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US High School — free MCQ practice

Choose from 50 questions across 1 subjects and 9 topics. Open any question for its answer and worked solution, or keep learning through bite-sized lessons and reviews with Quill.

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US High School subjects

Mathematics (50)

Explore popular topics

Using the Normal DistributionLinear InequalitiesSolving Linear EquationsAbsolute Value Equations and InequalitiesMixture and Uniform MotionCompound InequalitiesProblem Solving with EquationsSolving a Formula for a VariableThe Standard Normal Distribution

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What makes a particular number a solution of an equation?Read the answer and worked solution →Which form defines a linear equation in one variable?Read the answer and worked solution →What is the first step in the general strategy for solving a linear equation?Read the answer and worked solution →Solve 5(x - 3) + 7 = 2x + 10.Read the answer and worked solution →

Worked practice questions

What makes a particular number a solution of an equation?

  1. It makes the equation easier to read
  2. It makes the equation a true statement
  3. It appears on the left of the equation
  4. It is the largest number in the equation
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Correct answer: B. It makes the equation a true statement

1. Substitute the number in place of the variable everywhere it appears. 2. Simplify both sides of the equation separately. 3. If the two sides come out equal, the number is a solution, and otherwise it is not. _Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.1 Use a General Strategy to Solve Linear Equations_

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Which form defines a linear equation in one variable?

  1. ax + b = 0 with a equal to 0
  2. ax squared + b = 0 with a not zero
  3. a over x + b = 0 with a not zero
  4. ax + b = 0 with a not zero
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Correct answer: D. ax + b = 0 with a not zero

1. A linear equation holds one variable raised only to the first power. 2. It can always be rearranged into ax + b = 0 with real numbers a and b. 3. The coefficient a must not be zero, or the variable disappears entirely. 4. A squared term would make it quadratic instead, so that form is ruled out. _Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.1 Use a General Strategy to Solve Linear Equations_

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What is the first step in the general strategy for solving a linear equation?

  1. Simplify each side as much as possible
  2. Divide both sides by the coefficient
  3. Move every constant to the left side
  4. Check the answer in the original
Show answer and solution

Correct answer: A. Simplify each side as much as possible

1. Start by tidying each side on its own before moving anything across. 2. That means clearing parentheses and combining like terms. 3. Only once both sides are simple do you begin collecting variable terms. _Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.1 Use a General Strategy to Solve Linear Equations_

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