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CTET Algebra — practice questions — page 2

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 31–60 of 61.

If a = b and b = c, then a = c. This property of equality is calledRead the answer and worked solution →The rule that a = b implies b = a is called theRead the answer and worked solution →Adding the same number c to both sides of a = b leads to which result?Read the answer and worked solution →To solve a linear equation, we isolate the variable byRead the answer and worked solution →Solving ax + b = c for x givesRead the answer and worked solution →In a linear equation with one variable, the variable has the powerRead the answer and worked solution →How many solutions does a single linear equation in two variables, like y = x + 22, have?Read the answer and worked solution →To find exact values of two unknowns, how many related equations are needed?Read the answer and worked solution →A father is 22 years older than his son. In 10 years he will be twice as old as the son. How old is the son now?Read the answer and worked solution →Solve 4x + 2y = 14 and 2x - y = 1. What is y?Read the answer and worked solution →An equation whose highest power of the variable is 2 is calledRead the answer and worked solution →The word quadratic comes from the Latin quadrus, meaningRead the answer and worked solution →In ax^2 + bx + c = 0, why can a not be zero?Read the answer and worked solution →The equation x^2 + 3x - 10 = 0 factors as (x + 5)(x - 2) = 0. Its solutions areRead the answer and worked solution →Why does x^2 + 1 = 0 have no real solution?Read the answer and worked solution →In the right-triangle law c^2 = a^2 + b^2, the letter c stands forRead the answer and worked solution →Which branch of algebra is the one mainly taught in schools?Read the answer and worked solution →Algebra is often understood as a generalization ofRead the answer and worked solution →Which formula relates the circumference c and diameter d of a circle?Read the answer and worked solution →Which equation expresses the commutative property of multiplication?Read the answer and worked solution →Why are subscripts such as x1, x2 and x3 added to a letter?Read the answer and worked solution →Before the 16th and 17th centuries, equations were mostly described usingRead the answer and worked solution →In an expression, terms are separated from each other byRead the answer and worked solution →Using s = 60 × m, how many seconds are in m = 5 minutes?Read the answer and worked solution →Find the value of 3x^2 when x = 2.Read the answer and worked solution →If a = 3 and b = 2, what is the value of a^2 + b?Read the answer and worked solution →Groups, rings and fields are studied in which branch of algebra?Read the answer and worked solution →In algebra, the statement a < b is read asRead the answer and worked solution →If 3x - 7 = 11, what is x?Read the answer and worked solution →What value of x makes x / 4 + 2 = 6 true?Read the answer and worked solution →

Worked practice questions

If a = b and b = c, then a = c. This property of equality is called

  1. reflexive
  2. symmetric
  3. transitive
  4. distributive
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Correct answer: C. transitive

1. The rule links a to c through the middle value b. 2. A property that passes equality along a chain is transitive. 3. Reflexive means b = b and symmetric means a = b gives b = a. _Source: Wikipedia, Elementary algebra, Properties of equality_

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The rule that a = b implies b = a is called the

  1. reflexive property
  2. transitive property
  3. distributive property
  4. symmetric property
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Correct answer: D. symmetric property

1. The rule says equality can be read in either direction. 2. That is the symmetric property. 3. Reflexive means b = b and transitive chains a = b, b = c. _Source: Wikipedia, Elementary algebra, Properties of equality_

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Adding the same number c to both sides of a = b leads to which result?

  1. a + c = b + c
  2. a + c = b
  3. a - c = b + c
  4. a = b + c
Show answer and solution

Correct answer: A. a + c = b + c

1. Adding the same number to equal quantities keeps them equal. 2. So a + c = b + c. 3. The other choices change only one side or use opposite signs. _Source: Wikipedia, Elementary algebra, Properties of equality_

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