Grade 9 Mathematics Quiz: Inequality and Proportion

Instructions:

Answer all the questions.
For questions with multiple choice answers, choose the correct answer by writing the corresponding letter (A, B, C, or D).
Good luck!

What is the solution to the inequality ( 3x - 5 < 10 )?
Which of the following represents the proportion of boys to girls if there are 12 boys and 16 girls?
- A. ( \frac{12}{16} )
- B. ( \frac{16}{12} )
- C. ( \frac{12 + 16}{12} )
- D. ( \frac{48}{12} )
In solving the inequality ( -2(x + 3) > 6 ), what is the first step you should take?
If a recipe requires 4 cups of flour for every 2 cups of sugar, what is the ratio of flour to sugar?
- A. 2:1
- B. 1:2
- C. 4:1
- D. 1:4
Solve the inequality ( 5x + 3 \geq 18 ). What is the value of ( x )?
Which inequality represents the statement "x is at least 7"?
- A. ( x < 7 )
- B. ( x \geq 7 )
- C. ( x \leq 7 )
- D. ( x > 7 )
The ratio of students to teachers in a school is 20:1. If there are 100 students, how many teachers are there?
If you have the equation ( \frac{x}{4} = 3 ), what is the value of ( x )?
- A. 12
- B. 16
- C. 8
- D. 10
What is the solution for the inequality ( 2x + 4 < 10 )?
Which of the following shows a correct method to check if ( x = 2 ) is a solution to the inequality ( x - 1 > 0 )?
- A. Plug ( x = 2 ) into the inequality, resulting in ( 2 - 1 > 0 )
- B. Plug ( x = 2 ) into the inequality, resulting in ( 1 - 2 > 0 )
- C. Calculate ( x ) and add 1 to check
- D. No method required for inequalities

Make sure to review your answers before submitting!