Here is the step-by-step solution for each problem from 41 to 54, using the given values.
---
41) `y(y + x)`; use `x = 8`, and `y = 7`
Substitute:
= `7(7 + 8)`
= `7(15)`
=
105
✔ Answer: B) 105
---
42) `(m + n) ÷ 4`; use `m = 17`, and `n = 11`
Substitute:
= `(17 + 11) ÷ 4`
= `28 ÷ 4`
=
7
✔ Answer: C) 7
---
43) `y + x ÷ 5`; use `x = 5`, and `y = 7`
Remember PEMDAS: Division before addition.
= `7 + (5 ÷ 5)`
= `7 + 1`
=
8
✔ Answer: D) 8
---
44) `2 + r + p`; use `p = 14`, and `r = 3`
Substitute:
= `2 + 3 + 14`
=
19
✔ Answer: B) 19
---
45) `y(y - x)`; use `x = 6`, and `y = 11`
Substitute:
= `11(11 - 6)`
= `11(5)`
=
55
✔ Answer: D) 55
---
46) `x + y³`; use `x = 2`, and `y = 4`
First, compute exponent:
= `2 + (4³)`
= `2 + 64`
=
66
✔ Answer: A) 66
---
47) `(b - a) ÷ 5`; use `a = 3`, and `b = 8`
Substitute:
= `(8 - 3) ÷ 5`
= `5 ÷ 5`
=
1
✔ Answer: A) 1
---
48) `z + 18y`; use `y = 8`, and `z = 12`
Substitute:
= `12 + 18×8`
= `12 + 144`
=
156
✔ Answer: D) 156
---
49) `(h - j)²`; use `h = 11`, and `j = 4`
Substitute:
= `(11 - 4)²`
= `(7)²`
=
49
✔ Answer: D) 49
---
50) `6 - (p - m)`; use `m = 9`, and `p = 9`
Substitute:
= `6 - (9 - 9)`
= `6 - (0)`
=
6
✔ Answer: A) 6
---
51) `p - n - n`; use `n = 4`, and `p = 16`
This is `p - 2n`
= `16 - 4 - 4`
= `16 - 8`
=
8
✔ Answer: D) 8
---
52) `y(x - 3)`; use `x = 17`, and `y = 5`
Substitute:
= `5(17 - 3)`
= `5(14)`
=
70
✔ Answer: A) 70
---
53) `n + m - m`; use `m = 17`, and `n = 9`
Notice: `+m - m` cancels out.
= `n + 0`
= `9`
✔ Answer: C) 9
---
54) `xy - y`; use `x = 14`, and `y = 9`
Factor or substitute directly:
= `(14 × 9) - 9`
= `126 - 9`
=
117
✔ Answer: A) 117
---
✔ Final Answers:
41)
B
42)
C
43)
D
44)
B
45)
D
46)
A
47)
A
48)
D
49)
D
50)
A
51)
D
52)
A
53)
C
54)
A
Let me know if you’d like these explained in more detail!
Parent Tip: Review the logic above to help your child master the concept of 7th grade algebraic expressions worksheet.
