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ASVAB Solving Linear Equations and Inequalities — practice questions

Explore 19 free Solving Linear Equations and Inequalities questions in ASVAB Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Solving Linear Equations and Inequalities questions and exercises with answers

Showing questions 1–19 of 19.

Solve for x: x + 19 = -27.Read the answer and worked solution →Solve for n: n - 61 = -75.Read the answer and worked solution →Solve for y: 8y - 4 - 7y - 7 = 4.Read the answer and worked solution →Solve for p: 5(p - 3) - 4p = -10.Read the answer and worked solution →Two cats together weigh 23 pounds. The larger cat weighs 16 pounds. How much does the smaller cat weigh?Read the answer and worked solution →A buyer paid $19,875 for a new car, which was $1,025 less than the sticker price. What was the sticker price?Read the answer and worked solution →A daytime movie ticket costs $7.75, which is $3.25 less than the night price. What does the movie cost at night?Read the answer and worked solution →The Division Property of Equality lets you divide both sides of an equation by any number except which one?Read the answer and worked solution →Solve for n: (2/5)n = 14.Read the answer and worked solution →Solve for r: 0.04r = 52.60.Read the answer and worked solution →The annual property tax on a house is $1,800, calculated as 15/1000 of the assessed value. What is the assessed value of the house?Read the answer and worked solution →A gardener planted 14 flats of flowers, filling 2/3 of a garden. How many flats would fill the whole garden?Read the answer and worked solution →Solve for x: 3x + 4 = -8.Read the answer and worked solution →Solve for q: 8q - 5 = -4q + 7.Read the answer and worked solution →Solve for x: 2.8x + 12 = -1.4x - 9.Read the answer and worked solution →Classify the equation 12c + 5(5 + 3c) = 3(9c - 4) and state its solution.Read the answer and worked solution →Solve for x: 7 = (1/2)x + (3/4)x - (2/3)x.Read the answer and worked solution →Order the equation-solving stepsRead the answer and worked solution →Spot the broken stepRead the answer and worked solution →

Worked practice questions

Solve for x: x + 19 = -27.

  1. x = -46
  2. x = -8
  3. x = 46
  4. x = 8
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Correct answer: A. x = -46

1. To isolate x, undo the addition of 19 by subtracting 19 from both sides. 2. This gives x = -27 - 19. 3. Combine: x = -46. 4. Check: -46 + 19 = -27, a true statement, while x = -8 comes from subtracting the wrong way round. _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 for n: n - 61 = -75.

  1. n = 14
  2. n = -14
  3. n = -136
  4. n = 136
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Correct answer: B. n = -14

1. To isolate n, undo the subtraction of 61 by adding 61 to both sides. 2. This gives n = -75 + 61. 3. Combine: n = -14. 4. Check: -14 - 61 = -75, a true statement, while n = -136 comes from subtracting 61 instead of adding it. _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 for y: 8y - 4 - 7y - 7 = 4.

  1. y = -15
  2. y = 7
  3. y = 15
  4. y = -7
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Correct answer: C. y = 15

1. Simplify the left side first by combining like terms. 2. Combine the variable terms: 8y - 7y = y. 3. Combine the constants: -4 - 7 = -11, so the equation becomes y - 11 = 4. 4. Add 11 to both sides: y = 15. 5. Check: 8(15) - 4 - 7(15) - 7 = 120 - 4 - 105 - 7 = 4, so y = 15 works, while y = -7 comes from combining -4 - 7 as +11. _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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