Answer:
6. [tex]x=36[/tex]
7. [tex]x=-5[/tex]
8. [tex]x=4[/tex]
9. [tex]x=60[/tex]
Step-by-step explanation:
6. The quotient of a number and -4 is -9
"The quotient of a number and -4" can be translated to [tex]\frac{x}{-4}[/tex]
"Is -9" can be translated to [tex]=-9[/tex]
This means that the problem can be written as [tex]-\frac{x}{4} =-9[/tex]
To solve for x, we need to multiply each side by -4.
[tex]x=36[/tex]
7. Twice a number is -10
"Twice a number" can be translated to [tex]2x[/tex]
"Is -10" can be translated to [tex]=-10[/tex]
This means that our equation is [tex]2x=-10[/tex]
To solve for x, we need to divide each side by 2
[tex]x=-5[/tex]
8. Three times a number is 12
"Three times a number" can be translated to [tex]3x[/tex]
"Is 12" can be translated to [tex]=12[/tex]
This means that our equation is [tex]3x=12[/tex]
To solve for x, we need to divide each side by 3
[tex]x=4[/tex]
9. Cade has a football trading card collection. He decided to share his collection with 5 of his friends. If each friend received 12 cards, how many cards did Cade have to share with his friends?
"Share his collection with 5 of his friends" can be translated to just 5
"If each friend received 12 cards" can be translated to [tex]*12[/tex]
"How many cards did Cade have to share with his friends" can be translated to =x
This means that our equation is [tex]5*12=x[/tex]
To solve, we just need to multiply the terms.
[tex]x=60[/tex]
