Algebra I- Unit 6: Solving Systems of Equations
Name:________________________
Date: ________________________
Unit 6 Test Review
Solve by graphing
1)
y  4x  3
y  x  2
m  ______ b  ______
m  ______ b  ______
y  3x  4
2)
1
y   x6
3
Solution:_________________
Solution:_________________
Solve by substitution
3)
y   3x  7
2 x  4 y  0
m  ______ b  ______
m  ______ b  ______
4)
x  3 y
2x  y  6
Solve by elimination
5)
16 x  10 y  10
8 x  6 y  6
6)
4 x  2 y  12
4 x  8 y  24
Is the ordered pair a solution? You must show work to get credit.
7)
4x  y  8
5 x  2 y  3
(1, 4)
8)
3 x  y  7
2 x  4 y  0
(2, -11)
Graph the system of linear inequalities.
9)
y  3 x  5
y  3x  4
m  ______ b  ______
m  ______ b  ______
y  2 x  3
3
10) y  x  6
4
m  ______ b  ______
m  ______ b  ______
11) Coldstone is having a sale on both hot fudge sundaes and milk shakes. An order which
comes to $14.43 is for four sundaes and three shakes, while a second order for two sundaes
and three shakes totals $10.05. How much does each item cost?
12) The sum of two numbers is 64 and their difference is difference is 28. Find the numbers.