Common Core Math - Weeblyhornetstaff.weebly.com/uploads/3/0/4/3/30439116/5th...between corresponding terms. Form ordered pairs consisting of corresponding terms for two patterns, and

5th Grade Common

Core Math Operations and

Algebraic Thinking

©Kristine Nannini www.youngteacherlove.blogspot.com

Printable Review Problems

Standards Included: 5.OA.1-Use parentheses, brackets, or braces in

numerical expressions, and evaluate expressions with these symbols.

5.OA.2-Write simple expressions that record calculations with numbers, and interpret numerical

expressions without evaluating them.

5.OA.3-Generate two numerical patterns using two given rules. Identify apparent relationships

between corresponding terms. Form ordered pairs consisting of corresponding terms for two patterns,

and graph the ordered pairs on a coordinate plane.


1.) Which expression can be used to represent the phrase: four less than a number?

A.) d – 4 B.) 4 – d C.) d + 4 D.) 27 – 4

2.) The expression 6n can represent which of the following phrases?

A.) 6 times n students B.) n students divided into groups of 6 C.) 6 students divided into n groups D.) 6 less than n students

3.) If z + 7= 19, then what is the value of (z)?

5.) Which rule can be used to find the output numbers in this table?

A.) divide the input number by 11 B.) add 24 to the input number. C.) multiply the input number by 9 D.) divide the input number by 9

6.) Which variable expression can be used to represent: 13 more than the quotient of 6 and a number x?

A.) 13 – 6x B.) 6 + 13x C.) (6 ÷ x) + 13 D.) (6 – x) + 13

4.) Evaluate the expression:

9 + (16 − 3) × 12 + 10 ÷ 2=

Name: __________ 5th Grade Common Core Math Date: ________ Operations and Algebraic Thinking

Show all of your work

Input Output

27 3

54 6

63 7

90 10

©Kristine Nannini www.youngteacherlove.blogspot.com 1

1.) Which expression can be used to represent the phrase: four less than a number?

A.) d – 4 B.) 4 – d C.) d + 4 D.) 27 – 4

5.OA.2

2.) The expression 6n can represent which of the following phrases?

A.) 6 times n students B.) n students divided into groups of 6 C.) 6 students divided into n groups D.) 6 less than n students

5.OA.2


3.) If z + 7= 19, then what is the value of (z)?

z = 12 5.OA.2

5.) Which rule can be used to find the output numbers in this table?

A.) divide the input number by 11 B.) add 24 to the input number. C.) multiply the input number by 9 D.) divide the input number by 9

5.OA.3

6.) Which variable expression can be used to represent: 13 more than the quotient of 6 and a number x?

A.) 13 – 6x B.) 6 + 13x C.) (6 ÷ x) + 13 D.) (6 – x) + 13

5.OA.2

4.) Evaluate the expression:

9 + (16 − 3) × 12 + 10 ÷ 2=

170 5.OA.1

Input Output

27 3

54 6

63 7

90 10

5th Grade Common Core Math Operations and Algebraic Thinking

Answer Key

1a

1.) What is the value of the expression:

5 + (20 – 8) ÷ 3 + 6 =

2.) Garth is giving 10 of his action figures to his brother. If (a) represents the number of action figures Garth has, write an expression that shows how many action figures Garth will have left after giving 10 to his brother?

3.) What is the value of: 8 + 2g – 7, when (g) = 5?

5.) Stu bought chips, popcorn, and pretzels for a picnic. Together, he bought 15 bags. He bought 3 bags of pretzels, and 3 times as many bags of chips as popcorn. How many bags of chips did he buy?

6.) A child’s ticket for a movie costs $2 less than an adult’s ticket. If (a) represents the cost of an adult’s ticket, which expression represents the cost of a child’s ticket?

A.) a – 2 B.) 2 + a C.) 2a D.) 2 – a

4.) Which of the following is equal to 8?

A.) 6 + (4 ÷ 2) + 1 × 3 B.) 6 + 4 ÷ (2 + 1) × 3 C.) (6 + 4) ÷ 2 + 1 × 3 D.) (6 + 4 ÷ 2) + 1 × 3




2

1.) What is the value of the expression:

5 + (20 – 8) ÷ 3 + 6 =

15 5.OA.1

2.) Garth is giving 10 of his action figures to his brother. If (a) represents the number of action figures Garth has, write an expression that shows how many action figures Garth will have left after giving 10 to his brother?

a – 10 5.OA.2

3.) What is the value of: 8 + 2g – 7, when (g) = 5?

11 5.OA.1

5.) Stu bought chips, popcorn, and pretzels for a picnic. Together, he bought 15 bags. He bought 3 bags of pretzels, and 3 times as many bags of chips as popcorn. How many bags of chips did he buy?

9 bags 5.OA.1

6.) A child’s ticket for a movie costs $2 less than an adult’s ticket. If (a) represents the cost of an adult’s ticket, which expression represents the cost of a child’s ticket?

A.) a – 2 B.) 2 + a C.) 2a D.) 2 – a

5.OA.2

4.) Which of the following is equal to 8?

A.) 6 + (4 ÷ 2) + 1 × 3 B.) 6 + 4 ÷ (2 + 1) × 3 C.) (6 + 4) ÷ 2 + 1 × 3 D.) (6 + 4 ÷ 2) + 1 × 3

5.OA.2



Answer Key

2a

1.) Brett scored 12 more points than Jason in a basketball game. If (p) represents the number of points that Jason scored, which expression represents the number of points that Brett scored?

A.) p – 12 B.) p + 12 C.) 12p D.) 12 – p

2.) What is the value of the expression below if (y) = 5?

35 ÷ (y + 2) + 4 =

3.) Which number completes the table?

A.) 10 B.) 13 C.) 16 D.) 84

5.) Solve: 10 ÷ (10 -23) + 3 =

6.) Write the algebraic equation, then solve to find the number: seventy-nine less than a number is 47.

4.) In the expression below, which operation would you perform first?

12 + (18 - 2) x 3 ÷ 24 =

n 63 91 119 147

n ÷ 7 9 ? 17 21




3

1.) Brett scored 12 more points than Jason in a basketball game. If (p) represents the number of points that Jason scored, which expression represents the number of points that Brett scored?

A.) p – 12 B.) p + 12 C.) 12p D.) 12 – p

5.OA.2

2.) What is the value of the expression below if (y) = 5?

35 ÷ (y + 2) + 4 =

9 5.OA.1

3.) Which number completes the table?

A.) 10 B.) 13 C.) 16 D.) 84

5.OA.3

5.) Solve: 10 ÷ (10 -23) + 3 =

8 5.OA.1

6.) Write the algebraic equation, then solve to find the number: seventy-nine less than a number is 47.

x – 79 = 47 x = 126

5.OA.1 and 5.OA.2


12 + (18 - 2) x 3 ÷ 24 =

subtraction in the parenthesis 5.OA.2

n 63 91 119 147

n ÷ 7 9 ? 17 21



Answer Key

3a

1.) Amber made the input-output table shown below. Which rule explains how to get the output number from the input number?

A.) add 5, multiply by 2 B.) add 10 C.) multiply by 5, add 2 D.) multiply by 6

2.) Ryan is painting faces at the fair. It takes him 10 minutes to set up his materials. Each face takes 6 minutes to paint. Ryan wants to know how many faces (f) he can paint in 60 minutes. Which equation represents this situation?

A.) 6f + 10 = 60 B.) 10f + 6 = 60 C.) 6f – 10 = 60 D.) 10f – 6 = 60

3.) Solve: [(6 - 3) x 2] ÷ 3 =

6.) Which operation would you perform first when evaluating: 15 – 5 ÷ 3 + 2 - 1?

A.) division B.) multiplication C.) addition D.) subtraction

4.) Where would you insert parentheses to make the equation true?

2 x 4 + 6 - 2 + 8 ÷ 4 = 18

A.) 2 x 4 + (6 - 2) + 8 ÷ 4 = 18 B.) (2 x 4 + 6) - 2 + 8 ÷ 4 = 18 C.) 2 x 4 + 6 – (2 + 8 ÷ 4) = 18 D.) 2 x (4 + 6 - 2) + 8 ÷ 4 = 18

5.) Solve: [(2 + 27 – 7) x 2] ÷ 4 =

Input Output

2 12

5 27

8 42

10 52




4

1.) Amber made the input-output table shown below. Which rule explains how to get the output number from the input number?

A.) add 5, multiply by 2 B.) add 10 C.) multiply by 5, add 2 D.) multiply by 6

5.OA.3

2.) Ryan is painting faces at the fair. It takes him 10 minutes to set up his materials. Each face takes 6 minutes to paint. Ryan wants to know how many faces (f) he can paint in 60 minutes. Which equation represents this situation?

A.) 6f + 10 = 60 B.) 10f + 6 = 60 C.) 6f – 10 = 60 D.) 10f – 6 = 60

5.OA.2

3.) Solve: [(6 - 3) x 2] ÷ 3 =

2 5.OA.1

6.) Which operation would you perform first when evaluating: 15 – 5 ÷ 3 + 2 - 1?

A.) division B.) multiplication C.) addition D.) subtraction

5.OA.1

4.) Where would you insert parentheses to make the equation true?

2 x 4 + 6 - 2 + 8 ÷ 4 = 18

A.) 2 x 4 + (6 - 2) + 8 ÷ 4 = 18 B.) (2 x 4 + 6) - 2 + 8 ÷ 4 = 18 C.) 2 x 4 + 6 – (2 + 8 ÷ 4) = 18 D.) 2 x (4 + 6 - 2) + 8 ÷ 4 = 18

5.OA.1

5.) Solve: [(2 + 27 – 7) x 2] ÷ 4 =

11

5.OA.1



Answer Key

Input Output

2 12

5 27

8 42

10 52

4a

3.) Louis bought packages of donuts. There were 4 donuts in each package, and Louis gave 6 donuts to his friends. Write an expression to show this situation.


7 x 4 - (8 ÷ 7) + 2 =

4.) Brett rakes leaves to earn money. He uses the information in the table shown to find how long it would take him to rake lawns of different sizes.

Write a rule that tells how the amount of time Brett takes to rake a lawn is related to the lawn's size.

1.) Write the algebraic equation, then solve to find the number: seventy-six less than a number is 89.

2.) What is a rule for this table?

A.). p + 19 B.) p − 22 C.) p + 22 D.) p − 19

6.) What is the value of the expression?

9 × (8 – 5) + 8 =

Size of Lawn

(square ft.)

Time to Rake

(minutes)

200 40

250 50

300 60

350 70

400 80

p 7 15 19 23

? 29 37 41 45




5

3.) Louis bought packages of donuts. There were 4 donuts in each package, and Louis gave 6 donuts to his friends. Write an expression to show this situation.

4p – 6 5.OA.2


7 x 4 - (8 ÷ 7) + 2 =

division in the parenthesis 5.OA.1

4.) Brett rakes leaves to earn money. He uses the information in the table shown to find how long it would take him to rake lawns of different sizes.

Write a rule that tells how the amount of time Brett takes to rake a lawn is related to the lawn's size.

Answers may vary. Example: For every 50 square feet of lawn, it takes 10 additional minutes to rake.

5.OA.3

1.) Write the algebraic equation, then solve to find the number: seventy-six less than a number is 89.

x - 76 = 89 x = 165

5.OA.1 and 5.OA.2

2.) What is a rule for this table?

A.). p + 19 B.) p − 22 C.) p + 22 D.) p − 19

5.OA.3

6.) What is the value of the expression?

9 × (8 – 5) + 8 =

35 5.OA.1

Size of Lawn

(square ft.)

Time to Rake

(minutes)

200 40

250 50

300 60

350 70

400 80

p 7 15 19 23

? 29 37 41 45



Answer Key

5a

1.) How many boys will participate in the track meet if there are 21 girls participating in the meet?

2.) Write the algebraic equation, then solve to find the number: the sum of a number and 33 is 123.

3.) Solve: [ 79 - ( 6 + 2 ) ] × 2 =

6.) Use the table to find the score a student should receive for answering 19 questions correctly.

5.) The girls in Karen’s family own a total of 46 t-shirts. The oldest, Heidi, has 18 t-shirts. Karen has 6 times as many t-shirts as her little sister, June. How many t-shirts does Karen own?

4.) What is the value of: 2 + 8 ÷ 2 × k, if (k) = 4?

Number of girls in the track meet

12 15 18 21

Number of boys in the track meet

8 11 14 ?

Number of questions answered correctly

3 16 18 19

Score 15 80 90 ?




6

1.) How many boys will participate in the track meet if there are 21 girls participating in the meet?

17 boys 5.OA.3

2.) Write the algebraic equation, then solve to find the number: the sum of a number and 33 is 123.

n + 33 = 123 n = 90

5.OA.1 and 5.OA.2

3.) Solve: [ 79 - ( 6 + 2 ) ] × 2 =

142 5.OA.1

6.) Use the table to find the score a student should receive for answering 19 questions correctly.

95 5.OA.3

5.) The girls in Karen’s family own a total of 46 t-shirts. The oldest, Heidi, has 18 t-shirts. Karen has 6 times as many t-shirts as her little sister, June. How many t-shirts does Karen own?

24 t-shirts 5.OA.1

4.) What is the value of: 2 + 8 ÷ 2 × k, if (k) = 4?

18 5.OA.1

Number of girls in the track meet

12 15 18 21

Number of boys in the track meet

8 11 14 ?

Number of questions answered correctly

3 16 18 19

Score 15 80 90 ?



Answer Key

6a

2.) Solve: 5 × ( 52 + 2) =

3.) Solve: (12 ÷ 4) 2 =

1.) Solve: 1 × ( 82 + 6 ) =

4.) Evaluate x + 5y, if (x) = 12 and (y) = 9.

6.) Kyle has a total of 36 unmatched socks that are either red, black, or brown. There are 11 unmatched red socks, and 4 times as many unmatched black socks as brown socks. How many unmatched black socks does Kyle have?

5.) What is the rule for the table below?


s 35 40 45 50

k 7 8 9 10



7

2.) Solve: 5 × ( 52 + 2) =

135 5.OA.1

3.) Solve: (12 ÷ 4) 2 =

9 5.OA.1

1.) Solve: 1 × ( 82 + 6 ) =

70 5.OA.1

4.) Evaluate x + 5y, if (x) = 12 and (y) = 9.

57 5.OA.1

6.) Kyle has a total of 36 unmatched socks that are either red, black, or brown. There are 11 unmatched red socks, and 4 times as many unmatched black socks as brown socks. How many unmatched black socks does Kyle have?

20 socks 5.OA.1

5.) What is the rule for the table below?

s ÷ 5 = k 5.OA.3

s 35 40 45 50

k 7 8 9 10



Answer Key

7a

2.) Solve:

32 × (9 × 42 × 5) =

3.) Evaluate 47 + d, if (d) = 30

5.) Solve:

62 x 4 + [(9 x 3) + 42] =

6.) Solve:

[74 – (5 + 4)] × 2 =

1.) Which is the rule for the table below?

A.) x − 6 B.) x + 6 C.) x − 7 D.) x + 7

4.) An electrician charges $45 per hour and spends $20 a day on gasoline. Write an expression to represent his earnings for one day.

x 17 25 32 41

? 11 19 26 35




8

2.) Solve:

32 × (9 × 42 × 5) =

6,480 5.OA.1

3.) Evaluate 47 + d, if (d) = 30

77 5.OA.1

5.) Solve:

62 x 4 + [(9 x 3) + 42] =

187 5.OA.1

6.) Solve:

[74 – (5 + 4)] × 2 =

130 5.OA.1

1.) Which is the rule for the table below?

A.) x − 6 B.) x + 6 C.) x − 7 D.) x + 7

5.OA.3

4.) An electrician charges $45 per hour and spends $20 a day on gasoline. Write an expression to represent his earnings for one day.

$45x - $20 5.OA.2

x 17 25 32 41

? 11 19 26 35



Answer Key

8a

2.) Solve: 32 + (9 + 72) + 4 =

3.) Solve: 7 - 6.4 + 7.7 =

6.) If an expression had all of the operations listed below, which operation would you perform last?

A.) parentheses B.) addition C.) division D.) multiplication

4.) Write the rule, then fill in the empty box.

Input Output

11 44

27 108

36 144

39 ?

1.) Write the algebraic equation, then solve to find the number: a number increased by 55 is 92.

5.) Which expression has a value of 66?

A.) (16 ÷ 3.2) x 2 + 0.2 x (8 + 82) B.) [(16 ÷ 3.2) x (2 + 0.2)] x 8 + 82 C.) 16 ÷ [(3.2 x 2) + (0.2 x 8)] + 82 D.) [16 ÷ (3.2 x 2) + 0.2 x (8 + 82)




9

2.) Solve: 32 + (9 + 72) + 4 =

71 5.OA.1

3.) Solve: 7 - 6.4 + 7.7 =

8.3 5.OA.1

6.) If an expression had all of the operations listed below, which operation would you perform last?

A.) parentheses B.) addition C.) division D.) multiplication

5.OA.1


Rule: multiply by 4 ? = 156 5.OA.3

1.) Write the algebraic equation, then solve to find the number: a number increased by 55 is 92.

n + 55 = 92 n = 37

5.OA.1 and 5.OA.2

5.) Which expression has a value of 66?

A.) (16 ÷ 3.2) x 2 + 0.2 x (8 + 82) B.) [(16 ÷ 3.2) x (2 + 0.2)] x 8 + 82 C.) 16 ÷ [(3.2 x 2) + (0.2 x 8)] + 82 D.) [16 ÷ (3.2 x 2) + 0.2 x (8 + 82)

5.OA.1



Answer Key

Input Output

11 44

27 108

36 144

39 ?

9a

1.) What is the rule used for B?

A.) start at 0, add 2 B.) start at 2, add 6 C.) start at 0, add 6 D.) start at 0, multiply by 6

2.) Use the input-output table from question #1 to answer this question:

What is the relationship between the corresponding terms in A and B?

A.) B is always 4 greater than A. B.) A is always 3 times as much as B. C.) A is always 4 greater than B. D.) B is always 3 times as much as A.

4.) Which expression represents a number decreased by 9?

A.) 9 ÷ c B.) c ÷ 9 C.) 9 – c D.) c – 9

6.) Solve:

[ 90 ÷ (6 x 4 – 9) ] x 5 =

3.) Evaluate p – 10, if (p) = 16.

5.) Solve:

7 × (7 – 4) + 6 =


Start 1st Term 2nd Term 3rd Term

A 0 2 4 6

B 0 6 12 18



10

1.) What is the rule used for B?

A.) start at 0, add 2 B.) start at 2, add 6 C.) start at 0, add 6 D.) start at 0, multiply by 6

5.OA.3

2.) Use the input-output table from question #1 to answer this question:

What is the relationship between the corresponding terms in A and B?

A.) B is always 4 greater than A. B.) A is always 3 times as much as B. C.) A is always 4 greater than B. D.) B is always 3 times as much as A.

5.OA.3

4.) Which expression represents a number decreased by 9?

A.) 9 ÷ c B.) c ÷ 9 C.) 9 – c D.) c – 9

5.OA.2

6.) Solve:

[ 90 ÷ (6 x 4 – 9) ] x 5 =

30 5.OA.1

3.) Evaluate p – 10, if (p) = 16.

6 5.OA.1

5.) Solve:

7 × (7 – 4) + 6 =

27 5.OA.1



Answer Key

Start 1st Term 2nd Term 3rd Term

A 0 2 4 6

B 0 6 12 18

10a

1.) Write the rule, then fill in the empty box. 2.) Write the algebraic expression for (n) rows of chairs with 6 chairs in each row.

3.) Solve: 1.6 ÷ (8.1 – 4.1) =

5,) Solve:

3 x (23 + 5) + 2 =

6.) Solve:

[(12 x 2.4) - (8.4 ÷ 0.6)] + 33 =

4.) Write the algebraic expression for Stephanie walked (k) miles, then walked 6 more.


Input Output

22.2 14.4

23.1 15.3

43.5 ?

49.6 41.8



11


Rule: subtract 7.8 ? = 35.7 5.OA.3

2.) Write the algebraic expression for (n) rows of chairs with 6 chairs in each row.

6n 5.OA.2

3.) Solve: 1.6 ÷ (8.1 – 4.1) =

0.4 5.OA.1

5,) Solve:

3 x (23 + 5) + 2 =

41 5.OA.1

6.) Solve:

[(12 x 2.4) - (8.4 ÷ 0.6)] + 33 =

41.8 5.OA.1

4.) Write the algebraic expression for Stephanie walked (k) miles, then walked 6 more.

k + 6 5.OA.2

Input Output

22.2 14.4

23.1 15.3

43.5 ?

49.6 41.8



Answer Key

11a

1.) Cassie has $12. She buys a balloon that costs (b). Which expression shows how much money Cassie has left?

A.) b + 12 B.) 12 - b C.) 12b D.) b ÷ 12

2.) Solve for (h): h + 9 = 21.

3.) Solve:

[(6 x 5) – (45 ÷ 5)] + 5 =

5.) Write the algebraic equation for: twenty more than twice a number is 52.

6.) Solve: 99 ÷ 9 x [4 + (11-5)] =


Input Output

20.8 30.3

27.8 ?

29.8 39.3

33.9 43.4




12

1.) Cassie has $12. She buys a balloon that costs (b). Which expression shows how much money Cassie has left?

A.) b + 12 B.) 12 - b C.) 12b D.) b ÷ 12

5.OA.2

2.) Solve for (h): h + 9 = 21.

12 5.OA.1

3.) Solve:

[(6 x 5) – (45 ÷ 5)] + 5 =

26 5.OA.1

5.) Write the algebraic equation for: twenty more than twice a number is 52.

2x + 20 = 52 5.OA.2

6.) Solve: 99 ÷ 9 x [4 + (11-5)] =

110 5.OA.1


Rule: add 9.5 ? = 37.3 5.OA.3



Answer Key

Input Output

20.8 30.3

27.8 ?

29.8 39.3

33.9 43.4

12a

2.) Write the algebraic expression for: twice a number (k).

3.) Which expression shows the number of wheels (w) on 2 cars?

A.) 2w B.) 2 + w C.) w ÷ 2 D.) w – 2

5.) Solve: 4.6 x (6.7 + 4.3) =


4.) Solve: 10 x (8 - 6) =

Input 20.4 20.9 40.1 40.7

Output 24.2 24.7 ? 44.5

1.) Solve: (12 ÷ 3) 2 =




13

2.) Write the algebraic expression for: twice a number (k).

2k 5.OA.2

3.) Which expression shows the number of wheels (w) on 2 cars?

A.) 2w B.) 2 + w C.) w ÷ 2 D.) w – 2

5.OA.2

5.) Solve: 4.6 x (6.7 + 4.3) =

50.6 5.OA.1


Rule: add 3.8 ? = 43.9 5.OA.3

4.) Solve: 10 x (8 - 6) =

20 5.OA.1

1.) Solve: (12 ÷ 3) 2 =

16 5.OA.1



Answer Key

Input 20.4 20.9 40.1 40.7

Output 24.2 24.7 ? 44.5

13a

3.) Solve:

4 x 5 + 9 + 2 x (6 + 1) =

5.) Keith and Chuck were born on the exact day, but not in the same year. Their ages are shown in the table below.

How much older is Chuck than Keith? ______

6.) Use the table from question #5 to answer these questions:

Which choice best explains the rule for this table?

A.) Add 3 to Chuck's Age to find Keith's age. B.) Subtract 4 from Chuck's Age to find Keith's age. C.) Subtract 3 from Keith's Age to find Chuck's age. D.) Add 3 to Keith's Age to find Chuck's age.

When Keith is 35, how old will Chuck be? _____

Keith's Age

5 19 22 25 27

Chuck's Age

8 22 25 28 30

4.) Solve:

8 + 3 ÷ 1 + 9 =

1.) Solve the equation by testing these values for (k): 2, 3, 4, and 5.

12k = 48

A.) k = 5 B.) k = 4 C.) k = 3 D.) k = 2

2.) Write a statement for this algebraic equation: 5 + n = 12.




14

3.) Solve:

4 x 5 + 9 + 2 x (6 + 1) =

43 5.OA.1

5.) Keith and Chuck were born on the exact day, but not in the same year. Their ages are shown in the table below.

How much older is Chuck than Keith? ______

3 years older 5.OA.3

6.) Use the table from question #5 to answer these questions:

Which choice best explains the rule for this table?

A.) Add 3 to Chuck's Age to find Keith's age. B.) Subtract 4 from Chuck's Age to find Keith's age. C.) Subtract 3 from Keith's Age to find Chuck's age. D.) Add 3 to Keith's Age to find Chuck's age.

When Keith is 35, how old will Chuck be? _____

38 5.OA.3

Keith's Age

5 19 22 25 27

Chuck's Age

8 22 25 28 30

4.) Solve:

8 + 3 ÷ 1 + 9 =

20 5.OA.1

1.) Solve the equation by testing these values for (k): 2, 3, 4, and 5.

12k = 48

A.) k = 5 B.) k = 4 C.) k = 3 D.) k = 2

5.OA.2

2.) Write a statement for this algebraic equation: 5 + n = 12.

Answers may vary. Example: n more than 5 is 12 5.OA.2



Answer Key

14a

1.) Write the rule, then fill in the empty box. 2.) What is the value of G ÷ 6 when (G) is equal to 48?

A.) 9 B.) 8 C.) 288 D.) 6

3.) Solve: (8 - 7) x (2 + 1) + 1 =

5.) Miss Nannini sells homemade bread at the farmer's market. She sold 35 loaves during the first hour and 85 loaves during the second hour. Write an algebraic expression to show the number of loaves Miss Nannini has left to sell.

6.) Solve: 4 + (5 × 12 + 5) × 2 =

Input Output

120 20

132 22

222 37

270 ?

4.) Solve: 9 × (92 × 4) ÷ 9 =




15


Rule: divide by 6 ? = 45 5.OA.3

2.) What is the value of G ÷ 6 when (G) is equal to 48?

A.) 9 B.) 8 C.) 288 D.) 6

5.OA.1

3.) Solve: (8 - 7) x (2 + 1) + 1 =

4 5.OA.1

5.) Miss Nannini sells homemade bread at the farmer's market. She sold 35 loaves during the first hour and 85 loaves during the second hour. Write an algebraic expression to show the number of loaves Miss Nannini has left to sell.

x - 35 - 85 5.OA.2

6.) Solve: 4 + (5 × 12 + 5) × 2 =

24 5.OA.1

Input Output

120 20

132 22

222 37

270 ?

4.) Solve: 9 × (92 × 4) ÷ 9 =

324 5.OA.1



Answer Key

15a

1.) Write the algebraic expression for: the sum of a number (r) and 131.

2.) The Fox Theater has main floor and box seating. The main floor can seat 12 people in each row. Another 30 people can sit in the box seats. If (r) represents the number rows, on the main floor, which expression shows how many people can be seated in the theater?

A.) 30r - 12 B.) 30r + 13 C.) 12r - 30 D.) 12r + 30

3.) Ty had 48 more hits during the baseball season than Sean (s) who had 24. Evaluate the expression s + 48, if (s) = 24. Then, explain what your answer represents.

5.) Write the algebraic expression for: 60 people separated into (n) vans.

6.) Write the algebraic expression for: 24 divided by a number (f).

4.) What is the rule for the table?


g 3 7 8 9

? 18 42 48 54



16

1.) Write the algebraic expression for: the sum of a number (r) and 131.

r + 131 5.OA.2

2.) The Fox Theater has main floor and box seating. The main floor can seat 12 people in each row. Another 30 people can sit in the box seats. If (r) represents the number rows, on the main floor, which expression shows how many people can be seated in the theater?

A.) 30r - 12 B.) 30r + 13 C.) 12r - 30 D.) 12r + 30

5.OA.2

3.) Ty had 48 more hits during the baseball season than Sean (s) who had 24. Evaluate the expression s + 48, if (s) = 24. Then, explain what your answer represents.

72 The answer represents the total number

of hits for Ty. 5.OA.1

5.) Write the algebraic expression for: 60 people separated into (n) vans.

60 ÷ n 5.OA.2

6.) Write the algebraic expression for: 24 divided by a number (f).

24 ÷ f 5.OA.2

4.) What is the rule for the table?

(g)6 (g times 6)

5.OA.3


g 3 7 8 9

? 18 42 48 54


Answer Key

16a

1.) Solve: 16 – 3 + (8 – 3)2 ÷ 5

3.) Write the algebraic equation for: the length of a football field (L) is 30 yards more than its width. Express the length of the field in terms of its width (w).

5.) Write the algebraic expression for: 21 fewer kids than two times a number (h).

6.) Solve:

9 x (23 ÷ 4 x 5) =

4.) Write the algebraic expression for: 9 more than a number (k).


Input Output

10 ?

13 91

17 119

45 315



17 ©Kristine Nannini www.youngteacherlove.blogspot.com

1.) Solve: 16 – 3 + (8 – 3)2 ÷ 5

18 5.OA.1

3.) Write the algebraic equation for: the length of a football field (L) is 30 yards more than its width. Express the length of the field in terms of its width (w).

w + 30 = L 5.OA.2

5.) Write the algebraic expression for: 21 fewer kids than two times a number (h).

2h - 21 5.OA.2

6.) Solve:

9 x (23 ÷ 4 x 5) =

90 5.OA.1

4.) Write the algebraic expression for: 9 more than a number (k).

k + 9 5.OA.2


Rule: multiply by 7 ? = 70 5.OA.3


Answer Key

Input Output

10 ?

13 91

17 119

45 315

17a ©Kristine Nannini www.youngteacherlove.blogspot.com

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