Using Patterns To Solve Problems

Select the false statement

a. 84 ÷ 7 = 70 – 58

b. 9 x 12 = 99 + 9

c. 80 – 26 = 8 x 8

d. 72 ÷ 12 = 2 x 3

• a. 84 ÷ 7 = 70 – 58

• b. 9 x 12 = 99 + 9

• c. 80 – 26 = 8 x 8

• d. 72 ÷ 12 = 2 x 3

Answer explanation

80-26=54

8x8=64

FALSE!!!

Select all the equations that are true.

a. 23 + 12 = 24 + 11

b. 67-30 = 77- 40

c. 6 x 5 = 15 + 15

d. 8 x 4 = 16 + 16

• a. 23 + 12 = 24 + 11

• b. 67-30 = 77- 40

• c. 6 x 5 = 15 + 15

• d. 8 x 4 = 16 + 16

Use this equation 36 + n = 46 + 12

Select the statement that completes the argument. 36 is 10 less than 46, so n must be…

a. 10 less than 12

b. Equal to 46 + 12

c. 10 more than 12

d. Equal to 36 + 12

• a. 10 less than 12

• b. Equal to 46 + 12

• c. 10 more than 12

• d. Equal to 36 + 12

Answer explanation

36 + n= 46+12

36 is 10 less than 46. So for them to be equal, n has to be 10 more than 12.

36+22=58

46+12=58

Select why this equation is true or false without adding. 27 - 18 = 24 - 15

a. True, because both 27, 18, 24 and 15 are multiples of 3.

b. True, because if we compare 27 to 18 and 24 and 15, they are exactly the same distance apart on the number line.

c. False, because 27-18 does not equal 15.

d. False, because if 3 is subtracted from 27 to get 24, 24 and 18 would not equal 24 and 15.

• a. True, because both 27, 18, 24 and 15 are multiples of 3.

• b. True, because if we compare 27 to 18 and 24 and 15, they are exactly the same distance apart on the number line.

• c. False, because 27-18 does not equal 15.

• d. False, because if 3 is subtracted from 27 to get 24, 24 and 18 would not equal 24 and 15.

Answer explanation

27-18=9

24-15=9

The Smith family wants to go to Fun Spot. Tickets are on sale $11 for each adult pass and $6 for each child. Arcade cards are an additional $20 per family. If the Smith family has two adults and three children, which equation could be used to solve for the total cost (c) of their trip?

a. c = (2 x 11) + (3 x 6) + 20

b. c = (2 + 11) + (3 + 6) + 20

c. c = (2 + 11) x (3 + 6)

d. c = (2 x 11) + (3 x 6)

• a. c = (2 x 11) + (3 x 6) + 20

• b. c = (2 + 11) + (3 + 6) + 20

• c. c = (2 + 11) x (3 + 6)

• d. c = (2 x 11) + (3 x 6)

Answer explanation

2 adults= 2x11

3 children=3x6

1 family arcade card=20

(2x11)+(3x6)+20

The table below shows the number of toy cars the boys have.

Name Number of cars

Noah 8

Luca 9 times as many cars as Noah

Which equation uses the information in the table to represent the numbers of cars Luca has?

• a. 9 ÷ 8 = ?

• b. 9 – 8 = ?

• c. 9 + 8 = ?

• d. 9 x 8 = ?

Answer explanation

Lucca has 9 times more than Noah. 9x8

Jordan has 3 times as many cousins as Katie as shown in the model.

Katie ?

Jordan ? ? ?

Total 15

Which equation can be used to find the number of cousins Katie has?

• a. 3 x 15 = ?

• b. 15 – 3 = ?

• c. 3 + ? = 15

• d. 15 ÷ 3 = ?

Answer explanation

There are a total 15 cousins.

Katie has ?

Jordan has 3 times as many cousins as Katie.

So, you would have to divide the total amount of cousins (15) by 3.

Levi has 49 toy cars. Chase has t toy cars. Levi has 7 times as many toy cars as Chase. Chose the equation that correctly represents the number of cars Chase has

• a. 7 + t = 49

• b. 7 x t = 49

• c. 49 – 7 = t

• d. 7 x 49 = t

What is the missing factor for the equation below?

x 10 = 110

What is the missing factor for the equation below?

6 = 42 ÷ ?

Answer explanation

6x7=42