Relationship Between Patterns
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Expressions and Statements
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100

Sonya writes two number patterns. The table shows the first term and rule for each pattern.

                     First Term                       Rule

Pattern X           1                                Add 3

Pattern Y            ?                            Subtract 4

 

The third term in Pattern Y is 3 times the value of the third term in Pattern X.

 

What is the first term in Pattern Y?

29

100


Match each expression to its value.

                                     0   10  25 

10 + (15 x 0)

10 + 15 x 0

(10 + 15) x 0


10 + (15 x 0) = 10

10 + 15 x 0 = 10

(10 + 15) x 0 = 0

100

Luke and Patty each write a number pattern.

  • Luke’s pattern starts with 4 and follows the rule “Multiply by 2, then subtract 1.”
  • The 4th term in Patty’s pattern is the same as the 5th term in Luke’s pattern.
  • Patty’s pattern follows the rule “Add 9.”

What is the first term in Patty’s pattern?

22

100

A description of an expression is shown.

“double the sum of 8 and 6” 

Select the expression that the description represents.

A) 2 x (8 + 6)

B) 2 + (8 + 6)

C) 1/2 x (8 + 6)

D) 1/2 + (8 + 6)

A) 2 x (8 + 6)

100

An expression is described in words.

“one-half of the sum of 7 and 13 subtracted from 16”

Create the expression described.

16 - 1/2 x (7 + 13)

200


Two patterns are shown.

 

Pattern A            Pattern B  
1                             6  
7                            42
13                          78

 

Which statement describes the relationship between the corresponding terms of Pattern A and Pattern B?

A) Add 5 to each term in Pattern A to get the corresponding term in Pattern B.

B) Add 6 to each term in Pattern A to get the corresponding term in Pattern B.

C) Multiply each term in Pattern A by 6 to get the corresponding term in Pattern B.

D) Multiply each term in Pattern A by 7 to get the corresponding term in Pattern B.






C

200

An expression is shown.

 23 - (9 x 0) + 32

What is the value of the expression?

55

200

Select the expression that represents “add 4 and 2, then multiply by 8.”

A) 4 + 2 x 8

B) 4 x 2 + 8

C) (4 + 2) x 8

D) 4 + (2 x 8)

C) (4 + 2) x 8

200

An expression is shown.

30 - (6 x 4) 

Select the description that represents the expression.

A) 30 minus the quotient of 6 and 4

B) the difference of 30 and 6, multiplied by 4

C) 30 subtracted from the product of 6 and 4

D) the product of 6 and 4 subtracted from 30

D) the product of 6 and 4 subtracted from 30

200


A description of an expression is shown.

“the difference of 12 and 5 multiplied by 18”

Create the expression that the description represents.

(12 - 5) x 18

300

Maurice and Carla each write a number pattern. Maurice’s pattern starts at 87, and the rule is “Subtract 5.” Carla’s pattern is shown.

9, 18, 27, 36, ...

What is the first number that appears in both patterns?

72

300

__ x 1/10 = 7.8

78

300

An expression is shown.

 1211 x 14

What is the value of the expression?

16,954

300

An expression is shown.

 (6 x 5) / (13-3)

Which description best represents the expression?

A) the product of 6 and 5 divided by 3 less than 13

B) the product of 6 and 5 divided by 13 less than 3 

C) the quotient of 13 and 3 divided by the product of 6 and 5 

D) the difference of 3 and 13 divided by the product of 6 and 5

A) the product of 6 and 5 divided by 3 less than 13

300

DAILY DOUBLE

How many zeros are in the product of 3 x 10^5 (10 to the power of 5)

5

400

DAILY DOUBLE


A number pattern is shown.

 44, 33, 22, 11, 0

Which pattern has the same 3rd term as the pattern shown?

A) Start with 5 and follow the rule "Multiply by 2, then add 1."

B) Start with 2 and follow the rule "Multiply by 3, then add 1."

C) Start with 4 and follow the rule "Multiply by 5, then add 2."

D) Start with 6 and follow the rule "Multiply by 4, then subtract 2."

B

400

An expression is shown.

3.75 / 1.5 

What is the value of the expression?

2.5

400

Drag the correct symbol to each box to correctly compare the numbers.

4.01 __ 4.100

7.955 __ 7.559

8.168 __ 8.186

4.01 < 4.100

7.955 > 7.559

8.168 < 8.186

400

DAILY DOUBLE

A description of an expression is shown.

“double the sum of 8 and 6”

Select the expression that the description represents.

A) 2 x (8 + 6)

B) 2 + (8 + 6)

C) 1/2 x (8 + 6)

D) 1/2 + (8 + 6)

A) 2 x (8 + 6)

400

Select all the expressions that have a value of 30.

A) 1200 / 40

B) 2000 / 30

C) 2100 / 70

D) 2700 / 90

E) 3000 / 90

A) 1200 / 40

C) 2100 / 70

D) 2700 / 90

500


Jamal and Tiffany each write a number pattern. Jamal’s pattern is shown.

 


 

Each number in Tiffany’s pattern is double the corresponding number in Jamal’s pattern.

 11, 17, 23, 29

Enter a start value and create a rule to describe Tiffany’s pattern.

Start with _____ and follow the rule "_____ (Choose One: add, subtract, multiply by, divide by.” _____."



22

"add 12"


500

Evaluate the expression 12.7 x (4.23 + 1.97).

78.74

500

An expression is shown.

 Pause below the expression with your pointer. Then click on parentheses to place them in the expression so that its value is 30.

(3 + 7) x (6 - 3)

500


An expression is shown.

30 - (6 X 4)


Select the description that represents the expression.

A) 30 minus the quotient of 6 and 4

B) the different of 30 and 6, multiplied by 4

C) 30 subtracted from the product of 6 and 4

D) the product of 6 and 4 subtracted from 30

D) the product of 6 and 4 subtracted from 30

500

When a number is divided by 10^4 (10 to the power of 4), which phrase describes how the decimal point shifts?

A) four places to the left

B) four places to the right

C) five places to the left

D) five places to the right

A) four places to the left