Practice test

Basic algebra - Test Set 2

Review 5 exam-focused questions with detailed explanations, then start the interactive test when you are ready.

5 questions

Questions and explanations

Question 1
If $x^{4} + \frac{1}{x^{4}} = 322 and x > 1$ then find the value of $x^{3} - \frac{1}{x^{3}}$ ?
1. 72
2. 78
3. 76
4. 74
View explanation
Sign In to See Explanations. Sign Up Here
Question 2
If $\frac{a^{2} - 1}{a} = 5$ , then $\frac{a^{6} - 1}{a^{3}}$ = ?
1. 120
2. 140
3. 125
4. 130
View explanation
Sign In to See Explanations. Sign Up Here
Question 3
If $x + \frac{1}{x} = 12$ and $x^{2} - \frac{1}{x^{2}} = 50$ , then find the value of $x^{4} - \frac{1}{x^{4}}$ ?
1. 600
2. 7200
3. 7100
4. 1800
View explanation
Sign In to See Explanations. Sign Up Here
Question 4
If a⁴ + b⁴ = 17 and a + b = 1 then find the value of a²b²-2ab:
1. 4
2. 2
3. 8
4. 6
View explanation
Sign In to See Explanations. Sign Up Here
Question 5
If $a = \frac{b^{2}}{(b - a)},$ then find the value of a³ + b³?
1. 1
2. 2
3. 6
4. 0
View explanation
Sign In to See Explanations. Sign Up Here