5.OA.1
Evaluate Expressions
5.OA.2
Write Simple Expressions
5.OA.2
Interpret Numerical Expressions
5.OA.3
Generate Numerical Patterns
5.OA.3
Identify relationships
100

Add a set of parentheses to this expression so the expression has a value of 84.

15 + 6 x 4

( 15 + 6) x 4

100

What is the numerical expression that represents the sum of 15 and the product of 7 and 11?

15 + ( 7 x 11 )

100

Which expression has a value that is 3 times the value of 99−15?

a) 99 - 15 - 3
b) 99 - 15 + 3
c) (99 - 15) x 3
d) (99 - 15) ÷ 3

c) (99 - 15) x 3

100

Patterns G and H are made using these rules.

  • Pattern G: Start with 4 and add 6.
  • Pattern H: Start with 10 and subtract 2. 

Pattern G:  

4,10,16,...


Pattern H:  

10,8,6,...


What is the fourth term for each pattern?

Pattern G: 22

Pattern H: 4

100

What ordered pairs can you make from this table?

Pattern x:  

4,10,16,...

Pattern y:  

10,8,6,...

(4, 10) (10,8) (16, 6)

200


What is the value of the expression?


15 + 30 ÷ 5 × (3−1)


27

200

What is the numerical expression for the difference between 57 and the sum of 18 and 24?

57 - (18 + 24)

200

Which expression has a value that is greater than 72 × 12 + 4 ?

a) 72 x 12 x 4
b) 72 x 12 ÷ 6
c) 72 + 72 + 4

a) 72 x 12 x 4

200

The relationship between x and y is shown in the table.

x: 1, 3,  5,   7, ...

y: 2, 6, 10, 14 ...

Based on the pattern, what are the numbers in the next term?

9 and 18

200

What relationship do you notice between patterns?

Pattern S: 3, 6, 9, 12
Pattern T: 6, 12, 18, 24

Each term in Pattern T is __________ the value of the corresponding term in Pattern S.

2 times

300

Consider this expression.


4+6×8÷4


Raymond is exploring how the value of the expression changes when parentheses are placed in different locations.

Which expression has a value of 

20?

a)  4 + (6 x 8) ÷ 4
b) (4 + 6 x 8) ÷ 4
c)  4 + 6 x (8 ÷ 4)
d) (4 + 6) x (8 ÷ 4)


d) (4 + 6) x (8 ÷ 4)

300

Which expression shows twice the difference between 274 and 187?

a) (2 x 187) - 274
b) 2 x 274 - 187
c) 274 - 187 x 2
d) (274 - 187) x 2

d) (274 - 187) x 2

300

Which TWO expression have a value more than 42×17?

Select the TWO correct expressions. 

a) 42 x 17 ÷ 1
b) 42 x 17 x 5
c) 42 x 17 x 1
d) 42 x 17 - 9
e) 42 x 17 + 9
f) 42 x 17 ÷ 5

b) 42 x 17 x 5
e) 42 x 17 + 9

300

Bella and Joy each created a number pattern.

  • Bella used the rule "Multiply by 2" and the starting number 2.
  • Joy used the rule "Add 4" and the starting number 4.

Write the pattern that shows the first 

5 numbers generated by Bella's rule and Joy's rule.


Bella: 2, 4, 8, 16, 32

Joy: 4, 8, 12, 16, 20

300

The table shows 2 numerical patterns.

Pattern A:   0,      3,      6

Pattern B:   0,      6,     12

Which statement describes the relationship between corresponding terms of the 2 patterns?

a) Each term in Pattern B is 6 more than the corresponding term in Pattern A.
b) Each term in Pattern B is 3 more than the corresponding term in Pattern A.
c) Each term in Pattern B is half as much as the corresponding term in Pattern A.
d) Each term in Pattern B is twice as much as the corresponding term in Pattern A.

d) Each term in Pattern B is twice as much as the corresponding term in Pattern A.

400

Consider this expression.


20+36÷4+8


Where should grouping symbols be placed in the expression to give it a value of 

23?


20+36÷(4+8)

400
Which expression matches the statement, “Add 7 and 3, then multiply the sum by the difference of 12 and 5”?


a) (7 + 3) x (12 - 5)
b) (7 + 3) x (5 - 12)
c) 
(7 + 3) x 12 - 5
d)
7 + 3 x (12 - 5)

a) (7 + 3) x (12 - 5)

400

Choose the answer that shows a fifth of the difference.

14,891 - 755


a) (14,891 - 755) ÷ 5
b) 5 + (14,891 - 755)
c) (14,891 - 755) - 5
d) 5 x (14,891 - 755)

a) (14,891 - 755) ÷ 5

400

The table shows 2 number patterns. The first 3 terms of each pattern are shown.

Add 5
x: 5,  10,  15,  ? ,   ?

Add 2
y: 2,  4,   6,   ?,   ?

Both patterns continue. What table shows the 2 missing numbers from each pattern?

x: 20, 25

y: 8, 10

400

The owner of a music store has noticed there is a relationship between the number of hours the store is open each week and the total sales in dollars. The relationship is always the same, no matter how many hours the store is open.

The table shows the relationship. It is missing 

1 value.

Time Open (Hours)

10,       20,      30,        40,        50,   

Sales (Dollars)

700,      ?,      2,100,    2,800,    3,500

$1400

500

In solving expressions involving addition and multiplication, when is it appropriate to complete the addition before the multiplication?

a) The addition is never done before multiplication.

b) Complete the addition first when it is the first operation in the expression.

c) The addition is always done before the multiplication.

d) Complete the addition first when it is inside the parentheses.

d) Complete the addition first when it is inside the parentheses.

500

Write the following as a numerical expression:

 "The sum of 42 and 26, subtracted from 105."

105 - (42 + 26) 

500

Write the sentence that describes the expression (156+79)÷3?

a) The value of the expression is 3 times the sum of 156 and 79.
b) The value of the expression is a third more than the sum of 156 and 79.
c) The value of the expression is 3 more than the sum of 156 and 79.
d) The value of the expression is a third of the sum of 156 and 79.

d) The value of the expression is a third of the sum of 156 and 79.

500

Vincent and Natalia are making a pattern of numbers using different rules.

  • Vincent's Rule: Start at 6 and add 2.
  • Natalia's Rule: Start at 1 and multiply by 4

What is the first number in Vincent's pattern that also appears in Natalia's pattern?

16

500

Look at the descriptions of 

2 patterns:


  • Pattern P: Start with 24 and use the rule "Subtract 4."
  • Pattern Q: Start with 12 and use the rule "Subtract 2."

Which statement describes the relationship between the corresponding terms of Pattern P and Pattern Q?

a) Each term in Pattern Q can be calculated by multiplying the value of the corresponding term in Pattern P by 2.
b) Each term in Pattern P can be calculated by subtracting 4 from the corresponding term in Pattern Q.
c) Each term in Pattern P can be calculated by adding 12 to the corresponding term in Pattern Q.
d) Each term in Pattern Q can be calculated by dividing the value of the corresponding term in Pattern P by 2.

d) Each term in Pattern Q can be calculated by dividing the value of the corresponding term in Pattern P by 2.

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