Solving Equations by Undoing Operations

Q.

Solve the following equation and check your results: $3x=2x+18$

Q. Solve for $x:$
$7x-1=13$

1. $x=2$
2. $x=1$
3. $x=3$
4. $x=4$

Q.

Solve the equation $\mathrm{x}-4=5$

Q. Kate has $\$500$ as currency notes in the denominations of $\$50$ and $\$20$. The ratio of the number of $\$50$ notes and $\$20$ notes is $3:5$. Then, the number of $\$50$ notes is and the number of $\$20$ notes is .

Q. Jack is collecting sea shells from the beach. He begins with 5 pieces in his collection and adds 4 new pieces per day. How many days it will take Jack to have 33 pieces of sea shell in his collection?
days

Q. Students in a class planted 100 trees. They planted some fruit trees and some non-fruit trees. The number of non-fruit trees was one more than twice the number of fruit trees. How many fruit trees and non-fruit trees did they plant?

1. $33$ and $68$
2. $34$ and $67$
3. $33$ and $67$
4. $35$ and $68$

Q. Solve the given equation by undoing the operations:
$x+5=0$

1. $x=0$
2. $x=5$
3. $x=-5$
4. $x=50$

Q. Solve the given equation by undoing the operations:
$\frac{x}{5}=4$

1. $x=5÷4$
2. $x=5\times 4$
3. $x=5+4$
4. $x=5-4$

Q.

Translate this statement into an equation, using $\mathrm{x}$ as the variable:

$5$ added to twice a number gives $23$.

Q.

Solve the equation $100+\mathrm{x}=300$

Q.

Solve the equation $3\mathrm{x}+15=45$

Q.

The equation $4\mathrm{x}=16$ is satisfied by the following value of $\mathrm{x}$

1. $4$

2. $2$

3. $12$

4. $-12$

Q. Solve the given equation by undoing the operations:
$\frac{x}{2}+7=11$

1. $x=4$
2. $x=2$
3. $x=16$
4. $x=8$