Algebra questions and answers

Algebra: key points

Algebra questions express an unknown quantity with a letter and use equations or identities to solve it.

• Do the same operation on both sides of an equation.
• Remember (a+b)² and a²−b² identities.
• Translate words into an equation before calculating.

How to practise Algebra

Start with the key points, then take one Algebra test without rushing. Review every explanation, note the steps you missed and repeat the topic against the clock. APTITUDE TESTER has 20 questions in 2 tests for this topic.

• Read the method before attempting a timed test.
• Record mistakes by type: concept, calculation or time management.
• Return to the hardest questions after a day and try them again.

Continue with another Quantitative topic when your accuracy is steady.

Algebra online tests

Sample Algebra questions

1. 1. If 6x + 6 = 72, find x.
   1. 12
   2. 8
   3. 9
   4. 11

   Reference: q-8ab4389a-24 · Report this question

   Show answer and solution

   Answer: D. 11

   6x = 72 − 6 = 66, so x = 11.
2. 2. Find (6 + 5)² − (6 − 5)².
   1. 120
   2. 126
   3. 122
   4. 114

   Reference: q-901be797-26 · Report this question

   Show answer and solution

   Answer: A. 120

   Use (a+b)² − (a−b)² = 4ab = 4×6×5 = 120.
3. 3. If x = 3 and y = 2, find x² + 2xy + y².
   1. 23
   2. 31
   3. 19
   4. 25

   Reference: q-dcea9106-40 · Report this question

   Show answer and solution

   Answer: D. 25

   x² + 2xy + y² = (x + y)² = (3 + 2)² = 25.

See all the questions of Test 1

Algebra: questions people ask

How many Algebra questions are there?

There are 20 Algebra questions in 2 tests. Each test has its own page that lists the questions with their answers and solutions.

How long does a Algebra test take?

A test of 10 questions has a time limit of 15 minutes, which is 90 seconds a question.

Is there negative marking?

Rules vary by set. The rules screen shows the time limit, marks, any wrong-answer penalty and calculator permission before you begin. Feedback mode has no time limit or negative marking.

Can I practise Algebra without a time limit?

Yes. Choose practice mode: there is no clock, and the answer and solution appear as soon as you select an option.