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CTET Algebra — practice questions

Explore 61 free Algebra questions in CTET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra questions and exercises with answers

Showing questions 1–30 of 61.

In algebra, what do letters such as x and y usually stand for?Read the answer and worked solution →In the term 7y, the number 7 is called theRead the answer and worked solution →How many terms does the expression 3x^2 - 2xy + c have?Read the answer and worked solution →The sum x + x + x can be simplified toRead the answer and worked solution →The product x × x × x is written in short form asRead the answer and worked solution →Which term is a like term of 5xy?Read the answer and worked solution →What is 4x + 3x - 2x in simplest form?Read the answer and worked solution →Which is the simplest form of 3x + 2y?Read the answer and worked solution →Using the distributive property, x(2x + 3) can be written asRead the answer and worked solution →Which factored form equals 6x^5 + 3x^2?Read the answer and worked solution →Which equation says that a number plus 4 equals 12?Read the answer and worked solution →What does an algebraic expression NOT contain, unlike an equation?Read the answer and worked solution →Double a child's age and add 4 to get 12. How old is the child?Read the answer and worked solution →Which equation says that the order of adding two numbers does not matter?Read the answer and worked solution →If m is the number of minutes, which equation gives the number of seconds s?Read the answer and worked solution →Today's temperature C is 20 degrees higher than yesterday's P. Which equation fits?Read the answer and worked solution →The word algebra comes from which Arabic word?Read the answer and worked solution →Which scholar systematized algebra as an independent subject in the 9th century?Read the answer and worked solution →By convention, which letters usually represent variables?Read the answer and worked solution →How is 2 × x × y usually written in algebra?Read the answer and worked solution →When the coefficient is one, 1x^2 is usually written asRead the answer and worked solution →For any nonzero x, the value of x^0 isRead the answer and worked solution →Putting a = 3 in the expression 5a givesRead the answer and worked solution →An equation is a claim that two expressionsRead the answer and worked solution →An equation that is true for all values of its variables, such as a + b = b + a, is calledRead the answer and worked solution →Which values of x satisfy x^2 - 1 = 8?Read the answer and worked solution →The values of the variables that make an equation true are called itsRead the answer and worked solution →If both sides of an inequality are multiplied by a negative number, the symbolRead the answer and worked solution →Solve the inequality -2x > 6.Read the answer and worked solution →If a < b and c > 0, which statement is always true?Read the answer and worked solution →

Worked practice questions

In algebra, what do letters such as x and y usually stand for?

  1. Unknown or varying numbers
  2. Fixed units of length
  3. Signs for operations
  4. Names of solid shapes
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Correct answer: A. Unknown or varying numbers

1. Algebra uses letters called variables in place of numbers. 2. A variable can be unknown or can change from case to case. 3. Units, operation signs and shape names are not what the letters stand for. _Source: Wikipedia, Algebra, Elementary algebra_

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In the term 7y, the number 7 is called the

  1. exponent
  2. coefficient
  3. variable
  4. operator
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Correct answer: B. coefficient

1. A coefficient is a number that multiplies a variable. 2. In 7y, 7 multiplies y, so 7 is the coefficient. 3. The exponent is a raised power and the variable is y itself. _Source: Wikipedia, Elementary algebra, Algebraic notation_

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How many terms does the expression 3x^2 - 2xy + c have?

  1. Two
  2. Four
  3. Three
  4. Five
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Correct answer: C. Three

1. Terms are separated by plus and minus signs. 2. The parts are 3x^2, 2xy and c. 3. That makes three terms; the minus sign only separates them, so it is not a fourth term. _Source: Wikipedia, Elementary algebra, Algebraic notation_

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