4n + 7 = 23
n = 4
9n - 13 = 95
n = 12
(n ÷ 3) + 5 = 11
(n ÷ 4) - 3 = 5
n = 32
In the expression, 2a, identify the variable.
a
-3n + 9 = 0
n = 3
12x - 18 = 66
n = 7
(n ÷ 8) + 7 = 15
n = 64
(n ÷ 5) - 4 = 9
n = 65
In the expression, 2a+4, identify the coefficient and the constant.
Coefficient = 2
Constant = 4
0.5n + 8 = 18
n = 20
-14n - 56 = 350
n = 29
(2n ÷ 5) + 3 = 9
n = 15
(2n ÷ 5) - 3 = 9
n = 30
How many terms does the following expression have?
3(a + 22b - 53c + 47d - 50e + 86f)
6
Sarah is buying some items at a store. She buys n number of books, and each book costs $7. In addition to the books, she also buys a notebook for $5. If Sarah spent $54, how many books did she buy?
Equation: 7n+5=54
Solution: Sarah bought 7 books
Tyler is saving money for a new phone that costs $640. However, he owes his parents $120, and he needs to pay them back before buying the phone. If Tyler saves $40 every week, how many weeks will it take for him to pay off his debt and buy the phone?
Equation: 40x-120=640
Solution: It will take Tyler 20 weeks.
Liam has some apples. He decides to divide them equally into 3 baskets. After putting apples into the baskets, he adds 8 more apples to one of the baskets. The total number of apples in that basket is 15. How many apples did Liam start with?
Equation: (n ÷ 3) + 8 = 15
Solution: Liam started with 21 apples
A group of friends are sharing a bag of candy. They decide to divide the candy equally into 5 bags. After taking out 3 candies to eat, they find that each of the remaining bags contains 6 candies. How many candies were in the bag originally?
Equation: (n ÷ 5) - 3 = 6
Solution: The bag originally contained 45 candies
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
Equation: 6n+7=331
Solution: There were 54 students on each bus
Jimmy goes to the store to buy a jacket. The store is having a sale for 20% off the original price of the jackets. Jimmy also has a $10−off coupon he will use to buy the jacket.
If Jimmy's total was $50 what was the original price of the jacket Jimmy bought?
Equation: 0.80n-10=50
Answer: The original price of the jacket was $75
Sarah is organizing a charity event and decides to distribute a set of toy boxes into 4 equal groups. After placing toys into each group, she adds 5 extra toys to one of the groups. The total number of toys in that group is now 17. How many toys did Sarah originally have?
Equation: (n ÷ 4) + 5 = 17
Solution: Sarah originally had 48 toys
A baker made a batch of cookies and divided them equally into 8 boxes. After giving 6 cookies away, there are 10 cookies left in one of the boxes. How many cookies did the baker make originally?
Equation: (n ÷ 8) - 6 = 10
Solution: The baker originally made 128 cookies