Writing and Solving Expressions

Mr. Marcin is making bags of prizes. He has 92 prizes and splits them evenly into b bags. Which expression represents how many prizes are in each bag?

Answer explanation

To find how many prizes are in each bag, divide the total number of prizes (92) by the number of bags (b). Thus, the correct expression is 92 ÷ b.

Tags

CCSS.HSA-SSE.A.1A

There were 47 frogs in a pond. f of the frogs hopped away. Choose the expression that represents the number of frogs left in the pond.

Answer explanation

To find the number of frogs left in the pond after f frogs hop away, subtract the number of frogs that hopped away from the total. Thus, the expression is 47 - f.

Tags

CCSS.HSA-SSE.A.1A

Shawn and his friends are going to the State Fair. It costs $12 to park their car. Tickets to get in are $10 per person. If p represents the number of people, which expression represents how much money Shawn and his friends will spend?

• 12p + 10p

• 12p - 10p

• 12p + 10

• 12 + 10p

Answer explanation

The total cost includes a $12 parking fee and $10 for each person. Thus, the expression is 12 (parking) + 10p (tickets for p people), which simplifies to 12 + 10p, the correct choice.

Tags

CCSS.HSA-SSE.A.1A

A plane traveling to New York has 100 seats on board. If there are p passengers on the plane, which expression represents the number of empty seats there are on the plane?

• p - 100

• 100 - p

• 100p

• 100 + p

Answer explanation

To find the number of empty seats, subtract the number of passengers (p) from the total seats (100). Thus, the expression for empty seats is 100 - p, which is the correct choice.

Tags

CCSS.HSA-SSE.A.1A

Jordan makes 100 dollars each week. He worked for x weeks this summer.  Write an expression to represent how much money Jordan made this summer.

Answer explanation

Jordan earns 100 dollars each week. If he worked for x weeks, the total amount he made is 100 multiplied by x, which is represented by the expression 100x. Thus, the correct choice is 100x.

Tags

CCSS.HSA-SSE.A.1A

• There are 35 people at a picnic. Five people brought drinks.  Everyone else brought food.  How many people brought food?

• There are 5 people at the picnic.  More people decided to come. There are only 35 cookies.  How many cookies will each person get if they all get the same amount?

• There are 35 people at a picnic.  Other families decided to come to the picnic.  Each family that came had 5 people in it.  How many people are now at the picnic?

Answer explanation

The expression 35 + 5x represents the initial 35 people at the picnic plus 5 people from each family that arrives. The correct choice reflects this scenario, asking for the total number of people after additional families come.

Tags

CCSS.HSA-SSE.A.1A

A Lyft driver earns $10/hour and works "h" hours per day. She also spends $25 on gas each day. Which expression represents how much she will earn in a day?

• 10h + 25

• 10h - 25

• 10h - 25h

• 10h + 25h

Answer explanation

The driver earns $10 for each hour worked, represented by 10h. However, she spends $25 on gas, which must be subtracted from her earnings. Thus, the correct expression for her daily earnings is 10h - 25.

Tags

CCSS.HSA-SSE.A.1A

AT&T charges $30 per month for phone service and a one-time activation fee of $25. What expression describes the scenario, where m = months?

• 30 - 25m

• 30m - 25

• 30 + 25m

• 30m + 25

Answer explanation

The total cost is calculated as the monthly charge multiplied by the number of months (30m) plus the one-time activation fee (25). Thus, the correct expression is 30m + 25.

Tags

CCSS.6.EE.B.6

Rebecca paid $324 for concert tickets. Rebecca bought "x" amount of tickets.

Choose the expression that shows how much each ticket cost.

Answer explanation

To find the cost of each ticket, divide the total amount paid ($324) by the number of tickets (x). Thus, the correct expression is 324 ÷ x.

Tags

CCSS.HSA-SSE.A.1A

Pam put pink frosting on one-fourth of the cookies she made. If y is the total number of cookies she made, which expression shows the number of cookies with pink frosting?

• ¼ y

• ¼ + y

• y - ¼

• y ÷ ¼

Answer explanation

Pam frosted one-fourth of her cookies. If y is the total number of cookies, then the number of cookies with pink frosting is ¼ of y, which is represented by the expression ¼ y. Thus, the correct answer is ¼ y.

Tags

CCSS.6.EE.B.6