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CAASPP Mathematics Foundations — practice questions — page 2

Explore 70 free Foundations questions in CAASPP Mathematics Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Foundations questions and exercises with answers

Showing questions 31–60 of 70.

Simplify: 18 divided by 6, plus 4 times (5 minus 2).Read the answer and worked solution →Simplify: 5 + 2 cubed + 3 times [6 minus 3(4 minus 2)].Read the answer and worked solution →Evaluate 7x minus 4 when x equals 5.Read the answer and worked solution →Evaluate 2x squared plus 3x plus 8 when x equals 4.Read the answer and worked solution →By definition, what is the coefficient of a term?Read the answer and worked solution →What is the coefficient of the term 15x squared?Read the answer and worked solution →By definition, which terms count as like terms?Read the answer and worked solution →Simplify by combining like terms: 4x + 7x + x.Read the answer and worked solution →Simplify by combining like terms: 2x squared + 3x + 7 + x squared + 4x + 5.Read the answer and worked solution →Translate into algebra: the difference of 17x and 5.Read the answer and worked solution →Translate into algebra: Seventeen more than y.Read the answer and worked solution →Translate into algebra: Nine less than 9x squared.Read the answer and worked solution →Translate into algebra: five times the sum of m and n.Read the answer and worked solution →The length of a rectangle is 6 less than the width. If w represents the width, what expression gives the length?Read the answer and worked solution →The number of dimes is three less than four times the number of quarters. If q represents the number of quarters, what expression gives the number of dimes?Read the answer and worked solution →How are negative numbers defined relative to zero?Read the answer and worked solution →Order the pair 14 and 6 using the correct inequality symbol.Read the answer and worked solution →Order the pair -1 and -4 using the correct inequality symbol.Read the answer and worked solution →By definition, what is the opposite of a number?Read the answer and worked solution →What is the opposite of 7?Read the answer and worked solution →What is the opposite of -10?Read the answer and worked solution →By definition, what are the whole numbers and their opposites together called?Read the answer and worked solution →Evaluate -x when x = 8.Read the answer and worked solution →Evaluate -x when x = -8.Read the answer and worked solution →By definition, what is the absolute value of a number?Read the answer and worked solution →Simplify: the absolute value of -44.Read the answer and worked solution →Fill in the correct symbol: the absolute value of -5, compared with the opposite of the absolute value of -5.Read the answer and worked solution →Simplify: 24 minus the absolute value of (19 minus 3 times (6 minus 2)).Read the answer and worked solution →Evaluate the absolute value of x when x = -35.Read the answer and worked solution →Evaluate negative the absolute value of u when u = 12.Read the answer and worked solution →

Worked practice questions

Simplify: 18 divided by 6, plus 4 times (5 minus 2).

  1. Equals 9
  2. Equals 24
  3. Equals 15
  4. Equals 6
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Correct answer: C. Equals 15

1. Simplify inside the parentheses first: 5 minus 2 is 3. 2. There are no exponents to simplify next. 3. Multiplication and division come next, working left to right: 18 divided by 6 is 3, and 4 times 3 is 12. 4. Finish with addition: 3 plus 12 equals 15. 5. Adding 6 and 4 before finishing the multiplication and division would wrongly break the left to right rule. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.2 Use the Language of Algebra_

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Simplify: 5 + 2 cubed + 3 times [6 minus 3(4 minus 2)].

  1. Equals 19
  2. Equals 35
  3. Equals 9
  4. Equals 13
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Correct answer: D. Equals 13

1. Work inside the innermost parentheses first: 4 minus 2 is 2, so 3 times 2 is 6. 2. Inside the brackets, 6 minus 6 equals 0, so the bracket simplifies to 0. 3. Simplify the exponent next: 2 cubed is 8. 4. Multiply 3 by the bracket value of 0, which gives 0. 5. Add the remaining terms: 5 plus 8 plus 0 equals 13. 6. Skipping the multiplication by the bracket and just adding 5, 8, and 6 would wrongly give 19. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.2 Use the Language of Algebra_

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Evaluate 7x minus 4 when x equals 5.

  1. Equals 3
  2. Equals 31
  3. Equals 35
  4. Equals 27
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Correct answer: B. Equals 31

1. Substitute 5 for x in 7x minus 4 to get 7 times 5 minus 4. 2. Multiply first: 7 times 5 is 35. 3. Subtract: 35 minus 4 equals 31. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.2 Use the Language of Algebra_

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More Mathematics topics

Math ModelsDecimalsFractionsIntegersPercents and Their ApplicationsUse the Language of AlgebraAdd and Subtract IntegersIntroduction to Whole Numbers