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NY Regents Algebra I Modeling with Linear Equations — practice questions

Explore 22 free Modeling with Linear Equations questions in NY Regents Algebra I Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Modeling with Linear Equations questions and exercises with answers

Showing questions 1–22 of 22.

The first step of the problem-solving strategy for word problems is to:Read the answer and worked solution →Step three of the strategy asks you to choose a variable to represent:Read the answer and worked solution →The final step of the strategy is to answer the question with a complete:Read the answer and worked solution →The money a customer puts into the bank is called the:Read the answer and worked solution →The side of a right triangle opposite the right angle is called the:Read the answer and worked solution →To work out the amount of a discount, multiply the discount rate by the:Read the answer and worked solution →A retailer adds a mark-up to the original cost in order to arrive at the:Read the answer and worked solution →The sale price of an item should always be less than the:Read the answer and worked solution →The perimeter of a rectangle is the sum of twice the length and twice the:Read the answer and worked solution →To find the area of a triangle you need to know its base and its:Read the answer and worked solution →Problems in which the speed of each vehicle stays constant are called:Read the answer and worked solution →In a uniform motion problem you multiply the rate times the time to get the:Read the answer and worked solution →Step four of the strategy tells you to translate the English sentence into an:Read the answer and worked solution →After solving the equation, the strategy asks you to check that the answer:Read the answer and worked solution →Besides simple interest, which other way of calculating interest is named?Read the answer and worked solution →In a right triangle, the two sides other than the hypotenuse are called the:Read the answer and worked solution →The interest is worked out as a certain percent of the principal, and that percent is the:Read the answer and worked solution →Order the seven stepsRead the answer and worked solution →Match the word to its meaningRead the answer and worked solution →Complete the discount ruleRead the answer and worked solution →True or falseRead the answer and worked solution →Work the interestRead the answer and worked solution →

Worked practice questions

The first step of the problem-solving strategy for word problems is to:

  1. Read the problem
  2. Rent the projector
  3. Ring the principal
  4. Rank the problems
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Correct answer: A. Read the problem

1. The strategy is a fixed order of seven steps. 2. Nothing can be identified or named before the situation is understood. 3. Step one is to read the problem and make sure all the words are understood. 4. So reading comes first. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 3 'Math Models', sections 3.1-3.5_

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Step three of the strategy asks you to choose a variable to represent:

  1. Their conditions
  2. That quantity
  3. This committee
  4. Those employees
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Correct answer: B. That quantity

1. Step two identifies what is being looked for. 2. Step three gives that unknown a name so it can be written down. 3. Name what you are looking for and choose a variable to represent that quantity. 4. So the variable stands for the quantity being sought. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 3 'Math Models', sections 3.1-3.5_

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The final step of the strategy is to answer the question with a complete:

  1. Sentence
  2. Sandwich
  3. Skeleton
  4. Spectacle
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Correct answer: A. Sentence

1. Solving the equation gives a number, not an answer. 2. The question asked in words deserves a reply in words. 3. Answer the question with a complete sentence. 4. So the last step is a written sentence. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 3 'Math Models', sections 3.1-3.5_

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More Mathematics topics

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