Question

Evaluate each expression for g = -7 and h = 3 and match it to its value.

1. gh
2. g2 - h
3. g + h2
4. g + h
5. h - g
6. g - h

Answer 1

1) - 21

2) 46

3) 2

4) -4

5) 10

6) -10

Explanation:

• g = -7
• h = 3

`1)gh = - 7(3) \\ \: \: \: \: \: \: = - 21`

`2){g}^(2) - h = ( - 7 {)}^(2) - 3 \\ \: \: \: \: \: \: \: \: \: \: \: = 49 - 3 \\ \: \: \: = 46`

`3)g + {h}^(2) = - 7 + {3}^(2) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 7 + 9 \\ \: \: \: \: = 2`

`4)g + h = - 7 + 3 \\ \: \: \: \: \: \: \: = - 4`

`5)h - g = 3 - ( - 7) \\ \: \: = 10`

`6)g - h = - 7 - 3 \\ \: \: \: \: \: \: \: \: \: \: = - 10`

Answer 2

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h = -4

5. h - g = 10

6. g - h = -10

Explanation:

Given values of g and h are:

g = -7

h = 3

1. gh

The two numbers are being multiplied

Putting the values

`gh = (-7)(3) = -21`

2. g^2-h

Putting the values

`=(-7)^2-3\\=49-3\\=46`

3. g+h^2

Putting the values

`= -7 + (3)^2\\=-7+9\\=2`

4. g+h

Putting the values

`= -7+3\\=-4`

5. h-g

Putting the values

`= 3 - (-7)\\=3+7\\=10`

6. g-h

Putting values

`=-7-3\\=-10`

Hence,

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h = -4

5. h - g = 10

6. g - h = -10