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Timed Test For
Number of solutions to a system of equations graphically
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Practice this topic instead
Sample Problem
$\begin{align} &y=-6x+8 \\\\ & 3x+y=-4 \end{align}$ **Graph the system of equations.** [[☃ interactive-graph 1]] **How many solutions does the system have?** [[☃ radio 2]]
y
=
−
6
x
+
8
3
x
+
y
=
−
4
\begin{aligned} &y=-6x+8 \\\\ & 3x+y=-4 \end{aligned}
y
=
−
6
x
+
8
3
x
+
y
=
−
4
Graph the system of equations.
Created with Raphaël
Created with Raphaël
1
\small{1}
1
2
\small{2}
2
3
\small{3}
3
4
\small{4}
4
5
\small{5}
5
6
\small{6}
6
7
\small{7}
7
8
\small{8}
8
9
\small{9}
9
-
2
\small{\llap{-}2}
-
2
-
3
\small{\llap{-}3}
-
3
-
4
\small{\llap{-}4}
-
4
-
5
\small{\llap{-}5}
-
5
-
6
\small{\llap{-}6}
-
6
-
7
\small{\llap{-}7}
-
7
-
8
\small{\llap{-}8}
-
8
-
9
\small{\llap{-}9}
-
9
1
\small{1}
1
2
\small{2}
2
3
\small{3}
3
4
\small{4}
4
5
\small{5}
5
6
\small{6}
6
7
\small{7}
7
8
\small{8}
8
9
\small{9}
9
-
2
\small{\llap{-}2}
-
2
-
3
\small{\llap{-}3}
-
3
-
4
\small{\llap{-}4}
-
4
-
5
\small{\llap{-}5}
-
5
-
6
\small{\llap{-}6}
-
6
-
7
\small{\llap{-}7}
-
7
-
8
\small{\llap{-}8}
-
8
-
9
\small{\llap{-}9}
-
9
y
y
y
x
x
x
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
How many solutions does the system have?
Choose 1 answer:
Choose 1 answer:
A
Exactly one solution
B
No solutions
C
Infinitely many solutions
What's your name?
Duration
30 seconds
60 seconds (1 minute)
120 seconds (2 minutes)
180 seconds (3 minutes)
300 seconds (5 minutes)