NAME
Date
Period
Study Guide for 7.2-7.5 Test
t./
'tr"€-*"{
-
Solving Linear lnequalities
Use substitution to tell whether the ordered pair is a solution of the
given inequality.
1. (3,4); y>x+2
2.(4,2);y<2x-3
3. (2, -1); y < -x
a-ia,(+) _g
(-,)
4)3+a
'l>5
AJO
N*+&soW'ont
a<&< I
*z 8-z
a-! 5
Y-s.,
Ls a
No,,
Nol L
sobdt'ott
sot*+1,n,
Rewrite each linear inequality in slope-intercept form. Then graph the
solutions in the coordinate plane.
4.
y-x<3
*Y
5.6x+2y>-2
-bY
rV
'w
3"v >-lcx+a
3*x13
6.
4taA
y) -ex
t
Trey is buying peach and blueberry yogurt cups. He will buy at most 8 cups of ybgt1. Let x
be the number of peach yogurt cups and y be the number of blueberry yogurt cups he buys.
a. Write an inequality to describe the situation.
AB
X+Y
I
-
b. Graph the solutions.
c. Give two possible combinations of peach
and blueberry yogurt that Trey can choose.
5puil^? Z bbr-\"ffn4
Write an inequality to represent each graph.
/) X-*
g
4
1 4x+4
I
utL-;x
Name
Date
Class
Solving Sysfe ms of Linear lnequalities
Tell whether the ordered pair is a solution of the given system.
10. (4,5);
51 *+e
;aa
J-
11. (1, 3);
{fr:::?
sl1-2
g2 a. /
{rr:'*r*, Yj
-.
solut{*1
Q. (2,3);
Graph the system of linear inequalities. a. Give two ordered pairs
that are solutions. b. Give two ordered pairs that are not solutions.
13
14.
{f,=:;r'
{v.2x+4
LY ' x -1
u
3 z- S(e):a ZZ 'a
Yes
3< vo'7
7>ALt) a1l+
3Lz No
Na
y€s
{fr::;
-
1s.
3L7
'/
{v ' -x
Lyr-x+3
v
-.4
a. ('e
-5
-L+
I)
o (0,-t) (a,o)
n. (.4,a.) (0,+)
16. Lou is buying macaroni salad and potato salad for a picnic.
Macaroni salad costs $4 per pound and potato salad costs
$2 per pound. Lou would like to buy at least 6 pounds of
salads and wants to spend no more than $20.
a. Write a system of linear inequalities.
Let x - pounds of macaroni salad
Let y = pounds of potato salad
X)o
/>o
x+y Zt,
4x +ay 3ao
b. Graph the solutions of the system.
c. Describe all the possible combinations of pounds of salads that Lou could buy.
AnY poin+ (Co*bind1'6y1
*tna orAcd
Da,
rs
) YZpTas6*c-! b.r
"; *a.iUt.-
raaizrr-,
ofd*Eatd
salal.
17. Review 7.4 & 7.5 Worksheets (for maximums/minimums).
@ Houghton
Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra