301 Moved Permanently - Free Printable

Let's solve each problem step by step.

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Problem 41: \( y(y + x) \); use \( x = 8 \), and \( y = 7 \)

1. Substitute \( x = 8 \) and \( y = 7 \):
\[
y(y + x) = 7(7 + 8)
\]
2. Simplify inside the parentheses:
\[
7 + 8 = 15
\]
3. Multiply:
\[
7 \times 15 = 105
\]

Answer: B) 105

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Problem 42: \( (m + n) \div 4 \); use \( m = 17 \), and \( n = 11 \)

1. Substitute \( m = 17 \) and \( n = 11 \):
\[
(m + n) \div 4 = (17 + 11) \div 4
\]
2. Simplify inside the parentheses:
\[
17 + 11 = 28
\]
3. Divide:
\[
28 \div 4 = 7
\]

Answer: C) 7

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Problem 43: \( y + x \div 5 \); use \( x = 5 \), and \( y = 7 \)

1. Substitute \( x = 5 \) and \( y = 7 \):
\[
y + x \div 5 = 7 + 5 \div 5
\]
2. Perform the division first (order of operations):
\[
5 \div 5 = 1
\]
3. Add:
\[
7 + 1 = 8
\]

Answer: D) 8

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Problem 44: \( 2 + r + p \); use \( p = 14 \), and \( r = 3 \)

1. Substitute \( p = 14 \) and \( r = 3 \):
\[
2 + r + p = 2 + 3 + 14
\]
2. Add step by step:
\[
2 + 3 = 5
\]
\[
5 + 14 = 19
\]

Answer: B) 19

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Problem 45: \( y(y - x) \); use \( x = 6 \), and \( y = 11 \)

1. Substitute \( x = 6 \) and \( y = 11 \):
\[
y(y - x) = 11(11 - 6)
\]
2. Simplify inside the parentheses:
\[
11 - 6 = 5
\]
3. Multiply:
\[
11 \times 5 = 55
\]

Answer: D) 55

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Problem 46: \( x + y^3 \); use \( x = 2 \), and \( y = 4 \)

1. Substitute \( x = 2 \) and \( y = 4 \):
\[
x + y^3 = 2 + 4^3
\]
2. Calculate \( 4^3 \):
\[
4^3 = 4 \times 4 \times 4 = 64
\]
3. Add:
\[
2 + 64 = 66
\]

Answer: A) 66

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Problem 47: \( (b - a) \div 5 \); use \( a = 3 \), and \( b = 8 \)

1. Substitute \( a = 3 \) and \( b = 8 \):
\[
(b - a) \div 5 = (8 - 3) \div 5
\]
2. Simplify inside the parentheses:
\[
8 - 3 = 5
\]
3. Divide:
\[
5 \div 5 = 1
\]

Answer: A) 1

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Problem 48: \( z + 18y \); use \( y = 8 \), and \( z = 12 \)

1. Substitute \( y = 8 \) and \( z = 12 \):
\[
z + 18y = 12 + 18 \times 8
\]
2. Multiply:
\[
18 \times 8 = 144
\]
3. Add:
\[
12 + 144 = 156
\]

Answer: D) 156

---

Problem 49: \( (h - j)^2 \); use \( h = 11 \), and \( j = 4 \)

1. Substitute \( h = 11 \) and \( j = 4 \):
\[
(h - j)^2 = (11 - 4)^2
\]
2. Simplify inside the parentheses:
\[
11 - 4 = 7
\]
3. Square:
\[
7^2 = 49
\]

Answer: D) 49

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Problem 50: \( 6 - (p - m) \); use \( m = 9 \), and \( p = 9 \)

1. Substitute \( m = 9 \) and \( p = 9 \):
\[
6 - (p - m) = 6 - (9 - 9)
\]
2. Simplify inside the parentheses:
\[
9 - 9 = 0
\]
3. Subtract:
\[
6 - 0 = 6
\]

Answer: A) 6

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Problem 51: \( p - n - n \); use \( n = 4 \), and \( p = 16 \)

1. Substitute \( n = 4 \) and \( p = 16 \):
\[
p - n - n = 16 - 4 - 4
\]
2. Subtract step by step:
\[
16 - 4 = 12
\]
\[
12 - 4 = 8
\]

Answer: D) 8

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Problem 52: \( y(x - 3) \); use \( x = 17 \), and \( y = 5 \)

1. Substitute \( x = 17 \) and \( y = 5 \):
\[
y(x - 3) = 5(17 - 3)
\]
2. Simplify inside the parentheses:
\[
17 - 3 = 14
\]
3. Multiply:
\[
5 \times 14 = 70
\]

Answer: A) 70

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Problem 53: \( n + m - m \); use \( m = 17 \), and \( n = 9 \)

1. Substitute \( m = 17 \) and \( n = 9 \):
\[
n + m - m = 9 + 17 - 17
\]
2. Simplify:
\[
9 + 17 = 26
\]
\[
26 - 17 = 9
\]

Answer: C) 9

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Problem 54: \( xy - y \); use \( x = 14 \), and \( y = 9 \)

1. Substitute \( x = 14 \) and \( y = 9 \):
\[
xy - y = 14 \times 9 - 9
\]
2. Multiply:
\[
14 \times 9 = 126
\]
3. Subtract:
\[
126 - 9 = 117
\]

Answer: A) 117

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Final Answers:

\[
\boxed{
\begin{array}{ll}
41. & \text{B) 105} \\
42. & \text{C) 7} \\
43. & \text{D) 8} \\
44. & \text{B) 19} \\
45. & \text{D) 55} \\
46. & \text{A) 66} \\
47. & \text{A) 1} \\
48. & \text{D) 156} \\
49. & \text{D) 49} \\
50. & \text{A) 6} \\
51. & \text{D) 8} \\
52. & \text{A) 70} \\
53. & \text{C) 9} \\
54. & \text{A) 117} \\
\end{array}
}
\]