1. What is the first step in solving the equation 4 + 10 x 3 - 2 = n?
A. Find 4 + 10.
B. Find 3 - 2.
C. Find 10 x 3
D. Subtract n.
2. The cost of 3 pizzas is shared equally by 6 people. Each pizza costs $9. Each person contributes $5. Which equation could be used to find, m, the amount of money left?
A. 3 x 9 - 6 x 5
B. 9 / 3 - 6 x 5
C. 6 x 5 - 3 x 9 = m
D. 3 x 9 + 5 x 6 = m
#1 What does PEMDAS tell you?
#2 amount contributed minus cost of pizzas = 6x5 - ___
1. The correct answer is C. Find 10 x 3. To solve the equation step-by-step, we need to follow the order of operations, which states that we should perform multiplication before addition or subtraction. Thus, the first step is to calculate 10 x 3, which is 30.
2. The correct answer is A. 3 x 9 - 6 x 5. To find the amount of money left, we need to subtract the total contributions made by the 6 people from the total cost of the 3 pizzas. Each pizza costs $9, so the total cost of 3 pizzas is 3 x 9 = 27. Each person contributes $5, so the total contributions made by 6 people is 6 x 5 = 30. Therefore, the equation that represents the amount of money left is 3 x 9 - 6 x 5 = m.
1. The first step in solving the equation 4 + 10 x 3 - 2 = n is to follow the order of operations, also known as PEMDAS or BODMAS. This acronym stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). The first step is to perform any calculations inside parentheses, but in this equation, there are no parentheses. So, we move on to the next step, which is to perform any multiplication or division from left to right.
Looking at the equation, we see that there is multiplication between 10 and 3. Therefore, the first step is to find the value of 10 x 3.
So, the answer to question 1 is C. Find 10 x 3.
2. To find the amount of money left, m, we need to calculate the total cost of the pizzas and then subtract the amount contributed by each person.
Since each pizza costs $9 and there are 3 pizzas, the total cost of the pizzas is 3 x 9 = 27 dollars.
To equally share the cost among 6 people, we divide the total cost by the number of people. Thus, each person contributes 27 / 6 = 4.5 dollars.
However, in the options given, all values are whole numbers and not decimals. So, we can rewrite the amount contributed by each person as 5 dollars for simplicity.
To find the amount of money left, we need to subtract the total contribution from the total cost of the pizzas. Therefore, the equation to find m is:
Total cost of pizzas - Total contribution = m
Substituting the values, we get the equation:
3 x 9 - 6 x 5 = m
So, the answer to question 2 is C. 6 x 5 - 3 x 9 = m.