Grade 8 Algebra: Solving Systems by Elimination

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Level 1

Add or subtract directly

1. $(6, 4)$
2. $(6, 2)$
3. $(4, 3)$
4. $(1, 3)$
5. $(4, 2)$
6. $(3, 2)$
7. $(1, 3)$
8. $(3, 3)$

Name: ______________________Date: ____________Score: ____ / 8

Multiply one equation

1. Solve by elimination:
$\begin{cases} x + 2y = 5 \\ 3x - y = 8 \end{cases}$
2. Solve by elimination:
$\begin{cases} 2x + y = 7 \\ x + 3y = 11 \end{cases}$
3. Solve by elimination:
$\begin{cases} 3x + 2y = 1 \\ x - y = -3 \end{cases}$
4. Solve by elimination:
$\begin{cases} 4x + 3y = 10 \\ 2x - y = 0 \end{cases}$
5. Solve by elimination:
$\begin{cases} x - 4y = -5 \\ 2x + y = 8 \end{cases}$
6. Solve by elimination:
$\begin{cases} 5x + 2y = 3 \\ x + y = 0 \end{cases}$
7. Solve by elimination:
$\begin{cases} 3x - 2y = 11 \\ x + 4y = -1 \end{cases}$
8. Solve by elimination:
$\begin{cases} 2x - 3y = -8 \\ x + y = 1 \end{cases}$

1. $(3, 1)$
2. $(2, 3)$
3. $(-1, 2)$
4. $(1, 2)$
5. $(3, 2)$
6. $(1, -1)$
7. $(3, -1)$
8. $(-1, 2)$

Name: ______________________Date: ____________Score: ____ / 8

Multiply both; special cases

1. Solve by elimination:
$\begin{cases} 2x + 3y = 12 \\ 3x + 2y = 13 \end{cases}$
2. Solve by elimination:
$\begin{cases} 3x + 4y = -1 \\ 2x - 3y = -12 \end{cases}$
3. Solve by elimination:
$\begin{cases} 5x - 2y = 4 \\ 3x + 5y = 21 \end{cases}$
4. Solve by elimination:
$\begin{cases} 4x + 3y = 2 \\ 6x - 5y = 22 \end{cases}$
5. Solve by elimination:
$\begin{cases} 2x + 4y = 6 \\ x + 2y = 5 \end{cases}$
6. Solve by elimination:
$\begin{cases} 3x - 6y = 9 \\ x - 2y = 3 \end{cases}$
7. Solve by elimination:
$\begin{cases} 7x + 2y = -1 \\ 3x - 4y = 19 \end{cases}$
8. Solve by elimination:
$\begin{cases} \tfrac{1}{2}x + y = 4 \\ 2x - 3y = 2 \end{cases}$