Sure, let's write the appropriate word problems for each given equation.
1. Equation: [tex]\( 2x - 1 = 5 \)[/tex]
- Word Problem:
If you double a number and subtract one, you get five. What is the number?
2. Equation: [tex]\( x + 3 = 5 \)[/tex]
- Word Problem:
When a number is increased by three, the result is five. What is the number?
3. Equation: [tex]\( x - 6 = 11 \)[/tex]
- Word Problem:
When a number is decreased by six, the result is eleven. What is the number?
4. Equation: [tex]\( x + 4 = 3 \)[/tex]
- Word Problem:
If a number is increased by four, the result is three. What is the number?
5. Equation: [tex]\( \frac{1}{2}y - 3 = 2 \)[/tex]
- Word Problem:
Half of a number decreased by three is two. What is the number?
6. Equation: [tex]\( 2x - 2 = 6 \)[/tex]
- Word Problem:
If you double a number and subtract two, you get six. What is the number?
7. Equation: [tex]\( \frac{2}{3}x = 6 \)[/tex]
- Word Problem:
Two-thirds of a number is six. What is the number?
8. Equation: [tex]\( x + x = 30 \)[/tex]
- Word Problem:
When a number is added to itself, the result is thirty. What is the number?
9. Equation: [tex]\( 3x + x = 20 \)[/tex]
- Word Problem:
Three times a number plus the number itself is twenty. What is the number?
10. Equation: [tex]\( x + 5 = 11 \)[/tex]
- Word Problem:
When a number is increased by five, the result is eleven. What is the number?
Each word problem provides a real-world scenario that corresponds directly to the given equation.
