Solve equations of the form p(x + q) = r

Question 1

Arjun buys 7 cinema tickets. Each ticket costs p plus a $5 booking fee. The total is $91. Solve 7(p + 5) = 91 to find p.

p = 

Question 2

Solve: 6(x − 9) = −72

x = 

Question 3

Solve: −4(x − 2) = −24

x = 

Question 4

Zara buys 4 cinema tickets. Each ticket costs p plus a $9 booking fee. The total is $84. Solve 4(p + 9) = 84 to find p.

p = 

Question 5

Solve: 4(x − 2) = −28

x = 

Question 6

Solve: −6(x − 5) = 72

x = 

Question 7

Maya buys 6 cinema tickets. Each ticket costs p plus a $6 booking fee. The total is $90. Solve 6(p + 6) = 90 to find p.

p = 

Question 8

Solve: 4(x − 8) = −36

x = 

Question 9

Solve: −6(x − 1) = 24

x = 

Question 10

Nia buys 3 cinema tickets. Each ticket costs p plus a $6 booking fee. The total is $63. Solve 3(p + 6) = 63 to find p.

p = 

Question 11

Solve: 5(x + 8) = 75

x = 

Question 12

Solve: −6(x − 2) = 48

x = 

Question 13

Kai buys 5 cinema tickets. Each ticket costs p plus a $3 booking fee. The total is $85. Solve 5(p + 3) = 85 to find p.

p = 

Question 14

Solve: 4(x + 9) = 80

x = 

Question 15

Solve: −4(x − 5) = 20

x = 

Question 16

Mei buys 4 cinema tickets. Each ticket costs p plus a $2 booking fee. The total is $40. Solve 4(p + 2) = 40 to find p.

p =