Algebra 1
Review Chapter 7 Part b
Name _________________________________
1) Claire bought three bars of soap and five sponges for $2.31. Steve bought five bars of soap and three sponges for $3.05. Find
the cost of each item.
X = ___________________
Y = ___________________
soap______________
sponges _______________
2) Your family starts a bed-and-breakfast in your home. You spend $500 fixing up a room to rent. Your cost for food and
utilities is $10 per night. Your family charges$60 per night to rent the room. Find the number of nights you need to rent the
room to break even.
Cost Equation: ______________________________
Profit Equation: _____________________________
3) Which point is not a solution of y < 3x - 1?
A. (2, -4)
B. (5, 7)
___________
C. (0, -1)
D. (-2, -9)
Graph each linear inequality.
4)
y<
1
3
x 1
5)
y
 -x - 2
6) Write the linear inequality shown in the graph.
5
m = ________________
4
3
b = ________________
2
shade ______________
dash or solid
1
-3 -2 -1
1
2
3
4
5
6
7
-1
6) ______________________________
-2
-3
-4
-5
Solve each system by graphing
7)
9)
y  4x  1
y  x  4
Is (-3, 1) a solution? _______
y  12 x  3
y
1
3
x4
Is 3, -4 a solution? _______
8)
y  3x  3
yx2
10)
x  1
y5
Is (0, 0) a solution? _______
Is (-3, 0) a solution? _______
Multiple Choice. Circle the equation that matches the graph.
12)
A)
y  12 x  3
B)
y  12 x  3
C)
y  12 x  3
D)
y  12 x  3
A)
y4
B)
y4
C)
x4
D)
x4
13)