Forming Algebraic Equations (Multiplication)

Q.

Troys truck has a $30\text{gallon}$ gas tank and gets an average of $21\text{miles}$ per gallon.

Write an equation to represent the amount of gas in Troy s truck after driving a certain number of miles (assuming he starts with a full tank).

Define your variables.

Q. Soldiers are marching in a parade. There are $15$ soldiers in a row. Total number of soldiers in $n$ number of rows are .

1. $15+n$
2. $15n+15$
3. $15n$

Q.

Write an algebraic equation for the following:

Thrice a number added to $6$ gives $27$

Q. Benny bought a soft drink for $\$3$ and 6 ice creams. He spent a total of $\$25$. Which is the correct algebraic equation to find the cost of each ice cream?

1. $25=3+6x$
2. $25=3-6x$
3. $25=3+\frac{x}{6}$
4. $25=3x+6$

Q. Mike sold one-third of his novels. He gave 2 novels to his friend Tom. He is left with 8 novels.
Derive an algebraic expression from the above comprehension to find the number of novels he had initially.

1. $2=\frac{2x}{3}-8$
2. $8=\frac{2x}{3}+2$
3. $8=\frac{x}{3}-2$
4. $8=\frac{2x}{3}-2$

Q. Which is the correct algebraic equation for the below statement?
An unknown number "$a$" is doubled. Then 25 is subtracted from the result.

1. $2a-25$
2. $2÷a-25$
3. $\frac{a}{2}-25$
4. $a-25\times 2$

Q. Jackson traveled to California in his car. He traveled an average of 9 miles a day. Express the algebraic equation to find the number of days required if California is 999 miles from his home.

1. $x\times 9=999$
2. $x÷9=999$
3. $x+9=999$
4. $x-9=999$

Q. Tom baked three times as many cupcakes as Ellen did, and he sold 33 of them. If Tom has 57 cupcakes left over, which algebraic expression helps us to find the number of cupcakes baked by Tom.

1. $3x+33=57$
2. $3x-33=57$
3. $\frac{x}{3}-33=57$
4. $\frac{x}{3}+33=57$

Q.

Write an algebraic equation for the following:

The two numbers are such that one of them exceeds the other by $16$ and their sum is $84$