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NY Regents Algebra I — free MCQ practice

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NY Regents Algebra I subjects

Mathematics (190)

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Solving Linear Equations and InequalitiesSystems of Linear EquationsGraphing Linear EquationsPolynomials and ExponentsRational Expressions and EquationsModeling with Linear EquationsSolve Equations Using Properties of EqualitySolve Systems of Equations by GraphingUse a General Strategy to Solve Linear Equations

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In algebra, what is a value of a variable called if it makes an equation a true statement when substituted in?Read the answer and worked solution →The Subtraction Property of Equality states that if a equals b, what must also be true for any number c?Read the answer and worked solution →Solve: y + 37 = -13.Read the answer and worked solution →The Addition Property of Equality states that if a equals b, what must also be true for any number c?Read the answer and worked solution →

Worked practice questions

In algebra, what is a value of a variable called if it makes an equation a true statement when substituted in?

  1. A solution
  2. A constant
  3. An expression
  4. A coefficient
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Correct answer: A. A solution

1. The definition names the value that makes an equation a true statement, once substituted in, a solution. 2. A constant is a fixed number appearing in the equation, not a value found by solving it. 3. An expression or a coefficient can appear inside the equation, but neither word describes the value being sought. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality_

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The Subtraction Property of Equality states that if a equals b, what must also be true for any number c?

  1. a-c=b+c
  2. a+c=b-c
  3. a-c=b-c
  4. a*c=b*c
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Correct answer: C. a-c=b-c

1. The property allows the same quantity c to be subtracted from both sides of an equation without changing whether it is true. 2. If a equals b, subtracting c from a and from b keeps both sides equal to each other. 3. Subtracting c from only one side, or multiplying both sides instead, would not preserve the equality in the same way. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality_

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Solve: y + 37 = -13.

  1. y = -76
  2. y = 24
  3. y = 50
  4. y = -50
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Correct answer: D. y = -50

1. To isolate y, subtract 37 from both sides using the Subtraction Property of Equality. 2. y plus 37 minus 37 equals -13 minus 37. 3. Simplify both sides: y equals -50. 4. Check: -50 plus 37 equals -13, which matches the original equation. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.1 Solve Equations Using the Subtraction and Addition Properties of Equality_

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