Grade 2 Practice Problems: Algebra
Examples from Standards Revision and GLEs
2A-42)
My mother likes to keep track of how much my baby brother grows from one birthday to the next. He was 26 inches tall on his first birthday. On his second birthday Mom measured him and found he had grown 2 more inches from when he was measured on his first birthday. On his third birthday he had grown 1 inch. On his fourth birthday he had grown 2 more inches. If this continues how many inches will my baby brother have grown by his eighth birthday?
2A-41)
Mac got a new plant.
In April he counted 5 leaves.
In May there were 10 leaves.
In June he counted 15 leaves.
In July there were 20 leaves.
How many leaves do you think there were in August?
Why do you think that?
2A-40) Write the missing number in the blank. 43, 53, _____, 73 How did you find the missing number?
2A-39) Write the missing numbers in the blanks. 55, 50, 45, 40, _____, _____, _____
How did you find the missing numbers?
2A-38) Draw in the missing shapes and label them.
2A-37) Draw the missing shapes and label them
2A-36) Look for the pattern. Use the rule to make up your own. Fill in the blanks.
2A-35) Write the rule for the pattern. ___________________________ Fill in the T-table.
Dogs |
Legs |
1 |
4 |
2 |
8 |
3 |
12 |
4 |
_____ |
_____ |
_____ |
_____ |
_____ |
Describe the rules, or patterns, in the T-table.
2A-34) Fill in the blanks to extend the pattern. 0, 3, 6, 9, _____, _____
2A-33) Jane made a bread chain. There are 20 beads in her chain. Look for her pattern.
How many 
are in her bead chain? Tell how you know.
beads cost 2¢ each.
beads cost 5¢ each.
beads cost 10¢ each.
How much will Jane spend to make her 20-bead chain?
2A-32) Count and write a number in each empty square.
1 |
2 |
3 |
4 |
5 |
6 |
- |
- |
9 |
- |
- |
- |
13 |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
- |
-- |
- |
- |
- |
- |
- |
- |
- |
-- |
- |
- |
- |
- |
- Describe a pattern going across
. - Describe a pattern going down
2A-31) How many x’s are in Row 5? Tell how you decided.
2A-30) Mr. King bought more than one fruit basket like this one. He got 8 apples in all. How many oranges, pears, and grapes did he get? Tell me how you know.
2A-29) You have 8 balloons. Half of the balloons pop! How many balloons are left? Draw a picture and use it to solve the problem.
2A-28) Chris had
Chris bought two things. Now Chris has
What do you think Chris bought? ______________________________
If Chris had bought three things, what could he have bought?
2A-27) Find the missing number: 6 + c = 11
2A-26) Choose a number between 1 and 10.
- Record your number _____.
- Record at least 5 written equivalent equations for that number. You may draw pictures to illustrate your thinking. The equations can be written horizontally or vertically.
- Pick 2 of your equations and write a story problem for them.
2A-25) What two numbers add up to 10 and also have a difference of 6?
+ 
= 10 
- 
= 6
What number is 
? What number is 
? Tell how you decided.
2A-24) Fill in the blanks to show 3 different ways to solve the same problem 24 + 33.
- 24 + 33 = ________
- 24 + 33 = ________
- 24 = ________
+ 33 = ________
____ + ____ =
2A-23) Solve the equation. 51 – 19 = _____ Write a story problem to match the number sentence.
2A-22) Alexis has 32 gummy fish. Jed has 14 of them. How many more gummy fish does Alexis have?
2A-21) Complete this number sentence. 45 – 23 = ______
Write a story problem to match the number sentence.
2A-20) Erik had 27 picture books. He gave 12 of the books to Janice. How many books will Erik keep?
2A-19) Write your own story problem to go with this number sentence. 4 + 2 = ____
What is the answer to your problem?
2A-18) Four cats were sitting on the deck. Two cats jumped off. How many cats are on the deck now? Write the number fact sentence that you would use to solve the problem.
2A-17) Three of these are fact family number sentences for the numbers 3, 5, and 8? Which is not?
2A-16) Which of these is a correct number sentence?
2A-15) If you count on, what are the next three numbers in this pattern?
126, 127, 128, ___, ___, ___
A. 129, 130, 131 B. 127, 126, 125 C. 226, 227, 228 D. 1026, 1027, 1028
2A-14) Cindy gets $5.00 each day to take care of her little sister.
How many days will it take her to have $40?
A. 8 B. 25 C. 9 D. 5
2A-13) If 6 + 7 = 13, then which statement below must be true?
2A-12) What number should go in the box in the sentence 13 - = 5 to make it true?
A. 18 B. 8 C. 12 D. 7
2A-11) Fill in the blanks using greater than, less than, or equal to (>,<,=) 956-529_______659-238
2A-10) Fill in the blanks using greater than, less than, or equal to (>,<,=) 225________212+6
2A-9) Fill in the missing numbers 325-____=169
2A-8) Fill in the missing numbers 72+___= 121
2A-7) Fill in the missing numbers 4, 8, 12, 16, __,__,__,__
2A-6) 4 five-pound blocks sit on one side of the seesaw. 6 five-pound blocks sit on the other side. How can we make the seesaw balance?
2A-5) We have 2 blocks of ice on one side of the seesaw. On the other side, we have 6 blocks of ice. The blocks of ice each weigh the same amount. What do we need to do to make the seesaw balance?
2A-4) 8 two-ton elephants sit on the left side of the seesaw. 6 two-ton elephants sit on the right side of the seesaw. How can we make the seesaw balance?
2A-3) Red blocks are twice as heavy as blue blocks. We have 3 red blocks on one side of the seesaw. How many blue blocks do we need to put on the other side of the seesaw to make it balance?
2A-2) Write a story to go with this number sentence. Make a picture to match. Then give the answer. 6 + ___ = 10 .
2A-1) Write a story to go with this number sentence. Make a picture to match. Then give the answer. 12 - 9 = ___ .
Expectations & Examples of Algebra from the 2008 Mathematics Standards Revision (draft) - Grade 2
Extend and create additive patterns, including growing patterns, and explain the rule used to extend/create the pattern. Examples:
Solve equations in which the unknown and the equal sign appear in a variety of positions. Examples:
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Examples of Algebraic Sense from the 2006 GLEs – Grade 2
Translate a pattern from one representation, including sounds, objects, and symbols, to another representation. Extend and explain patterns of addition and subtraction represented in charts and tables. Use equations with numbers and labels to represent real world situations involving addition and subtraction. Explain the meaning of inequality using pictures or words. Give an example of inequality in real life. Solve equations having a box or other symbol for an unknown with addition or subtraction using manipulatives, pictures, physical models, and/or symbols. Construct and solve one step equations, using manipulatives, pictures, and/or physical models, for a given situation. |