Kevin wants to buy a video game for $45. he also wants to buy 2 game
controllers. each controller costs the same amount. he has a total of $120
to spend. write and solve an inequality to find how much kevin can spend
on each controller.

The inequality is 45 + 2x < 120.

Solution:

Given a cost of video game = $45

Number of game controllers bought = 2

Each controller costs the same amount.

Total amount to spend = $120

Let x be taken the cost of game controller.

So, 45 + 2x < 120

Subtract 45 on both sides of the inequality.

⇒ 45 + 2x – 45 < 120 – 45

⇒ 45 – 45 + 2x  < 120 – 45

⇒ 2x  < 75

Divide by 2 on both sides of the inequality, we get

⇒

Hence, Kevin spend $ for each game controller.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116