6.EE.B.7 Write & Solve Real World Equations Review

Which equation represents the following:

Jason bought a soda that cost $1.95 and some candy. The total cost was $6.25.

• $1.95-c=6.25$

• $1.95c=6.25$

• $1.95+c=6.25$

• $\frac{c}{1.95}=6.25$

Answer explanation

We would add the cost of the soda (1.95) and the cost of the candy (c) to get the total cost which was (6.25).

We could then use this equation:

1.95 + c = 6.25

to determine the cost of the candy.

Tags

CCSS.HSA.CED.A.3

Jason bought a soda that cost $1.95 and some candy. The total cost was $6.25. How much did she spend on candy?

Answer explanation

We need to solve this equation to determine the cost of the candy:

1.95 + c = 6.25

To solve, we would subtract 6.25 - 1.95, which equals 4.3, or $4.30

Tags

CCSS.6.NS.B.3

Write an equation to represent the following:

Makenzie spent $60 on a new video game. She counted her money and had $35 left.

• $m-60=35$

• $m+60=35$

• $35m=60$

• $m-35=60$

Answer explanation

Total: $35
Constant: $60
Unknown: m (starting amount of money)

Since Makenzie spent $60, we must subtract this from however much she started with (m). $35 is what was left after spending money, which is why its the total.

Tags

CCSS.HSA.CED.A.3

Makenzie spent $60 on a new video game. She counted her money and had $35 left. How much money did Makenzie start with?

Answer explanation

We must solve the following equation to determine the starting amount:

 $m-60=35$  
To solve, we add 35 + 60, which equals $95.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Which equation represents the following:

Aiden raised a total of $145 during a school fundraiser selling magazine subscriptions. He sold 20 magazine subscriptions. How much did each magazine subscription cost?

• $m+20=145$

• $\frac{m}{20}=145$

• $m-20=145$

• $20m=145$

Answer explanation

Total: $145
Constant/Coefficient: 20 subscriptions
Unknown: m = cost of EACH subscription

Each subscription costs the same, so we can multiply 20 subscriptions by the cost of each (m) to determine the total cost, which was $145.

Tags

CCSS.HSA.CED.A.3

Aiden raised a total of $145 during a school fundraiser selling magazine subscriptions. He sold 20 magazine subscriptions. How much did each magazine subscription cost?

Answer explanation

Solve:  $20m=145$  

To solve, we divide:  $\frac{145}{20}=7.25$  

Tags

CCSS.6.EE.B.7

Which equation represents the following:

Lindsay baked cookies to split equally among herself and 3 friends. Each person got a total of 6 cookies. How many cookies did Lindsay bake?

•  $4c=6$  

•  $\frac{c}{4}=6$  

•  $6c=4$  

•  $\frac{c}{6}=4$  

Answer explanation

Total: 6 cookies
Constant: 4 people (Lindsay and 3 friends)
Unknown: c = original number of cookies

The original amount of cookies was divided among 4 people and each person got a total of 6 cookies.

Tags

CCSS.HSA.CED.A.3

Lindsay baked cookies to split equally among herself and 3 friends. Each person got a total of 6 cookies. How many cookies did Lindsay bake?

Answer explanation

Solve:  $\frac{c}{4}=6$  by multiplying  $6\cdot4=24$  

Tags

CCSS.6.EE.B.7

Write an equation to represent the problem:
Todd caught three times as many fish this year than last year. He caught 63 fish by the end of the year. Which algebraic equation represents how many fish he caught last year? 

• 3f = 63
• 63 - 3 = f
• 63/3 = f
• 3 + f = 63

Tags

CCSS.HSA.CED.A.3

Solve the word problem.
Todd caught three times as many fish this year than last year. He caught 63 fish by the end of the year. Which algebraic equation represents how many fish he caught last year? Use the equation:
3f=63

• 189 fish
• 60 fish
• 21 fish

Tags

CCSS.6.EE.B.7