Ch 5 Review

Math Bingo
The review Game
Required Materials
•
•
•
•
•
Piece of loose-leaf paper
3 Graphs
Ruler
Pen and pencil
Brain
Instructions
• On the top of the paper write the date and
in big letters the word “BINGO”.
• Using the numbers 1-5 make 5 rows of 5
numbers below “BINGO” so that no
number appears more than once in a
column.
• With a pen, mark one of the “squares” as
“FREE”
Sample Card
B
I
N
G
O
1
2
3
4
5
2
3
4
5
1
3
free
5
1
2
4
5
1
2
3
5
1
2
3
4
Directions:
1) Is (2 , 1) a point on the linear graph of
of –2x + 5y = 1?
Answer:
1) Is (2 , 1) a point on the linear graph of
of –2x + 5y = 1?
?
–2x + 5y = 1
–2(2) + 5(1) = 1
-4 + 5 = 1
1 = 1
Yes (2,1) is a point on the graph
Directions:
2) Is (2 , 1) a solution of –2x + 5y > 1?
Answer:
2) Is (2 , 1) a solution of –2x + 5y > 1?
–2x + 5y > 1
–2(2) + 5(1) > 1
-4 + 5 > 1
1 > 1
no (2,1) is not a solution
Directions:
3) Is (1 , 2) a solution to the linear
system of inequalities below?
3
5
y ≥ x+
4
4
4 x + 3 y < 10
Answer:
3) Is (1 , 2) a solution to the linear
system of inequalities below?
3
5
y ≥ x+
4
4
3
5
2 ≥ (1) +
4
4
2≥2
4 x + 3 y < 10
4(1) + 3(2) < 10
NO!
10 < 10
Directions:
Write a system of linear inequalities
that defines the shaded region.
4)
Answer:
Write a system of linear inequalities
that defines the shaded region.
4)
y > ½x + 2
y ≤ -1x + 5
Directions: Graph the linear inequality
below on a coordinate plane.
5) y ≤ -3
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
1 2
-1
-2
-3
-4
-5
-6
3 4
5 6
Answer: Graph the linear inequality below
on a coordinate plane.
5) y ≤ -3
Directions: Graph the linear inequality
below on a coordinate plane.
6) 2x + y > 3
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
1 2 3 4 5 6
Answer: Graph the linear inequality below
on a coordinate plane.
6) 2x + y > 3
y > -2x + 3
Directions: Graph the solution of the
system of inequalities below.
7) 2x + y > 3
6
5
4
3
2
3x – y ≥ 2
1
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
1 2 3 4 5 6
Answer: Graph the solution of the system of
inequalities below.
7) 2x + y > 3
-2x
-2x
y > -2x + 3
SS
3x – y ≥ 2
-3x
-3x
-y ≥ -3x +2
y ≤ 3x - 2
Directions: Solve this system of equations
by graphing.
8) y = x + 4
6
5
4
3
2
1
y = -2x + 1
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
1 2 3 4 5 6
Answer: Solve this system of equations
by graphing.
8) y = x + 4
y = -2x + 1
(-1 , 3)
Directions: Use the method of your choice
to solve this system of equations.
9) y = x + 1
-4x + y = – 2
Answer: Use the method of your choice to
solve this system of equations.
9)y=x+1
-4x + y = - 2
-4x + (x + 1) = -2
y=1+1
-4x + x + 1 = -2
y=2
-3x + 1 = -2
-1
-1
-3x = -3
(1,2)
x =1
Directions: Use the method of your choice
to solve this system of equations.
10) 3x - 2y = 3
6y = 9x - 12
Directions: Use the method of your choice
to solve this system of equations.
10)
3x – 2y = 3
3(3x – 2y) = (3)3
9x – 6y = 9
9x – 6y = 9
(+) -9x + 6y = -12
0 = -3
6y = 9x – 12
-9x
-9x
-9x + 6y = -12
no solution
The End!