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

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #91 : Operations & Algebraic Thinking

Jessica’s dog eats three times a day. In the morning he eats \(\displaystyle 2\) cups of food, in the afternoon he eats \(\displaystyle 1\) cup of food, and in the evening he eats \(\displaystyle 3\) cups of food. How many total cups of food does Jessica’s dog eat each day? 

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle 4\)

\(\displaystyle 3\)

\(\displaystyle 5\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 6\)

Explanation:

This is an addition problem because we want to know how many cups of food Jessica's dog gets altogether in a day. 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 \(\displaystyle 3\).

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

\(\displaystyle \frac{\begin{array}[b]{r}2\\ 1\\+\ 3\end{array}}{ \ \ \ \space 6}\)

Example Question #92 : Operations & Algebraic Thinking

Cindy has three sets of steps in her house. There are \(\displaystyle 2\) steps to walk up to the front door, \(\displaystyle 12\) steps to get upstairs, and \(\displaystyle 6\) steps to get into the basement. How many total steps does Cindy have?  

Possible Answers:

\(\displaystyle 14\)

\(\displaystyle 8\)

\(\displaystyle 20\)

\(\displaystyle 18\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 20\)

Explanation:

This is an addition problem because we want to know the total number of steps in Cindy's house when we put all three sets of steps together. When we put things together we are adding. 

We can start at \(\displaystyle 2\) and count up \(\displaystyle 12\).

\(\displaystyle 2,3,4,5,6,7,8,9,10,11,12,13,14\)

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

\(\displaystyle 14,15,16,17,18,19,20\)

\(\displaystyle \frac{\begin{array}[b]{r}2\\12\\+\ \ 6\end{array}}{ \ \ \ \space 20}\)

Example Question #93 : Operations & Algebraic Thinking

Joe spent \(\displaystyle 5\) minutes cleaning his room, \(\displaystyle 7\) minutes cleaning his bathroom, and \(\displaystyle 2\) minutes helping his mom clean the kitchen. How much time did Joe spend cleaning? 

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle 5\)

\(\displaystyle 16\)

\(\displaystyle 14\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 14\)

Explanation:

This is an addition problem because we want to know how many total minutes Joe spent cleaning altogether. When we put things together we are adding. 

We can start at \(\displaystyle 5\) and count up \(\displaystyle 7\).

\(\displaystyle 5,6,7,8,9,10,11,12\)

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

\(\displaystyle 12,13,14\)

\(\displaystyle \frac{\begin{array}[b]{r}5\\ 7\\+\ 2\end{array}}{ \ \ \space 14}\)

Example Question #21 : Word Problems: Addition Of Three Whole Numbers Whose Sum Is 20 Or Less: Ccss.Math.Content.1.Oa.A.2

At school we had a hotdog-eating contest. I ate \(\displaystyle 3\) hotdogs, Mel ate \(\displaystyle 2\) hotdogs, and Eric ate \(\displaystyle 3\) hotdogs. How many total hotdogs did we eat? 

Possible Answers:

\(\displaystyle 8\)

\(\displaystyle 5\)

\(\displaystyle 11\)

\(\displaystyle 10\)

\(\displaystyle 13\)

Correct answer:

\(\displaystyle 8\)

Explanation:

This is an addition problem because we want to know how many hotdogs we ate altogether. When we put things together we are adding. 

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

\(\displaystyle 3,4,5\)

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

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

\(\displaystyle \frac{\begin{array}[b]{r}3\\ 2\\+\ 3\end{array}}{ \ \ \ \space 8}\)

Example Question #22 : Word Problems: Addition Of Three Whole Numbers Whose Sum Is 20 Or Less: Ccss.Math.Content.1.Oa.A.2

At the cakewalk there are \(\displaystyle 3\) chocolate cakes, \(\displaystyle 2\) yellow cakes, and \(\displaystyle 2\) white cakes. How many total cakes are there? 

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 6\)

\(\displaystyle 7\)

\(\displaystyle 4\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 7\)

Explanation:

This is an addition problem because we want to know how many cakes are at the cake walk altogether. When we put things together we are adding. 

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

\(\displaystyle 3,4,5\)

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

\(\displaystyle 5,6,7\)

\(\displaystyle \frac{\begin{array}[b]{r}3\\ 2\\+\ 2\end{array}}{ \ \ \ \space 7}\)

Example Question #94 : Operations & Algebraic Thinking

At Linda’s birthday party there were \(\displaystyle 6\) peperoni pizzas, \(\displaystyle 3\) sausage pizzas, and \(\displaystyle 7\) cheese pizzas. How many total pizzas were there? 

Possible Answers:

\(\displaystyle 19\)

\(\displaystyle 17\)

\(\displaystyle 16\)

\(\displaystyle 18\)

\(\displaystyle 20\)

Correct answer:

\(\displaystyle 16\)

Explanation:

This is an addition problem because we want to know how many total pizzas we have when we put the pizzas altogether. When we put things together we are adding. 

We can start at \(\displaystyle 6\) and count up \(\displaystyle 3\).

\(\displaystyle 6,7,8,9\)

Then we can count up \(\displaystyle 7\).

\(\displaystyle 9,10,11,12,13,14,15,16\)

\(\displaystyle \frac{\begin{array}[b]{r}6\\ 3\\+\ 7\end{array}}{ \ \ \space 16}\)

Example Question #21 : Representing And Solving Addition And Subtraction Problems

Lauren has \(\displaystyle 3\) pencils, \(\displaystyle 2\) markers, and \(\displaystyle 4\) notebooks in her backpack. How many total items does Lauren have in her backpack? 

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 9\)

\(\displaystyle 10\)

\(\displaystyle 7\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 9\)

Explanation:

This is an addition problem because we want to know how many total supplies Lauren has in her backpack when we put everything together. When we put things together we are adding. 

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

\(\displaystyle 3,4,5\)

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

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

\(\displaystyle \frac{\begin{array}[b]{r}3\\ 2\\+\ 4\end{array}}{ \ \ \ \space 9}\)

Example Question #1 : Adding And Subtracting Within 20

Fill in the blank. \(\displaystyle 2\)\(\displaystyle 4\)_________, \(\displaystyle 8\)\(\displaystyle 10\)

 

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 8\)

\(\displaystyle 4\)

\(\displaystyle 6\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 6\)

Explanation:

In this series we are adding \(\displaystyle 2\) each time, or counting by \(\displaystyle 2\)\(\displaystyle 2+2=4\), \(\displaystyle 4+2=6\), \(\displaystyle 6+2=8\) and \(\displaystyle 8+2=10\)

Example Question #1 : Adding And Subtracting Within 20

Fill in the blank \(\displaystyle 4\), \(\displaystyle 8\), __________, \(\displaystyle 16\), \(\displaystyle 20\)

Possible Answers:

\(\displaystyle 14\)

\(\displaystyle 15\)

\(\displaystyle 12\)

\(\displaystyle 13\)

\(\displaystyle 11\)

Correct answer:

\(\displaystyle 12\)

Explanation:

In this series we are adding \(\displaystyle 4\) each time, or counting by \(\displaystyle 4\)\(\displaystyle 4+4=8\)\(\displaystyle 8+4=12\)\(\displaystyle 12+4=16\), and \(\displaystyle 16+4=20\)

Example Question #1 : Adding And Subtracting Within 20

Fill in the blank \(\displaystyle 2\), \(\displaystyle 4\), \(\displaystyle 6\), __________, \(\displaystyle 10\) 

 

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 8\)

\(\displaystyle 7\)

\(\displaystyle 6\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 8\)

Explanation:

 In this series we are adding \(\displaystyle 2\) each time, or counting by \(\displaystyle 2\)\(\displaystyle 2+2=4\)\(\displaystyle 4+2=6\)\(\displaystyle 6+2=8\) and \(\displaystyle 8+2=10\).

Learning Tools by Varsity Tutors