Will the given equation solve the problem? Choose all which will.
Responses
A Problem: The sum of twice a number and −6 is 9 more than the opposite of the number. Find the number. Equation: 2n − 6 = 9 − nProblem: The sum of twice a number and −6 is 9 more than the opposite of the number. Find the number. Equation: 2n − 6 = 9 − n
B Problem: Anna drove 450 km in 6 hours. Find her rate of travel. Equation: 450r = 6Problem: Anna drove 450 km in 6 hours. Find her rate of travel. Equation: 450r = 6
C Problem: Three times a number increased by 44 is the same as the opposite of the number. Find the number. Equation: 3n + 44 = −nProblem: Three times a number increased by 44 is the same as the opposite of the number. Find the number. Equation: 3n + 44 = −n
D Problem: Sara collects her change and realizes that she has five times as many dimes as quarters. The total amount for the change is $5.25. Find the number of quarters in her collection. Equation: x + 10x = $5.25
A, C, D
The equations that will solve the problems are:
A. Problem: The sum of twice a number and −6 is 9 more than the opposite of the number. Find the number. Equation: 2n − 6 = 9 − n
C. Problem: Three times a number increased by 44 is the same as the opposite of the number. Find the number. Equation: 3n + 44 = −n