| What to create | Quiz |
| Which subject | Mathematics |
| What age group | Year or Grade 11 |
| What topic | Simultaneous equations and inequalities |
| Question types | Close-ended |
| Number of questions | 10 |
| Number of answers | 4 |
| Correct answers | Exactly 1 |
| Show correct answers | |
| Use images (descriptions) | |
| Any other preferences |
For each question, choose the correct answer (only one answer is correct).
Solve the following simultaneous equations for ( x ) and ( y ):
[
2x + 3y = 12 \
4x - 5y = -2
]
A. ( (2, 2) )
B. ( (3, 0) )
C. ( (1, 4) )
D. ( (0, 4) )
Which of the following is the solution set for the inequality ( 3x - 4 > 2x + 1 )?
A. ( x > 5 )
B. ( x < -5 )
C. ( x > 5, x \in \mathbb{R} )
D. ( x < 5 )
Given the equations ( y = 2x + 1 ) and ( y = -x + 6 ), what is the point of intersection?
A. ( (1, 3) )
B. ( (2, 5) )
C. ( (3, 7) )
D. ( (4, 9) )
If ( x + 2y = 10 ) and ( x - y = 1 ), what are the values of ( x ) and ( y )?
A. ( (3, 4) )
B. ( (4, 3) )
C. ( (5, 2) )
D. ( (6, 2) )
Solve the system of inequalities:
[
y \leq 3x - 2 \
y > -2x + 4
]
A. The line intersects at ( (1, 1) )
B. The feasible region is unbounded
C. The area of intersection is empty
D. The intersection is a single point
For the pair of equations ( 5x + 2y = 20 ) and ( 10x - 4y = -4 ), what can be said about the graphs of these equations?
A. They are parallel lines.
B. They are coincident lines.
C. They intersect at a single point.
D. They form a right angle.
Which of the following represents the solution set of the inequality ( 4 - 5x < 1 )?
A. ( x > \frac{3}{5} )
B. ( x < \frac{3}{5} )
C. ( x \leq \frac{3}{5} )
D. ( x \geq -\frac{3}{5} )
What are the solutions of the system given by:
[
2x - y = 3 \
3x + 4y = 24
]
A. ( (3, 3) )
B. ( (4, 5) )
C. ( (5, 4) )
D. ( (6, 1) )
Solve the following inequalities:
[
2x + 3 \geq 5 \
x - 1 < 2
]
A. ( x \leq 2 )
B. ( x \geq 1 )
C. ( x < 1 )
D. ( x > 3 )
Find the values of ( x ) that satisfy the simultaneous equations:
[
x + y = 15 \
2x - 3y = -1
]
A. ( (4, 11) )
B. ( (5, 10) )
C. ( (6, 9) )
D. ( (7, 8) )