Expressions and Equations: Solving Real-World Problems with Equations (CCSS.6.EE.7)
Common Core 6th Grade Math · Learn by Concept
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Common Core 6th Grade Math › Expressions and Equations: Solving Real-World Problems with Equations (CCSS.6.EE.7)
Jada needs 12 pencils for class. She already has 7. The equation $x + 7 = 12$ represents how many more pencils $x$ she needs. What is the solution for $x$?
5
19
12
7
Explanation
Solve $x + 7 = 12$ by subtracting 7 from both sides: $x = 12 - 7 = 5$. Jada needs 5 more pencils.
Three identical boxes hold a total of 15 oranges. If each box has $x$ oranges, the equation is $3x = 15$. Which value makes the equation true?
45
12
5
18
Explanation
Solve $3x = 15$ by dividing both sides by 3: $x = 15 \div 3 = 5$. Each box has 5 oranges.
A recipe needs 8 cups of flour in total. You already put in 2.5 cups. The equation $x + 2.5 = 8$ represents how many more cups $x$ you need to add. What is the solution for $x$?
10.5
3.2
2.5
5.5
Explanation
Solve $x + 2.5 = 8$ by subtracting 2.5 from both sides: $x = 8 - 2.5 = 5.5$. You need 5.5 more cups.
Each sticker pack costs 0.5 dollars. You spend 7 dollars in total. The equation $0.5x = 7$ represents how many packs $x$ you bought. What is the solution for $x$?
3.5
14
7.5
6.5
Explanation
Solve $0.5x = 7$ by dividing both sides by 0.5: $x = 7 \div 0.5 = 14$. You bought 14 packs.
Mia needs 12 dollars to buy a book. She already has 7 dollars. Which value makes the equation $x + 7 = 12$ true?
5
19
84
12/7
Explanation
Start with $x + 7 = 12$. Subtract $7$ from both sides: $x = 12 - 7 = 5$. In context, Mia needs 5 more dollars.
Each pack has 3 pencils. There are 15 pencils in total. What is the solution for $x$ in $3x = 15$?
45
12
5
18
Explanation
Start with $3x = 15$. Divide both sides by $3$: $x = 15 \div 3 = 5$. In context, there are 5 packs.
A plant needs 9 cups of water this week. It already got 2.5 cups. Which value makes the equation $x + 2.5 = 9$ true?
11.5
6.5
3.6
22.5
Explanation
Start with $x + 2.5 = 9$. Subtract \$2.5$ from both sides: $x = 9 - 2.5 = 6.5$. In context, the plant needs 6.5 more cups.
Each sticker sheet costs 0.25 dollars. With 8 dollars, how many sheets can you buy? Solve $0.25x = 8$. What is the solution for $x$?
2
7.75
8.25
32
Explanation
Start with $0.25x = 8$. Divide both sides by \$0.25$: $x = 8 \div 0.25 = 32$. In context, you can buy 32 sheets.
Maria has 12 stickers after getting 7 more. If $x$ is the number she had before, the equation is $x + 7 = 12$. What is the solution for $x$?
5
19
7
12
Explanation
Start with $x + 7 = 12$. Subtract 7 from both sides: $x = 12 - 7 = 5$. Maria had 5 stickers before getting 7 more.
Each notebook costs 3 dollars. You spend 15 dollars in total. The equation $3x = 15$ represents the number of notebooks $x$. Which value makes the equation true?
45
12
5
0.2
Explanation
Start with $3x = 15$. Divide both sides by 3: $x = 15 \div 3 = 5$. So you bought 5 notebooks.