THE PAIR IS A SOLUTION OF THE INEQUALITY.