BC Graduation Assessments Mathematics — practice by topic

1. The cost is the number of gallons times the price of one gallon. 2. Multiply: 13 times 3.175 equals 41.275 dollars. 3. Money is rounded to the nearest cent, the hundredths place, so look at the digit to its right, which is 5. 4. Since that digit is 5 or greater, add 1 to the hundredths digit: 41.275 rounds to 41.28. 5. Cutting the extra digit off without rounding gives $41.27, which shortchanges the pump by the rounding rule. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 5 "Decimals", section 5.2 Decimal Operations_

1. The distance around a circle is its circumference, given by C equals 2 times pi times r. 2. Substitute 3.14 for pi and 50 inches for r: C is approximately 2 times 3.14 times 50. 3. Multiply: 2 times 3.14 is 6.28, and 6.28 times 50 equals 314. 4. The strip should be about 314 inches long. 5. 157 inches uses pi times r and forgets the factor of 2, so the strip would only reach halfway around. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 5 "Decimals", section 5.3 Decimals and Fractions_

1. Let p stand for the original price, so 18 is one-half of p, which translates to 18 equals one-half times p. 2. Multiply both sides by 2 to undo the one-half: 2 times 18 equals p. 3. Simplify: p equals 36, so the original price was $36. 4. Check: half of $36 is $18, which matches the sale price. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 9 "Math Models and Geometry", section 9.1 Use a Problem Solving Strategy_