Lesson Worksheet: Linear Equations with Variables on Both Sides Mathematics • 8th Grade
In this worksheet, we will practice solving equations in which the variable is on each side of the equation.
Q5:
Given that , find .
Q6:
If is isosceles, where , , , and , find the length of each side.
- A, ,
- B, ,
- C, ,
- D, ,
- E, ,
Q9:
Find the value of :
Q10:
Find the value of :
Q11:
Find the value of :
- A
- B
- C
- D
- E
Q12:
Find the value of in .
Q13:
Find the solution set of the equation .
- A
- B
- C
- D
Q15:
Given that , use the information in the figure to find the perimeter of triangle .
Q16:
Mason and Jacob are going on vacation together. Mason has $400 and Jacob has $350. Given that, on average, Mason spends $28 and Jacob spends $26 per day, after how many days will they have the same amount of money left?
Q17:
80 students decided to buy a present for their teacher. They split into two groups of 40. In the first group, each student gave . In the second group, three-fifths of the students gave each, and the rest contributed a total of $288. Given that the two groups contributed the same amount, find the value of .
Q18:
Find the value of given the following information:
- is on the line between and .
- .
- .
- .
Q19:
Point is the midpoint of segment . Given that the length of is , and that of is , what is the length of ?
Q20:
Solve .
- A
- B
- C
- DThere is an infinite number of solutions as the equation is always true.
- EThere is no solution for
Q21:
Find the value of in the equation .
- A
- B
- C
- D
- E2
Q22:
Solve .
- A
- B
- C
- DThere is no solution for .
- E
Q23:
Solve .
- A
- B
- C
- D
- E
Q24:
The equation can be solved in three steps. Which of the following is NOT a valid first step of such a method?
- ATake away from both sides.
- BTake away 5 from both sides.
- CDivide both sides by 5.
- DTake away from both sides.
- ETake away 10 from both sides.
Q25:
Solve .
- A
- B
- C
- D
- E