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Unit 1: Foundations of Algebra: Number Calculations

Total questions: 91

Worksheet time: 46mins

Name
Class
Date
1.

To solve a simple addition or subtraction problem, which symbols would you use?

a)

+, -, and =

b)

*, /, and =

c)

+ and * only

d)

- and / only

2.

Provide an example of adding a positive and a negative number, and solve it.

a)

Example: 5 + (-3) = 2

b)

Example: 5 + (-3) = 8

c)

Example: 5 + (-3) = -8

d)

Example: 5 + (-3) = -2

3.

Give an example of a multiplication or division problem with positive integers and solve it.

a)

Example: 4 × 3 = 12 or 12 ÷ 3 = 4

b)

Example: 4 × 3 = 7 or 12 ÷ 3 = 2

c)

Example: 4 × 3 = 15 or 12 ÷ 3 = 5

d)

Example: 4 × 3 = 10 or 12 ÷ 3 = 6

4.

Read each scenario to anchor the math problem. Then read each question and write the student's answer in the blank space. 1. 16 + 23 = ______

a)

39

b)

29

c)

33

d)

41

5.

Read each scenario to anchor the math problem. Then read each question and write the student's answer in the blank space. 2. 37 - 14 = ______

a)

23

b)

19

c)

27

d)

31

6.

Read each scenario to anchor the math problem. Then read each question and write the student's answer in the blank space. 3. 19 + 45 = ______

a)

64

b)

54

c)

65

d)

59

7.

Read each scenario to anchor the math problem. Then read each question and write the student's answer in the blank space. 4. 33 - 27 = ______

a)

6

b)

5

c)

7

d)

9

8.

Read each scenario to anchor the math problem. Then read each question and write the student's answer in the blank space. 5. (32 - 12) + 8 = ______

a)

28

b)

22

c)

30

d)

18

9.

Read each scenario to anchor the math problem. Then read each question and write the student's answer in the blank space.

6. (15 + 6) - 3 = ______

a)

18

b)

16

c)

20

d)

14

10.

Read each scenario to anchor the math problem. Then read each question and write the student's answer in the blank space.

7. 10 + -5 = ______

a)

5

b)

-15

c)

-5

d)

10

11.

Read each scenario to anchor the math problem. Then read each question and write the student's answer in the blank space.

8. -3 + 7 = ______

a)

4

b)

-10

c)

0

d)

-4

12.

Read each scenario to anchor the math problem. Then read each question and write the student's answer in the blank space. 9. 8 x 2 = ______

a)

16

b)

12

c)

18

d)

20

13.

Read each scenario to anchor the math problem. Then read each question and write the student's answer in the blank space.

10. 18 ÷ 3 = ______

a)

6

b)

3

c)

9

d)

5

14.

The local pizza shop made 16 pizzas on Friday night. They made 23 pizzas on Saturday night. How many pizzas did they make altogether?

a)

39

b)

29

c)

33

d)

41

15.

Simon has 37 stickers. He gives 14 stickers to his little sister. How many stickers does Simon have left?

a)

23

b)

17

c)

27

d)

14

16.

Bella works at the library. She puts 19 books on a shelf. She puts 45 books on another shelf. How many books does she put on shelves altogether?

a)

64

b)

54

c)

34

d)

74

17.

A concession stand at a football game has 33 hot dogs. They sell 27 hot dogs. How many hot dogs are left?

a)

6

b)

3

c)

9

d)

12

18.

The school cafeteria put out 32 milk cartons for the first lunch period. They sold 12 of the cartons. Then, they put out 8 more milk cartons for the next lunch period. How many milk cartons does the cafeteria have out now?

a)

28

b)

20

c)

32

d)

24

19.

How many markers does Carlos have left?

a)

18

b)

12

c)

24

d)

15

20.

Sergio has 10 trading cards. He owes Gabby 5 cards. If Sergio gives Gabby the cards he owes her, how many cards will he have left?

a)

5

b)

10

c)

0

d)

15

21.

When Reagan started skiing this morning, the temperature was -3 degrees. By noon, the temperature went up by 7 degrees. What was the temperature at noon?

a)

4

b)

2

c)

-10

d)

7

22.

Will is making cupcakes for a party. There will be 8 guests. Each guest will get 2 cupcakes. How many cupcakes should Will make?

a)

16

b)

10

c)

8

d)

20

23.

Alysia has 18 coffee mugs. She wants to put an equal amount of mugs in 3 rows. How many mugs will be in each row?

a)

6

b)

5

c)

4

d)

3

24.

Directions: Read each scenario to anchor the math problem. Then read each question and write the student’s answer in the blank space. Solve: 13 + 31 = ____

a)

44

b)

35

c)

42

d)

53

25.

Solve: 29 - 15 = ____

a)

14

b)

10

c)

12

d)

16

26.

Solve: 17 + 38 = ____

a)

55

b)

45

c)

57

d)

51

27.

Solve: 43 - 18 = ____

a)

25

b)

15

c)

30

d)

20

28.

Solve: (46 - 16) + 7 = ____

a)

37

b)

32

c)

27

d)

41

29.

Solve: (18 + 9) - 5 = ____

a)

22

b)

27

c)

18

d)

20

30.

Directions: Read each scenario to anchor the math problem. Then read each question and write the student’s answer in the blank space. Solve: 8 ÷ 4 = ____

a)

2

b)

4

c)

8

d)

1

31.

Directions: Read each scenario to anchor the math problem. Then read each question and write the student’s answer in the blank space. Solve: -5 + 8 = ____

a)

3

b)

-13

c)

-3

d)

5

32.

Solve: 9 × 3 = ____

a)

27

b)

18

c)

21

d)

36

33.

Directions: Read each scenario to anchor the math problem. Then read each question and write the student’s answer in the blank space. Solve: 15 ÷ 5 = ____

a)

3

b)

2

c)

5

d)

10

34.

The local pizza shop made 13 pizzas on Friday night. They made 31 pizzas on Saturday night. How many pizzas did they make altogether?

a)

44

b)

38

c)

42

d)

50

35.

Simon has 29 stickers. He gives 15 stickers to his little sister. How many stickers does Simon have left?

a)

14

b)

10

c)

12

d)

18

36.

Bella works at the library. She puts 17 books on a shelf. She puts 38 books on another shelf. How many books does she put on shelves altogether?

a)

55

b)

45

c)

65

d)

35

37.

A concession stand at a football game has 43 hot dogs. They sell 18 hot dogs. How many hot dogs are left? Fill in the blank with the number of hot dogs left.

a)

25

b)

15

c)

30

d)

20

38.

The school cafeteria put out 46 milk cartons for the first lunch period. They sold 16 of the cartons. Then, they put out 7 more milk cartons for the next lunch period. How many milk cartons does the cafeteria have out now?

a)

37

b)

29

c)

53

d)

32

39.

How many markers does Carlos have left?

a)

22

b)

15

c)

30

d)

10

40.

Sergio has 8 trading cards. He owes Gabby 6 cards. If Sergio gives Gabby the cards he owes her, how many cards will he have left?

a)

2

b)

4

c)

6

d)

8

41.

When Reagan started skiing this morning, the temperature was -5 degrees. By noon, the temperature went up by 8 degrees. What was the temperature at noon?

a)

3

b)

-13

c)

-8

d)

5

42.

Will is making cupcakes for a party. There will be 9 guests. Each guest will get 3 cupcakes. How many cupcakes should Will make?

a)

27

b)

18

c)

21

d)

30

43.

Alysia has 15 coffee mugs. She wants to put an equal amount of mugs in 5 rows. How many mugs will be in each row?

a)

3

b)

2

c)

4

d)

5

44.

Write an expression for the number of birds in the tree altogether.

a)

A + 12

b)

A - 12

c)

A × 12

d)

A ÷ 12

45.

Write an expression for how many more articles Sean writes than Ashley writes.

a)

6 - B

b)

B - 6

c)

6 + B

d)

B + 6

46.

Write an expression for the number of sandwiches Sweet Bee will have to make altogether.

a)

10 x B

b)

B + 10

c)

10 + B

d)

B x 10

47.

Write an expression for the number of shirts he will put into each pile.

a)

A ÷ 7

b)

A × 7

c)

A + 7

d)

A - 7

48.

Write and simplify the expression, where A = 3.

a)

3 + 2 = 5

b)

3 + 2 = 6

c)

3 + 2 = 4

d)

3 + 2 = 7

49.

Write and simplify the expression, where B = 20.

a)

15 + 20 = 35

b)

15 + 20 = 25

c)

15 + 20 = 30

d)

15 + 20 = 20

50.

Write and simplify the expression, where B = 14.

a)

24 - 14 = 10

b)

24 - 14 = 8

c)

24 - 14 = 12

d)

24 - 14 = 14

51.

Write and simplify the expression, where A = 36.

a)

36 - 25 = 11

b)

36 - 25 = 9

c)

36 - 25 = 12

d)

36 - 25 = 10

52.

Write and simplify the expression, where A = 7.

a)

7 x 4 = 28

b)

7 x 3 = 21

c)

7 x 5 = 35

d)

7 x 2 = 14

53.

Write and simplify the expression, where B = 4.

a)

12 x 4 = 48

b)

12 x 3 = 36

c)

12 x 2 = 24

d)

12 x 5 = 60

54.

Write and simplify the expression, where B = 5.

a)

25 ÷ 5 = 5

b)

25 ÷ 5 = 10

c)

25 ÷ 5 = 25

d)

25 ÷ 5 = 1

55.

Write and simplify the expression, where A = 56.

a)

56 ÷ 8 = 7

b)

56 ÷ 7 = 8

c)

56 ÷ 6 = 9

d)

56 ÷ 9 = 6

56.

There are A birds in a tree. 12 more birds land in the tree. Write an expression for the number of birds in the tree altogether.

a)

A + 12

b)

A - 12

c)

A × 12

d)

A ÷ 12

57.

Sean writes 6 articles for the school newspaper. Ashley writes B articles for the school newspaper. Write an expression for how many more articles Sean writes than Ashley writes.

a)

6 - B

b)

B - 6

c)

6 + B

d)

B + 6

58.

The Sweet Bee catering company is making sandwich trays. They want to put 10 sandwiches onto each tray. They have B trays. Write an expression for the number of sandwiches Sweet Bee will have to make altogether.

a)

10 x B

b)

B + 10

c)

10 - B

d)

B / 10

59.

Alex has A shirts. He wants to split the shirts into 7 equal piles. Write an expression for the number of shirts he will put into each pile. Write the expression.

a)

A ÷ 7

b)

A × 7

c)

A + 7

d)

A - 7

60.

Carla and Abdul went to a library. Carla borrowed A books. Abul borrowed 2 books. How many books did they borrow altogether? Write and simplify the expression, where A = 3.

a)

5

b)

4

c)

6

d)

3

61.

The Cuppa Joy coffee shop sold 15 coffees on Monday. They sold B coffees on Tuesday. How many coffees did they sell altogether?

a)

35

b)

25

c)

20

d)

30

62.

Marie made 24 cake pops. She gave away B cake pops. How many cake pops does Marie have left? Write and simplify the expression, where B = 14.

a)

10

b)

8

c)

12

d)

14

63.

A school club had A bookmarks. They sold 25 bookmarks. How many bookmarks does the club have left? Write and simplify the expression, where A = 36.

a)

11

b)

25

c)

61

d)

9

64.

William is planting flowers in gardens. He wants to plant A flowers in each garden. There are 4 gardens. How many flowers does he need altogether? Write and simplify the expression, where A = 7.

a)

28

b)

21

c)

14

d)

35

65.

Ruby is putting books onto shelves. She wants to put 12 books onto each shelf. There are B shelves. How many books does she have altogether? Write and simplify the expression, where B = 4.

a)

48

b)

16

c)

36

d)

24

66.

Miss Garcia has 25 markers. She wants to give each student the same number of markers. She has B students. How many markers will she give to each student? Write and simplify the expression, where B = 5.

a)

5

b)

20

c)

10

d)

25

67.

A school club is having a cookie sale. They have A cookies. They want to put the same number of cookies into each bag. They have 8 bags. How many cookies will go into each bag?

a)

A ÷ 8

b)

A × 8

c)

A + 8

d)

A - 8

68.

Write an expression for the number of birds in the tree altogether.

a)

A + 8

b)

A - 8

c)

8 - A

d)

A × 8

69.

Write an expression for how many more articles Sean writes than Ashley writes.

a)

4 - B

b)

B - 4

c)

4 + B

d)

B + 4

70.

Write an expression for the number of sandwiches Sweet Bee will have to make altogether.

a)

15 x B

b)

B + 15

c)

15 - B

d)

B / 15

71.

Write an expression for the number of shirts he will put into each pile.

a)

A ÷ 4

b)

A × 4

c)

A + 4

d)

A - 4

72.

Write and simplify the expression, where A = 5.

a)

5 + 1 = 6

b)

5 + 2 = 7

c)

5 + 3 = 8

d)

5 + 4 = 9

73.

Write and simplify the expression, where B = 18.

a)

13 + 18 = 31

b)

13 + 18 = 28

c)

13 + 18 = 30

d)

13 + 18 = 32

74.

Write and simplify the expression, where B = 6.

a)

12 - 6 = 6

b)

12 - 6 = 12

c)

12 - 6 = 0

d)

12 - 6 = 8

75.

Write and simplify the expression, where A = 42.

a)

42 - 30 = 12

b)

42 - 30 = 13

c)

42 - 30 = 10

d)

42 - 30 = 15

76.

Write and simplify the expression, where A = 8.

a)

8 x 5 = 40

b)

8 x 4 = 32

c)

8 x 3 = 24

d)

8 x 2 = 16

77.

Write and simplify the expression, where B = 3.

a)

15 x 3 = 45

b)

15 x 2 = 30

c)

15 x 4 = 60

d)

15 x 5 = 75

78.

Write and simplify the expression, where B = 3.

a)

36 ÷ 3 = 12

b)

36 ÷ 3 = 9

c)

36 ÷ 3 = 6

d)

36 ÷ 3 = 3

79.

Write and simplify the expression, where A = 48.

a)

48 ÷ 6 = 8

b)

48 ÷ 8 = 6

c)

48 ÷ 12 = 4

d)

48 ÷ 4 = 12

80.

There are A birds in a tree. 8 more birds land in the tree. Write an expression for the number of birds in the tree altogether. Write the expression.

a)

A + 8

b)

A - 8

c)

A × 8

d)

A ÷ 8

81.

Sean writes 4 articles for the school newspaper. Ashley writes B articles for the school newspaper. Write an expression for how many more articles Sean writes than Ashley writes.

a)

4 - B

b)

B - 4

c)

4 + B

d)

B + 4

82.

The Sweet Bee catering company is making sandwich trays. They want to put 15 sandwiches onto each tray. They have B trays. Write an expression for the number of sandwiches Sweet Bee will have to make altogether. Write the expression.

a)

15 x B

b)

15 + B

c)

B - 15

d)

15 ÷ B

83.

Alex has A shirts. He wants to split the shirts into 4 equal piles. Write an expression for the number of shirts he will put into each pile. Write the expression.

a)

A ÷ 4

b)

A × 4

c)

A + 4

d)

A - 4

84.

Carla and Abdul went to a library. Carla borrowed A books. Abul borrowed 1 book. How many books did they borrow altogether?

a)

6

b)

5

c)

7

d)

4

85.

The Cuppa Joy coffee shop sold 13 coffees on Monday. They sold B coffees on Tuesday. How many coffees did they sell altogether?

a)

31

b)

25

c)

18

d)

20

86.

Marie made 12 cake pops. She gave away B cake pops. How many cake pops does Marie have left? Write and simplify the expression, where B = 6.

a)

6

b)

12

c)

18

d)

8

87.

A school club had A bookmarks. They sold 30 bookmarks. How many bookmarks does the club have left? Write and simplify the expression, where A = 42.

a)

12

b)

72

c)

30

d)

0

88.

William is planting flowers in gardens. He wants to plant A flowers in each garden. There are 5 gardens. How many flowers does he need altogether?

a)

40

b)

25

c)

10

d)

5

89.

Ruby is putting books onto shelves. She wants to put 15 books onto each shelf. There are B shelves. How many books does she have altogether? Write and simplify the expression, where B = 3.

a)

45

b)

30

c)

18

d)

15

90.

Miss Garcia has 36 markers. She wants to give each student the same number of markers. She has B students. How many markers will she give to each student? Write and simplify the expression, where B = 3.

a)

12

b)

9

c)

15

d)

18

91.

A school club is having a cookie sale. They have A cookies. They want to put the same number of cookies into each bag. They have 6 bags. How many cookies will go into each bag?

a)

8

b)

6

c)

12

d)

4