Question
plug in the vocab words
Vocabulary words
addition property of equality defining a variable
division property of equality equation
equivalent equations inverse property of multiplication
multiplication property of equality multiplicative inverses
reciprocals subtraction property of equality
solution two-step equation
Sentences
1. The _____________________ states that two sides of an equation remain equal when you add the same number to each side.
2. Two numbers with a product of one is called ____________________ or ____________________
3. Horatio uses subtraction property of equality to rewrite the equation 9z + 4 = 31 as 9z=27. Thes equations are called __________ because they have the same solution.
4. The ______________________ states that two sides of an equation remain equal if you multiple each side by the same number
5 A(n) ______________________ is a sentence stating that two quantities are equal.
7. The value of a variable that makes an equation true is called the ________________________ of an equation.
8. To solve the equation 5a+3=18 in the fewest steps possible, you would use the ________________ and the ___________________
Vocabulary words
addition property of equality defining a variable
division property of equality equation
equivalent equations inverse property of multiplication
multiplication property of equality multiplicative inverses
reciprocals subtraction property of equality
solution two-step equation
Sentences
1. The _____________________ states that two sides of an equation remain equal when you add the same number to each side.
2. Two numbers with a product of one is called ____________________ or ____________________
3. Horatio uses subtraction property of equality to rewrite the equation 9z + 4 = 31 as 9z=27. Thes equations are called __________ because they have the same solution.
4. The ______________________ states that two sides of an equation remain equal if you multiple each side by the same number
5 A(n) ______________________ is a sentence stating that two quantities are equal.
7. The value of a variable that makes an equation true is called the ________________________ of an equation.
8. To solve the equation 5a+3=18 in the fewest steps possible, you would use the ________________ and the ___________________
Answers
GPT-4o mini
Here are the sentences completed with the appropriate vocabulary words:
1. The **addition property of equality** states that two sides of an equation remain equal when you add the same number to each side.
2. Two numbers with a product of one are called **multiplicative inverses** or **reciprocals**.
3. Horatio uses the **subtraction property of equality** to rewrite the equation 9z + 4 = 31 as 9z = 27. These equations are called **equivalent equations** because they have the same solution.
4. The **multiplication property of equality** states that two sides of an equation remain equal if you multiply each side by the same number.
5. A(n) **equation** is a sentence stating that two quantities are equal.
6. The value of a variable that makes an equation true is called the **solution** of an equation.
7. To solve the equation 5a + 3 = 18 in the fewest steps possible, you would use the **subtraction property of equality** and the **multiplication property of equality**.
(Note: In sentence 5 it seems there was a numbering error (skipping number 6), so I maintained your numbering format.)
1. The **addition property of equality** states that two sides of an equation remain equal when you add the same number to each side.
2. Two numbers with a product of one are called **multiplicative inverses** or **reciprocals**.
3. Horatio uses the **subtraction property of equality** to rewrite the equation 9z + 4 = 31 as 9z = 27. These equations are called **equivalent equations** because they have the same solution.
4. The **multiplication property of equality** states that two sides of an equation remain equal if you multiply each side by the same number.
5. A(n) **equation** is a sentence stating that two quantities are equal.
6. The value of a variable that makes an equation true is called the **solution** of an equation.
7. To solve the equation 5a + 3 = 18 in the fewest steps possible, you would use the **subtraction property of equality** and the **multiplication property of equality**.
(Note: In sentence 5 it seems there was a numbering error (skipping number 6), so I maintained your numbering format.)