Worksheet: Substitution to Manipulate Equations into Quadratics
In this worksheet, we will practice solving complicated equations by making substitutions that reduce the equation to a quadratic.
Q4:
Factorize fully .
- A
- B
- C
- D
Q5:
Find the solution set of .
- A
- B
- C
- D
- E
Q6:
Find the solution set of .
- A
- B
- C
- D
- E
Q10:
Find the solution set of .
- A
- B
- C
- D
- E
Q11:
Find the solution set of .
- A
- B
- C
- D
- E
Q12:
Use the change of variable to find the real solutions of the equation .
- AThe equation has no solution.
- B or
- C or 3
- D or 3
- E or 9
Q13:
We want to solve .
What equation do we get using the change of variable ?
- A
- B
- C
Solve the previous equation for .
- A or 4
- B or
- C or
- D or 1
- E or 2
Solve .
- A or 1
- B or 4
- C or 2
Q14:
Use the change of the variable to find the real solutions of the equation .
- A,
- B,
- C,
- D,
- EThe equation has no solution.
Q15:
Using an appropriate change of variable, solve .
- A
- B,
- C, , 2,
Q16:
Consider the equation .
Which of the following is the best change of variable to solve this equation?
- A
- B
- C
- D
- E
Solve for using a change of variable.
- A
- B
- C
- D
- E
Q17:
Find the solution set of in .
- A
- B
- C
- D
- E
Q23:
Determine the solution set of the equation in .
- A
- B
- C
- D
- E