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Key Stage 3 (KS3) The Language of Algebra — practice questions

Explore 29 free The Language of Algebra questions in Key Stage 3 (KS3) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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The Language of Algebra questions and exercises with answers

Showing questions 1–29 of 29.

In algebra, what is a letter called when it stands for a number or quantity whose value may change?Read the answer and worked solution →What is a number called whose value always stays the same, no matter what happens to the variables around it?Read the answer and worked solution →For powers where the exponent is 2 or 3, algebra gives each one a special spoken name. What is a raised to the power 3 called?Read the answer and worked solution →An expression contains both multiplication and division with no grouping symbols or exponents. In what order should they be carried out?Read the answer and worked solution →Following the order of operations, what does 4 + 3 times 7 simplify to?Read the answer and worked solution →Following the order of operations, what does the grouped expression (4 + 3) times 7 simplify to?Read the answer and worked solution →Simplify 18 divided by 6, plus 4 times the quantity (5 minus 2).Read the answer and worked solution →Simplify 5 plus 2 cubed plus 3 times the bracket [6 minus 3 times (4 minus 2)].Read the answer and worked solution →Simplify 2 cubed plus 3 to the fourth power, divided by 3, minus 5 squared.Read the answer and worked solution →Evaluate the expression 9x minus 2 when x equals 5.Read the answer and worked solution →Evaluate the expression 2x squared plus 3x plus 8 when x equals 4.Read the answer and worked solution →Two algebraic terms are called like terms when they share what characteristic?Read the answer and worked solution →Simplify the expression 3x plus 7 plus 4x plus 5 by combining like terms.Read the answer and worked solution →Simplify the expression 7x squared plus 8x plus x squared plus 4x by combining like terms.Read the answer and worked solution →When translating the phrase nine less than a number n into algebra, which expression is correct?Read the answer and worked solution →How should the phrase five times the sum of m and n be translated into algebra?Read the answer and worked solution →In algebra, what is a value of a variable called if it makes an equation a true statement when it is substituted in?Read the answer and worked solution →The Subtraction Property of Equality says that if a equals b, which statement must also be true for any number c?Read the answer and worked solution →The Addition Property of Equality says that if a equals b, which statement must also be true for any number c?Read the answer and worked solution →Solve the equation x plus 8 equals 17.Read the answer and worked solution →Solve the equation 100 equals y plus 74.Read the answer and worked solution →A number is a multiple of n when it fits which description?Read the answer and worked solution →Using the divisibility test for 2, which digit in the ones place tells you a number is divisible by 2?Read the answer and worked solution →Is 645 divisible by 3, using the divisibility test based on the sum of its digits?Read the answer and worked solution →If two counting numbers a and b multiply to give m, what are a and b called?Read the answer and worked solution →A prime number is a counting number greater than 1 with what property regarding its factors?Read the answer and worked solution →The number 1 has only one factor, itself. Where does 1 fit among prime and composite numbers?Read the answer and worked solution →Pick the number line fact, fastRead the answer and worked solution →Complete the number line ruleRead the answer and worked solution →

Worked practice questions

In algebra, what is a letter called when it stands for a number or quantity whose value may change?

  1. A variable
  2. A constant
  3. A coefficient
  4. An exponent
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Correct answer: A. A variable

1. The rule for algebra states that a letter representing a number whose value may change is called a variable. 2. A constant is a number whose value always stays the same, which is the opposite idea. 3. A coefficient is the number multiplying a variable, and an exponent is the small raised number, so neither fits the description. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 2 "The Language of Algebra", section 2.1 Use the Language of Algebra_

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What is a number called whose value always stays the same, no matter what happens to the variables around it?

  1. A variable
  2. A constant
  3. An expression
  4. An equation
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Correct answer: B. A constant

1. The rule for algebra states that a number whose value always stays the same is called a constant. 2. A variable is the opposite idea, since its value may change. 3. An expression or an equation can contain constants, but neither word names the constant itself. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 2 "The Language of Algebra", section 2.1 Use the Language of Algebra_

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For powers where the exponent is 2 or 3, algebra gives each one a special spoken name. What is a raised to the power 3 called?

  1. a squared
  2. a doubled
  3. a tripled
  4. a cubed
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Correct answer: D. a cubed

1. Powers with exponent 2 and exponent 3 each get their own special spoken name. 2. The exponent 2 gives the name squared, so a to the second power is a squared. 3. The exponent 3 gives the name cubed, so a to the third power is a cubed. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 2 "The Language of Algebra", section 2.1 Use the Language of Algebra_

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More Mathematics topics

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