Scroll:Exponents >> Simplify expressions involving exponents >> saq (4065)

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:

42 x -3


Answer:_______________




2)  

 Evaluate:

(-6)2 + -1


Answer:_______________




3)  

 Evaluate:

(-6)2 - 3


Answer:_______________




4)  

 Evaluate:

62 x -4


Answer:_______________




5)  

 Evaluate:

(-6)2 + -7


Answer:_______________




6)  

 Evaluate:

(-3)2 - 6


Answer:_______________




7)  

 Evaluate:

52 x -3


Answer:_______________




8)  

 Evaluate:

(-3)2 + -7


Answer:_______________




9)  

 Evaluate:

(-3)2 - 1


Answer:_______________




10)  

 Evaluate:

32 x -2


Answer:_______________




 

1)  

 Evaluate:

42 x -3

Answer: -48


SOLUTION 1 :

Remember:

Order of operations:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction


You can use the sentence "Please Excuse My Dear Aunt Sally" to help you remember.

Step 1: Do operations inside brackets.

There are no operations inside brackets. Go on to step 2.


Step 2: Evaluate exponents.

42 x -3

16 x -3

 

Step 3: Multiply and divide from left to right.

There are no multiplication or division signs. Go on to step 4.


Step 4: Add and subtract from left to right.

16 x -3

-48

So:

42 x -3 = -48



2)  

 Evaluate:

(-6)2 + -1

Answer: 35


SOLUTION 1 :

Remember:

Order of operations:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction


You can use the sentence "Please Excuse My Dear Aunt Sally" to help you remember.

Step 1: Do operations inside brackets.

There are no operations inside brackets. Go on to step 2.


Step 2: Evaluate exponents.

(-6)2 + -1

36 + -1

 

Step 3: Multiply and divide from left to right.

There are no multiplication or division signs. Go on to step 4.


Step 4: Add and subtract from left to right.

36 + -1

35

So:

(-6)2 + -1 = 35



3)  

 Evaluate:

(-6)2 - 3

Answer: 33


SOLUTION 1 :

Remember:

Order of operations:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction


You can use the sentence "Please Excuse My Dear Aunt Sally" to help you remember.

Step 1: Do operations inside brackets.

There are no operations inside brackets. Go on to step 2.


Step 2: Evaluate exponents.

(-6)2 –3

36 – 3

 

Step 3: Multiply and divide from left to right.

There are no multiplication or division signs. Go on to step 4.


Step 4: Add and subtract from left to right.

36 – 3

33

So:

(-6)2 – 3 = 33



4)  

 Evaluate:

62 x -4

Answer: -144


SOLUTION 1 :

Remember:

Order of operations:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction


You can use the sentence "Please Excuse My Dear Aunt Sally" to help you remember.

Step 1: Do operations inside brackets.

There are no operations inside brackets. Go on to step 2.


Step 2: Evaluate exponents.

62 x -4

36 x -4

 

Step 3: Multiply and divide from left to right.

There are no multiplication or division signs. Go on to step 4.


Step 4: Add and subtract from left to right.

36 x -4

-144

So:

62 x -4 = -144



5)  

 Evaluate:

(-6)2 + -7

Answer: 29


SOLUTION 1 :

Remember:

Order of operations:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction


You can use the sentence "Please Excuse My Dear Aunt Sally" to help you remember.

Step 1: Do operations inside brackets.

There are no operations inside brackets. Go on to step 2.


Step 2: Evaluate exponents.

(-6)2 + -7

36 + -7

 

Step 3: Multiply and divide from left to right.

There are no multiplication or division signs. Go on to step 4.


Step 4: Add and subtract from left to right.

36 + -7

29

So:

(-6)2 + -7 = 29



6)  

 Evaluate:

(-3)2 - 6

Answer: 3


SOLUTION 1 :

Remember:

Order of operations:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction


You can use the sentence "Please Excuse My Dear Aunt Sally" to help you remember.

Step 1: Do operations inside brackets.

There are no operations inside brackets. Go on to step 2.


Step 2: Evaluate exponents.

(-3)2 –6

9 – 6

 

Step 3: Multiply and divide from left to right.

There are no multiplication or division signs. Go on to step 4.


Step 4: Add and subtract from left to right.

9 – 6

3

So:

(-3)2 – 6 = 3



7)  

 Evaluate:

52 x -3

Answer: -75


SOLUTION 1 :

Remember:

Order of operations:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction


You can use the sentence "Please Excuse My Dear Aunt Sally" to help you remember.

Step 1: Do operations inside brackets.

There are no operations inside brackets. Go on to step 2.


Step 2: Evaluate exponents.

52 x -3

25 x -3

 

Step 3: Multiply and divide from left to right.

There are no multiplication or division signs. Go on to step 4.


Step 4: Add and subtract from left to right.

25 x -3

-75

So:

52 x -3 = -75



8)  

 Evaluate:

(-3)2 + -7

Answer: 2


SOLUTION 1 :

Remember:

Order of operations:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction


You can use the sentence "Please Excuse My Dear Aunt Sally" to help you remember.

Step 1: Do operations inside brackets.

There are no operations inside brackets. Go on to step 2.


Step 2: Evaluate exponents.

(-3)2 + -7

9 + -7

 

Step 3: Multiply and divide from left to right.

There are no multiplication or division signs. Go on to step 4.


Step 4: Add and subtract from left to right.

9 + -7

2

So:

(-3)2 + -7 = 2



9)  

 Evaluate:

(-3)2 - 1

Answer: 8


SOLUTION 1 :

Remember:

Order of operations:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction


You can use the sentence "Please Excuse My Dear Aunt Sally" to help you remember.

Step 1: Do operations inside brackets.

There are no operations inside brackets. Go on to step 2.


Step 2: Evaluate exponents.

(-3)2 –1

9 – 1

 

Step 3: Multiply and divide from left to right.

There are no multiplication or division signs. Go on to step 4.


Step 4: Add and subtract from left to right.

9 – 1

8

So:

(-3)2 – 1 = 8



10)  

 Evaluate:

32 x -2

Answer: -18


SOLUTION 1 :

Remember:

Order of operations:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction


You can use the sentence "Please Excuse My Dear Aunt Sally" to help you remember.

Step 1: Do operations inside brackets.

There are no operations inside brackets. Go on to step 2.


Step 2: Evaluate exponents.

32 x -2

9 x -2

 

Step 3: Multiply and divide from left to right.

There are no multiplication or division signs. Go on to step 4.


Step 4: Add and subtract from left to right.

9 x -2

-18

So:

32 x -2 = -18