Solving Two Step Equations

Q.

Solve the following equation and check your results: $5x+9=5+3x$

Q.

The difference between two positive integers is $30$. The ratio of these integers is $2:5$. Find the integers.

Q. $x=4$ is the solution of the algebraic equation $4x+8=16$.

1. True
2. False

Q. Solve the two-step equation below:
$3x+5=23$

1. $x=6$
2. $x=3$
3. $x=5$
4. $x=9$

Q. The sum of three consecutive numbers is 30. What are the numbers?

1. $8$
2. $9$
3. $10$
4. $11$

Q. You decide to redecorate a wall by hanging two new posters on it. The wall is 14 feet wide and each poster is 4 feet wide. You want to place the posters on the wall so that the distance from the edge of each poster to the nearest edge of the wall is the same as the distance between the posters, as shown in the diagram below, then the distance between posters is feet

Q. Alex is three times as old as Rita. Three years later, Alex will be two times as old as Rita. Alex's present age is years.

Q. If $7x+33=110$, then, $x=$

1. $11$
2. $22$
3. $33$

Q. Eddy is one year elder than Sam and Jack is 7 years elder than Sam. If Jack's age is 3 times the age of Eddy, then the age of Sam is .

1. $3$ years
2. $2$ years
3. $4$ years

Q. In the algebraic equation $\frac{x-2}{9}=7$, the value of the unknown is

Q. Sort the following algebraic equations according to the decreasing order of the values of their unknowns.

1. $x÷6=3$
2. $y+7=17$
3. $u-4=21$
4. $v\times 10=80$

Q. In the algebraic equation $3x+4=2x+11$, the value of the unknown is

Q. In the algebraic equation $\frac{x}{8}-6=11$, value of $x$ is

1. $136$
2. $40$
3. $163$

Q. A gamezone charges $\$8$ as entry fees, and an hourly fees of $\$5$. For how long can Jane play, if she has $\$28$.

1. $3$ hours
2. $4$ hours
3. $5$ hours
4. None of the above

Q. Which of the following is/are two step equations?

1. $x+3=6$
2. $5x-10=0$
3. $x=8$
4. $\frac{x}{2}-4=3$

Q.

How do you write a linear function $f$ with the values $f\left(2\right)=-1$ and $f\left(5\right)=4$?

Q.

Solve the following equation:

$28=4+3(t+5)$

Q. A group of 31 students made the school trip. There were five buses and a car and the car was filled with 7 students. How many students were on each bus?

1. $4$
2. $3$
3. $5$
4. $8$

Q. Eric gave half of the money that he had to Kevin. Eric then bought a sandwitch for $\$5$. He now has $\$20$ remaining with him. Eric had $\$$ initially.