evaluate each expression for n = 7, x = 4, y = 8, and z = 1. 5. 12x - 7 6. x² ÷ y 7. 5z + 3n - z³ 8. y² ÷ 2x + 3n - z

Question

Accepted Answer

### Problem 5: $12x - 7$
# Explanation:
## Step1: Substitute $x = 4$
$12\times4 - 7$
## Step2: Calculate multiplication
$48 - 7$
## Step3: Calculate subtraction
$41$
# Answer:
$41$

### Problem 6: $x^{2}\div y$
# Explanation:
## Step1: Substitute $x = 4$, $y = 8$
$4^{2}\div8$
## Step2: Calculate exponentiation
$16\div8$
## Step3: Calculate division
$2$
# Answer:
$2$

### Problem 7: $5z + 3n - z^{3}$
# Explanation:
## Step1: Substitute $n = 7$, $z = 1$
$5\times1 + 3\times7 - 1^{3}$
## Step2: Calculate multiplications and exponentiation
$5 + 21 - 1$
## Step3: Calculate additions and subtractions
$25$
# Answer:
$25$

### Problem 8: $y^{2}\div2x + 3n - z$
# Explanation:
## Step1: Substitute $n = 7$, $x = 4$, $y = 8$, $z = 1$
$8^{2}\div(2\times4)+ 3\times7 - 1$
## Step2: Calculate exponentiation, multiplication
$64\div8 + 21 - 1$
## Step3: Calculate division
$8 + 21 - 1$
## Step4: Calculate additions and subtractions
$28$
# Answer:
$28$

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QUESTION IMAGE

Question

Explanation:

Problem 5: \(12x - 7\)

Step1: Substitute \(x = 4\)

Step2: Calculate multiplication

Step3: Calculate subtraction

Step1: Substitute \(x = 4\), \(y = 8\)

Step2: Calculate exponentiation

Step3: Calculate division

Step1: Substitute \(n = 7\), \(z = 1\)

Step2: Calculate multiplications and exponentiation

Step3: Calculate additions and subtractions

Answer:

Problem 6: \(x^{2}\div y\)