Common Core: 1st Grade Math : Operations & Algebraic Thinking

Study concepts, example questions & explanations for Common Core: 1st Grade Math

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Example Questions

Example Question #7 : Representing And Solving Addition And Subtraction Problems

My candy basket has \(\displaystyle 1\) sucker, \(\displaystyle 7\) chocolate bars, and \(\displaystyle 3\) gummies. How many total pieces of candy do I have? 

Possible Answers:

\(\displaystyle 15\)

\(\displaystyle 13\)

\(\displaystyle 12\)

\(\displaystyle 14\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle 11\)

Explanation:

This is an addition problem because we want to know how many pieces of candy when I put the sucker, chocolate and gummies together. When we put things together we are adding. 

We can start at \(\displaystyle 1\) and count up \(\displaystyle 7\).

\(\displaystyle 1,2,3,4,5,6,7,8\)

Then we can count up \(\displaystyle 3\).

\(\displaystyle 8,9,10,11\)

\(\displaystyle \frac{\begin{array}[b]{r}1\\ 7\\+\ 3\end{array}}{ \ \ \space 11}\)

Example Question #8 : Representing And Solving Addition And Subtraction Problems

Lindsey’s family is going on vacation. She packs \(\displaystyle 2\) bags, her dad packs \(\displaystyle 1\) bag, and her mom packs \(\displaystyle 4\) bags. How many total bags are they taking on their vacation? 

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 7\)

\(\displaystyle 9\)

\(\displaystyle 3\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 7\)

Explanation:

This is an addition problem because we want to know how many total bags the family has altogether. When we put things together we are adding. 

We can start at \(\displaystyle 2\) and count up \(\displaystyle 1\).

\(\displaystyle 2,3\)

Then we can count up \(\displaystyle 4\).

\(\displaystyle 3,4,5,6,7\)

\(\displaystyle \frac{\begin{array}[b]{r}2\\ 1\\+\ 4\end{array}}{ \ \ \ \space 7}\)

Example Question #1 : Word Problems: Addition Of Three Whole Numbers Whose Sum Is 20 Or Less: Ccss.Math.Content.1.Oa.A.2

Amy’s street has three houses on it. The first house has \(\displaystyle 4\) bedrooms, the second house has \(\displaystyle 7\) bedrooms, and the third house has \(\displaystyle 3\) bedrooms. How many total bedrooms do the three houses have? 

Possible Answers:

\(\displaystyle 16\)

\(\displaystyle 14\)

\(\displaystyle 15\)

\(\displaystyle 10\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle 14\)

Explanation:

This is an addition problem because we want to know how many total rooms are in the three houses altogether. When we put things together we are adding. 

We can start at \(\displaystyle 4\) and count up \(\displaystyle 7\).

\(\displaystyle 4,5,6,7,8,9,10,11\)

Then we can count up \(\displaystyle 3\).

\(\displaystyle 11,12,13,14\)

\(\displaystyle \frac{\begin{array}[b]{r}4\\ 7\\+\ 3\end{array}}{ \ \ \space 14}\)

Example Question #11 : Representing And Solving Addition And Subtraction Problems

Brian loves balloons. For his birthday, his mom tied \(\displaystyle 2\) balloons to the mailbox, \(\displaystyle 3\) balloons to the door, and put \(\displaystyle 12\) balloons in the house. How many total balloons does Brian have? 

Possible Answers:

\(\displaystyle 17\)

\(\displaystyle 14\)

\(\displaystyle 15\)

\(\displaystyle 19\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 17\)

Explanation:

This is an addition problem because we want to know how many total balloons there are when we put the balloons on the mailbox, door, and in the house altogether. When we put things together we are adding. 

We can start at \(\displaystyle 2\) and count up \(\displaystyle 3\).

\(\displaystyle 2,3,4,5\)

Then we can count up \(\displaystyle 12\).

\(\displaystyle 5,6,7,8,9,10,11,12,13,14,15,16,17\)

\(\displaystyle \frac{\begin{array}[b]{r}2\\ 3\\+\ 12\end{array}}{ \ \ \ \space 17}\)

Example Question #12 : Representing And Solving Addition And Subtraction Problems

The pet store sells bunnies, fish, and kittens. They have \(\displaystyle 5\) bunnies, \(\displaystyle 12\) fish, and \(\displaystyle 2\) kittens. How many total animals do they have? 

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 20\)

\(\displaystyle 17\)

\(\displaystyle 19\)

\(\displaystyle 14\)

Correct answer:

\(\displaystyle 19\)

Explanation:

This is an addition problem because we want to know how many pets the store has when we put the fish, kittens, and bunnies together. When we put things together we are adding. 

We can start at \(\displaystyle 5\) and count up \(\displaystyle 12\).

\(\displaystyle 5,6,7,8,9,10,11,12,13,14,15,16,17\)

Then we can count up \(\displaystyle 2\).

\(\displaystyle 17,18,19\)

\(\displaystyle \frac{\begin{array}[b]{r}5\\ 12\\+\ \ 2\end{array}}{ \ \ \ \space 19}\)

Example Question #13 : Representing And Solving Addition And Subtraction Problems

Rick, his mom, and dad went to the batting cages. Rick hit \(\displaystyle 5\) balls, his dad hit \(\displaystyle 11\) balls, and his mom hit \(\displaystyle 3\) balls. How many total balls did they hit? 

Possible Answers:

\(\displaystyle 20\)

\(\displaystyle 8\)

\(\displaystyle 16\)

\(\displaystyle 19\)

\(\displaystyle 14\)

Correct answer:

\(\displaystyle 19\)

Explanation:

This is an addition problem because we want to know how many total balls the family hit together. When we put things together we are adding. 

We can start at \(\displaystyle 5\) and count up \(\displaystyle 11\).

\(\displaystyle 5,6,7,8,9,10,11,12,13,14,15,16\)

Then we can count up \(\displaystyle 3\).

\(\displaystyle 16,17,18,19\)

\(\displaystyle \frac{\begin{array}[b]{r}5\\ 11\\+\ \ 3\end{array}}{ \ \ \space 19}\)

Example Question #14 : Representing And Solving Addition And Subtraction Problems

At the store, Megan bought a bag of \(\displaystyle 6\) apples, a bag of \(\displaystyle 8\) oranges, and \(\displaystyle 2\) bananas. How many pieces of fruit did Megan buy? 

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle 16\)

\(\displaystyle 17\)

\(\displaystyle 19\)

\(\displaystyle 20\)

Correct answer:

\(\displaystyle 16\)

Explanation:

This is an addition problem because we want to know how many total pieces of fruit Megan has when we put the apples, organes, and bananas together. When we put things together we are adding. 

We can start at \(\displaystyle 6\) and count up \(\displaystyle 8\).

\(\displaystyle 6,7,8,9,10,11,12,13,14\)

Then we can count up \(\displaystyle 2\).

\(\displaystyle 14,15,16\)

\(\displaystyle \frac{\begin{array}[b]{r}6\\ 8\\+\ 2\end{array}}{ \ \ \space 16}\)

Example Question #15 : Representing And Solving Addition And Subtraction Problems

For a project, Tim needs \(\displaystyle 7\) pieces of blue paper, \(\displaystyle 3\) pieces of yellow paper, and \(\displaystyle 3\) pieces of green paper. How many pieces of paper does Tim need? 

Possible Answers:

\(\displaystyle 15\)

\(\displaystyle 11\)

\(\displaystyle 12\)

\(\displaystyle 14\)

\(\displaystyle 13\)

Correct answer:

\(\displaystyle 13\)

Explanation:

This is an addition problem because we want to know how many pieces of paper Tim needs when we put the three colors together. When we put things together we are adding. 

We can start at \(\displaystyle 7\) and count up \(\displaystyle 3\).

\(\displaystyle 7,8,9,10\)

Then we can count up \(\displaystyle 3\).

\(\displaystyle 10,11,12,13\)

\(\displaystyle \frac{\begin{array}[b]{r}7\\ 3\\+\ 3\end{array}}{ \ \ \space 13}\)

Example Question #16 : Representing And Solving Addition And Subtraction Problems

A bag of marbles has \(\displaystyle 2\) purple marbles, \(\displaystyle 3\) black marbles, and \(\displaystyle 6\) red marbles. How many marbles are in the bag? 

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 18\)

\(\displaystyle 10\)

\(\displaystyle 12\)

\(\displaystyle 14\)

Correct answer:

\(\displaystyle 11\)

Explanation:

This is an addition problem because we want to know how many total marbles are in the bag when we put the colors together. When we put things together we are adding. 

We can start at \(\displaystyle 2\) and count up \(\displaystyle 3\).

\(\displaystyle 2,3,4,5\)

Then we can count up \(\displaystyle 6\).

\(\displaystyle 5,6,7,8,9,10,11\)

\(\displaystyle \frac{\begin{array}[b]{r}2\\ 3\\+\ 6\end{array}}{ \ \ \space 11}\)

Example Question #17 : Representing And Solving Addition And Subtraction Problems

At the dog park there are \(\displaystyle 5\) brown dogs, \(\displaystyle 3\) white dogs, and \(\displaystyle 1\) black dog. How many dogs are at the park? 

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 8\)

\(\displaystyle 7\)

\(\displaystyle 5\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 9\)

Explanation:

This is an addition problem because we want to know how many total dogs are at the park altogether. When we put things together we are adding. 

We can start at \(\displaystyle 5\) and count up \(\displaystyle 3\).

\(\displaystyle 5,6,7,8\)

Then we can count up \(\displaystyle 1\).

\(\displaystyle 8,9\)

\(\displaystyle \frac{\begin{array}[b]{r}5\\ 3\\+\ 1\end{array}}{ \ \ \ \space 9}\)

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