Systems of linear equations and inequalities

In the picture, the shaded region corresponds to the set of points that is the solution to one of the given inequalities. Which of the inequalities is it?

\begin{aligned} y & \leq x \\ y & \geq - x \end{aligned}

\begin{aligned} y & \leq - x \\ y & \geq x \end{aligned}

\begin{aligned} y & \leq x \\ y & \leq - x \end{aligned}

\begin{aligned} y & \geq x \\ y & \geq - x \end{aligned}

2000006803

Level:

In the picture, the shaded region corresponds to the set of points that is the solution to one of the given inequalities. Which of the inequality is it?

\begin{aligned} y & \leq x + 2 \\ y & \geq x - 2 \end{aligned}

\begin{aligned} y & \leq x - 2 \\ y & \geq x + 2 \end{aligned}

\begin{aligned} y & \leq 2 x + 2 \\ y & \geq 2 x - 2 \end{aligned}

\begin{aligned} y & \leq 2 x - 2 \\ y & \geq 2 x + 2 \end{aligned}

2000006802

Level:

In the picture, the shaded region corresponds to the set of points that is the solution to one of the given inequalities. Which of the inequality is it?

y \leq - 2 x

y \geq - 2 x

y \leq - \frac{x}{2}

y \geq - \frac{x}{2}

2000006801

Level:

In the picture, the shaded region corresponds to the set of points that is the solution to one of the given inequalities. Which of the inequalities is it?

y \geq x + 1

y \geq x - 1

y \leq x + 1

y \leq x - 1

2000004005

Level:

Solve the following system and write the solution as the ordered pair

[x; y]

\begin{aligned} x + 2 y & = 11 \\ x - 2 y & = 3 \end{aligned}

[7; 2]

[- 7; 2]

[7; - 2]

[- 7; - 2]

2000004006

Level:

Solve the following system and write the solution as the ordered pair

[x; y]

\begin{aligned} 3 x - y & = 10 \\ 2 x + y & = 5 \end{aligned}

[3; - 1]

[- 3; 1]

[- 1; 3]

[1; - 3]

2000004004

Level:

Identify which of the following systems of equations has no solution.

\begin{aligned} y & = 10 - 2 x \\ y & = 5 - 2 x \end{aligned}

\begin{aligned} y & = 10 - 2 x \\ 2 y & = 20 - 4 x \end{aligned}

\begin{aligned} y & = 10 - 2 x \\ - y & = 5 - 2 x \end{aligned}

\begin{aligned} y & = 10 - 2 x \\ 3 y & = 30 - 6 x \end{aligned}

Systems of linear equations and inequalities

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