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CAASPP Mathematics Math Models — practice questions

Explore 38 free Math Models questions in CAASPP Mathematics Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Math Models questions and exercises with answers

Showing questions 1–30 of 38.

Pilar bought a purse on sale for $18, which is one-half of the original price. What was the original price?Read the answer and worked solution →The number of girls in a study group was three more than twice the number of boys. There were 11 girls. How many boys were in the group?Read the answer and worked solution →The difference of a number and six is 13. Find the number.Read the answer and worked solution →The sum of twice a number and seven is 15. Find the number.Read the answer and worked solution →One number is five more than another. The sum of the numbers is 21. Find the two numbers.Read the answer and worked solution →The sum of two numbers is negative fourteen. One number is four less than the other. Find the two numbers.Read the answer and worked solution →In the definition used for consecutive integers, if n is the first integer, what is the second consecutive integer?Read the answer and worked solution →The sum of two consecutive integers is 47. Find the integers.Read the answer and worked solution →Find three consecutive integers whose sum is -42.Read the answer and worked solution →Find three consecutive even integers whose sum is 84.Read the answer and worked solution →What number is 35% of 90?Read the answer and worked solution →6.5% of what number is $1.17?Read the answer and worked solution →144 is what percent of 96?Read the answer and worked solution →Dezohn's restaurant bill was $68.50, and he wants to leave an 18% tip. How much tip should he leave?Read the answer and worked solution →A serving of cereal provides 85 mg of potassium, which is 2% of the recommended daily amount. What is the total recommended daily amount?Read the answer and worked solution →A brownie has 480 total calories, and 240 of those calories come from fat. What percent of the total calories comes from fat?Read the answer and worked solution →Community college fees rose from $26 a unit to $36 a unit. What was the amount of the increase?Read the answer and worked solution →In the simple interest formula I = Prt, what does the letter P represent?Read the answer and worked solution →Nathaly deposited $12,500 in an account earning 4% interest. How much interest will she earn in 5 years?Read the answer and worked solution →Loren loaned his brother $3,000. In 4 years his brother paid back $3,000 plus $660 in interest. What was the interest rate?Read the answer and worked solution →Eduardo's car loan had a 7.5% interest rate and cost him $6,596.25 in interest over 5 years. How much did he borrow?Read the answer and worked solution →In the discount model, how is the amount of discount found?Read the answer and worked solution →Elise bought a $140 dress discounted 35%. What was the amount of the discount?Read the answer and worked solution →Elise bought a $140 dress discounted 35%, for a discount of $49. What was the sale price of the dress?Read the answer and worked solution →Jeannette bought a swimsuit on sale for $13.95. The original price was $31. What was the discount rate?Read the answer and worked solution →Adam's art gallery bought a photograph for $250 and marked the price up 40%. What was the amount of the mark-up?Read the answer and worked solution →Adam's gallery bought a photograph for $250 and marked it up $100. What was the list price?Read the answer and worked solution →Adalberto has $2.25 in dimes and nickels, with nine more nickels than dimes. How many dimes does he have?Read the answer and worked solution →Maria has $2.43 in quarters and pennies, with twice as many pennies as quarters. How many quarters does she have?Read the answer and worked solution →Danny has $2.14 in pennies and nickels, and the number of nickels is two more than ten times the number of pennies. How many nickels does he have?Read the answer and worked solution →

Worked practice questions

Pilar bought a purse on sale for $18, which is one-half of the original price. What was the original price?

  1. $18
  2. $9
  3. $54
  4. $36
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Correct answer: D. $36

1. Let p equal the original price of the purse. 2. The sentence 18 is one-half the original price translates to 18 = one-half times p. 3. Multiply both sides by 2 to solve for p, giving p equals 36. 4. Check the answer: 18 is indeed one-half of 36, so the original price was $36. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.1 Use a Problem-Solving Strategy_

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The number of girls in a study group was three more than twice the number of boys. There were 11 girls. How many boys were in the group?

  1. 4
  2. 7
  3. 8
  4. 3
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Correct answer: A. 4

1. Let n equal the number of boys in the study group. 2. The number of girls, three more than twice the boys, translates to 2n plus 3. 3. Set that expression equal to 11 girls: 2n plus 3 equals 11. 4. Subtract 3 from each side and divide by 2 to get n equals 4 boys. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.1 Use a Problem-Solving Strategy_

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The difference of a number and six is 13. Find the number.

  1. The number is 7
  2. The number is 19
  3. The number is 13
  4. The number is 78
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Correct answer: B. The number is 19

1. Let n equal the unknown number. 2. The phrase difference of a number and six translates to n minus 6. 3. Set that equal to 13 and solve: n minus 6 equals 13, so n equals 19. 4. Check: the difference of 19 and 6 is 13, which matches. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.1 Use a Problem-Solving Strategy_

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More Mathematics topics

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