Evaluate the expression
15
x
+
4
for
x
=
−
1
1
2
.
A.
−
18
1
2
B.
−
17
1
2
C.
20
1
2
D.
26
1
2
B. -17 1/2
To evaluate the expression 15x + 4 for x = -11/2, substitute the value of x into the expression:
15(-11/2) + 4
Using the order of operations, perform the multiplication first:
= -165/2 + 4
Next, add the two fractions:
= (-165 + 8) / 2
= -157/2
The simplified result is -157/2, which is equivalent to -78.5.
Therefore, the correct answer is A. -18 1/2.
To evaluate the expression 15x + 4 for x = -11/2, you need to substitute the value of x into the expression and perform the calculation.
Step 1: Substitute x = -11/2 into the expression: 15(-11/2) + 4
Step 2: Simplify the expression within the parentheses: -165/2 + 4
Step 3: Find a common denominator to add or subtract fractions. The common denominator is 2.
Step 4: Convert 4 to the fraction with a denominator of 2: 4 = 4/1
Step 5: Add the fractions: -165/2 + 4/1
Step 6: Convert the whole number to a fraction with a denominator of 2: -165/2 + 8/2
Step 7: Add the fractions: -165/2 + 8/2 = (-165+8)/2 = -157/2
The expression evaluates to -157/2, which is equivalent to -78.5. Therefore, the correct answer is option B: -17 1/2.