Scroll:Algebra >> Simplify expressions using order of operations and parentheses >> saq (3758)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

 Evaluate:

7 + 5 × 5 × 9


Answer:_______________




2)  

 Evaluate:

6 ÷ 3 + 3 + 5


Answer:_______________




3)  

 Evaluate:

7 + 4 ÷ 2 × 5


Answer:_______________




4)  

 Evaluate:

9 – 2 × 1 + 3


Answer:_______________




5)  

 Evaluate:

9 × 9 – 4 × 5


Answer:_______________




6)  

 Evaluate:

3 + 3 × 6 × 8


Answer:_______________




7)  

 Evaluate:

2 ÷ 2 + 2 + 2


Answer:_______________




8)  

 Evaluate:

5 + 4 ÷ 4 × 8


Answer:_______________




9)  

 Evaluate:

9 – 1 × 3 + 5


Answer:_______________




10)  

 Evaluate:

7 × 7 – 4 × 2


Answer:_______________




 

1)  

 Evaluate:

7 + 5 × 5 × 9

Answer: 232


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

7 + 5 × 5 × 9

7 + 25 × 9

7 + 25 × 9

7 + 225

 

Step 2: Add and subtract from left to right.

7 + 225

232

So:

7 + 5 × 5 × 9 = 232
 



2)  

 Evaluate:

6 ÷ 3 + 3 + 5

Answer: 10


SOLUTION 1 :

Remember:

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Solve:

Step 1: Multiply and divide from left to right.

6 ÷ 3 + 3 + 5

2 + 3 + 5

 

Step 2 : Add and subtract from left to right.

2 + 3 + 5

5 + 5

5 + 5

10

So:

6 ÷ 3 + 3 + 5 = 10
 



3)  

 Evaluate:

7 + 4 ÷ 2 × 5

Answer: 17


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

7 + 4 ÷ 2 × 5

7 + 2 × 5

7 + 2 × 5

7 + 10

 

Step 2: Add and subtract from left to right.

7 + 10

17

So:

7 + 4 ÷ 2 × 5 = 17
 



4)  

 Evaluate:

9 – 2 × 1 + 3

Answer: 10


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

9 – 2 × 1 + 3

9 – 2 + 3

 

Step 2: Add and subtract from left to right.

9 – 2 + 3

7 + 3

7+ 3

10

So:

9 – 2 × 1 + 3 = 10
 



5)  

 Evaluate:

9 × 9 – 4 × 5

Answer: 61


SOLUTION 1 :

Remember:

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

9 × 9 – 4 × 5

81 – 4 × 5

81 – 4 × 5

36 – 20

 

Step 2: Add and subtract from left to right.

81 – 20

61

So:

9 × 9 – 4 × 5 = 61
 



6)  

 Evaluate:

3 + 3 × 6 × 8

Answer: 147


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

3 + 3 × 6 × 8

3 + 18 × 8

3 + 18 × 8

3 + 144

 

Step 2: Add and subtract from left to right.

3 + 144

147

So:

3 + 3 × 6 × 8 = 147
 



7)  

 Evaluate:

2 ÷ 2 + 2 + 2

Answer: 5


SOLUTION 1 :

Remember:

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Solve:

Step 1: Multiply and divide from left to right.

2 ÷ 2 + 2 + 2

1 + 2 + 2

 

Step 2 : Add and subtract from left to right.

1 + 2 + 2

3 + 2

3 + 2

5

So:

2 ÷ 2 + 2 + 2 = 5
 



8)  

 Evaluate:

5 + 4 ÷ 4 × 8

Answer: 13


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

5 + 4 ÷ 4 × 8

5 + 1 × 8

5 + 1 × 8

5 + 8

 

Step 2: Add and subtract from left to right.

5 + 8

13

So:

5 + 4 ÷ 4 × 8 = 13
 



9)  

 Evaluate:

9 – 1 × 3 + 5

Answer: 11


SOLUTION 1 :

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

9 – 1 × 3 + 5

9 – 3 + 5

 

Step 2: Add and subtract from left to right.

9 – 3 + 5

6 + 5

6+ 5

11

So:

9 – 1 × 3 + 5 = 11
 



10)  

 Evaluate:

7 × 7 – 4 × 2

Answer: 41


SOLUTION 1 :

Remember:

Order of operations:

1. Multiplication and division
2. Addition and subtraction

Step 1: Multiply and divide from left to right.

7 × 7 – 4 × 2

49 – 4 × 2

49 – 4 × 2

36 – 8

 

Step 2: Add and subtract from left to right.

49 – 8

41

So:

7 × 7 – 4 × 2 = 41