| What to create | Quiz |
| Which subject | Mathematics |
| What age group | College |
| What topic | Algebra |
| Question types | Open-ended |
| Number of questions | 10 |
| Number of answers | 4 |
| Correct answers | Exactly 1 |
| Show correct answers | |
| Use images (descriptions) | |
| Any other preferences |
Answer each question thoughtfully and show your workings where applicable. This quiz tests your understanding of algebraic concepts and problem-solving skills.
Solve the equation for x:
( 3x - 7 = 14 )
Factor the quadratic expression:
( x^2 - 5x + 6 )
Determine the roots of the following polynomial using the quadratic formula:
( 2x^2 + 3x - 5 = 0 )
Find the vertex of the parabola defined by the function:
( f(x) = 2x^2 - 4x + 1 )
Solve the system of equations using the substitution method:
( y = 2x + 1 )
( 3x - 4y = -1 )
Simplify the following expression:
( \frac{2x^2 - 8}{2x} )
Solve for x in the exponential equation:
( 5^{x} = 125 )
Express ( 4x^2 - 9 ) as a product of its factors.
Using logarithms, solve for x in the equation:
( \log_2(x + 3) = 5 )
Calculate the value of x in the rational equation:
( \frac{x - 1}{x + 2} = \frac{3}{4} )
Please write your answers clearly, and indicate the correct steps for each solution. Use appropriate mathematical terminology where necessary. Good luck!