Algebra 1
Review Chapter 7
Name __________________________
Is (1, 4) a solution to each system of equations?
1)
2x + 3y = 7
5y = 15
2)
y = 3x + 1
4)
y=x-3
y = -x - 1
4x = y
Solve each system by graphing. Then check your answer.
3)
y = 3x – 1
y = -x + 3
Solution ___________
Solution ___________
Check:
Check:
y = 3x - 1
y=x-3
y = -x + 3
y = -x - 1
5) Rewrite the equation in slope-intercept form. Graph the equation.
-4x + 2y = -2
Tell whether the system has No Solution or Infinitely Many Solutions.
6)
y = 5x + 6
2y = 10x + 8
7)
y = 2x + 4
-4 + y = 2x
Solve each system using substitution.
8)
y = 3x + 11
y = -2x + 1
9)
y=x–5
x + 3y = 1
8) _________________
9) ___________________
Solve each system by elimination.
10)
x + y = 10
x–y=2
11)
2x – 3y = 61
2x + y = -7
10) ________________
12)
2x – 3y = 5
x + 2y = -1
11) ________________
13)
12) ________________
-2x + 5y = 20
3x – 7y = -26
13) __________________
Solve using a system of equations.
14) 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.
soap______________
sponges _______________
15) A local band is planning to make a CD. It will cost $12,500 to record and produce a master copy, and an additional $2.50 to
make each sale copy If they plan to sell the final product for $7.50, how many disks must they sell to break even?
___________ CD’s
16) 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.
17)
y<
1
3
x 1
18)
19) Write the linear inequality shown in the graph.
4
3
b = ________________
2
1
shade ______________
-3 -2 -1
1
-1
-2
-3
19) ______________________________
 -x - 2
5
m = ________________
dash or solid
y
-4
-5
2
3
4
5
6
7
16) ___________
Solve each system by graphing.
20)
22)
y  4x  1
y  x  4
y  12 x  3
y
2
3
x4
24) Graph.
y = 2x – 5
y = -2x + 3
solution ________________
21)
y  3x  3
yx2
23)
x  1
y5