Question

Evaluate the equation at the given value

a. 2x+3 ; x =-
b. -- ; a = 1
c. 3t -1.897 ; t = 5
d. }(2x + 8) – }(x +12): 136
e. -3h + h -1 ; h=2

Answer 1

The evaluated values are:

a. 1

b. 9

c. 13.103

d. 2

e. -5

Step-by-step explanation:

Let's evaluate each expression step by step:

a. For the expression (2x + 3\) with (x = -1):
Substitute (x) with (-1):
(2(-1) + 3

Now perform the multiplication:
(-2 + 3)

Finally, add the numbers together: 1

So, the result of expression a is \(1\).

b. For the expression (4a + 5) with (a = 1):

Substitute (a) with (1):
(4(1) + 5\)

Now perform the multiplication:
(4 + 5)

Finally, add the numbers together: 9

So, the result of expression b is 9.

c. For the expression (3t - 1.897) with (t = 5):

Substitute t with (5):
(3(5) - 1.89)

Now perform the multiplication:
(15 - 1.897)

Finally, subtract the numbers:
(15 - 1.897 = 13.103)

So, the result of expression c is \(13.103\).

d. For the expression ((2x + 8) - (x + 12)) with (x = 6):

First, substitute x with 6 in both parts of the expression:
((2(6) + 8) - ((6) + 12)

Now perform the multiplication and addition within the parentheses:
((12 + 8) - (6 + 12)

Next, add the numbers within the parentheses:
((20) - (18))

Finally, subtract the two values:
(20 - 18 = 2

So, the result of expression d is 2.

e. For the expression (-3h + h - 1) with h=2:

Substitute h with 2:
-3(2) + (2) - 1

Now perform the multiplication:
(-6 + 2 - 1)

Finally, add and subtract the numbers accordingly:
-6 + 2 = -4
-4 - 1 = -5

So, the result of expression e is -5.

Complete question:

Evaluate the equation at the given value

a. 2x+3 ; x = -1

b. 4a + 5 ; a = 1

c. 3t -1.897 ; t = 5

d. (2x + 8) - (x +12): x = 6

e. -3h + h -1 ; h=2