Basic Math Questions and Answers

(11.3) A local television station wants to find the number of hours per week people in the viewing area watch sporting events on television. The station surveys people at a nearby sports stadium. Is the sample biased? Explain your reasoning.

If you borrow $100 for 3 years at an annual interest rate of 9%, how much will you pay altogether?

Solve 4 |x + 7| = 24. A. x = 13 and x=-1 B. x= -13 and x = -1 C. x= -13 and x = 1 D. x= 13 and x = -13

The minimum of the graph of a quadratic function is located at (-1, 2). The point (2, 20) is also on the parabola. Which function represents the situation? f(x) = (x + 1)² +2 f(x) = (x - 1)² +2 f(x) = 2(x + 1)² + 2 f(x) = 2(x - 1)² + 2

Solve |7x + 21| = 14x. Identify the solution and an extraneous solution. A. Solution: x = 1; extraneous solution: x = -3 B. Solution: x = 3; extraneous solution: x = -3 C. Solution: x = -1; extraneous solution: x = 3 D. Solution: x = 3; extraneous solution: x=-1

Which expression is the simplest form of 4x³ - x² +2 (x³ - 3x²)? A. 4x³ - 6x² B. 6x³ - 7x² C. 2x³ - 6x² D. 6x³ - 4x²

Determine the value of y, if x is 10. y = |x|+8

(11.3) Classify the following samples as biased or unbiased. a. A radio station asks listeners to call in and participate in a poll about radio advertisements. b. Every fourth person who enters a grocery store is asked whether he or she thinks airline prices are reasonable. c) A sports league randomly selects five players from each team to complete a survey about fan behavior.

Ten students compared their test percentage grades: 93,77,100,68,94, 83, 86, 88, 93,85 What is their median percentage score? A. 83.4 C. 87 B. 86.7 D. 88.5

Solve |7x+42| = 14x. Identify the solution and an extraneous solution. A. Solution: x= -2; extraneous solution: x= 6 B. Solution: x = 2; extraneous solution: x= -6 C. Solution: x = 6; extraneous solution: x= -6 D. Solution: x= 6; extraneous solution: x=-2

A swimming pool at Mary's house is 7 m long. 5 m wide, and 1.5 m deep. The water-resistant paint needed for the pool costs $5 per square meter. How much will it cost to paint the interior surfaces of the pool? $71 $76 $106 $355

Drew's neighbor pays him $35 to mow her lawn and she always gives him a 20% tip. He decides to mow the lawn with his friend and split the earnings evenly. How much will each of them make?

The dimensions of a rectangular prism are 8 m x1 9 m x 10 m. If the dimensions of the rectangular prism are increased by 4, then find the volume of the new prism. 1,284 m³ 2,184m3 4,182 m³ 8,142 m³

Select the correct answer. Which expression is equivalent to the given expression? 3x^2 + 5x-7(x²+4) A-4x² + 5x - 28 B.4x^2+ 5x - 4 C.x²+28 D. x² +4

Which set of angles could NOT form a triangle? A. Three acute angles B. One right angle, two acute angles C. One right angle, one acute angle, one obtuse angle D. One obtuse angle, two acute angles

(11.2) Which of the following is a parameter? Ten out of 25 people surveyed chose "red." The total collected at a fund-raiser was $5,281. Seventy-five percent of the freshmen surveyed voted for Lucy.

Contestants in a long distance race run 5 kilometers due south. The runners then turn right and head west towards the finish line. If the straight line distance from start to finish is 13 kilometers, what is the distance that the contestants traveled while heading west? 17 km 14 km 12 km

Kristin Wilson lives in Spartanburg, South Carolina, and wishes to visit relatives in the following South Carolina cities: Sumter and Greenville. In how many ways can she visit each of these cities and return to her home in Spartanburg?

Solve |x + 3| = -7. A. x=-4 and x = -10 B. No solution C. x = 4 and x = -10 D. x = -4 and x = 10

Does the equation below represent a direct proportion? If yes, identify the constant of proportionality. y = 2.4x A. No B. Yes, -2.4 C. Yes, 2.4 D. Yes, 2

Select the correct answer. Find the quotient. 2x-3 / x ÷ 7/x^2 A. 7/x(2x-3) B. 7x/2x-3 C. 2x-3/7x D. x(2x-3)/7

Which algebraic expression represents this word description? The difference between the product of nine and a number, and five A. 9x-5 B. 9(5-x) C. 9(x - 5) D. 5-9x

Harold can make 9 pizzas in an hour. Write an equation that shows the relationship between hours (h) and pizzas (p). A. h+9=p B. 9p = h C. 9h=p D. hp = 9

A petri dish of bacteria grow continuously at a rate of 200% each day. If the petri dish began with 10 bacteria, how many bacteria are there after 5 days? Use the exponential growth function f(t)= ae^rt, and give your answer to the nearest whole number. You may use the Desmos scientific calculator: https://www.desmos.com/scientific.

A professor must randomly select 4 students to participate in a mock debate. There are 20 students in his class. In how many different ways can these students be selected, if the order of selection does not matter?

A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?

John runs 3 miles in 1/2 of an hour. At the same pace, how many miles will he run in 1 hour? 6 1/4 miles 6 miles 3 3/4 miles

There is a direct path from Gayle's house to the store. Due to construction, the direct route is closed and Gayle must travel 6 miles east and then 8 miles north in order to get to the store. How long is the direct path from Gayle's house to the store? 10 miles 12 miles 14 miles

A car travels 67 miles per hour. Write an equation that shows the relationship between hours (h) and miles (m). A. 67h=m B. 67 = hm C. h+67=m D. none of the above

On a map, the scale shown is 1 inch 3 miles. If an island is 0.5 square inches on the map, what is the actual area of the island?

Sets C and D are subsets of the universal set U. These sets are defined as follows. U = {q, r, x, y, z} C = {x, z} D={q, y, z} Find the following sets. Write your answer in roster form or as Ø. (a) CUD' = (b) C'nd' =

Select the correct answer. The length, that a spring is stretched varies directly as the amount of force, F. applied to the end of the spring. When a force of 10 pounds is applied to a spring, it stretches 3 inches. How much will the same spring stretch if the force is increased to 15 pounds? A. 8 inches B. 7.5 inches C. 4.5 inches D. 2 inches

When the volume of a gas is changed from 3.6 L to 15.5 L, the temperature will change from °C to 87°C.

A model of a car is built with a scale of. 1 inch 4 feet. If the length of the model car is 2.7 inches, then the length of the actual car is ft.

Type the correct answer in the box. The measure of angle θ is 5π/6. The equivalent measurement in degrees is

Blue River is 212 miles long. What is the length of the river on a map, if the scale is 1 inch : 50 miles?

A package of twelve eggs costs $5. At this price, how much does each individual egg cost? (Round to the nearest cent.) A. $0.42 B. $1.24 C. $2.40 D. none of the above

Sally lives in City A and works for the department of transportation. She needs to inspect the weigh stations in each of three cities other than City A. In how many ways can she reach each of these cities and return to her home in City A?

Which of the following sets could be the sides of a right triangle? (2,3,√13) (2, 2, 4) (1, 3, √3)

Question 5 of 25 Solve 4(x-7)+ 10 = -10. A. x = 3 B. x = 2 C. x = 4 D. x = 1

Tyler drew a figure that has two pairs of equal sides, four angles formed by perpendicular lines, and two pairs of parallel sides. What geometric term best describes the figure Tyler drew? A. Parallelogram B. Rhombus C. Rectangle D. Trapezoid

Solve 3x + 4(x + 6) = 45. A. x = 7 B. x = 6 C. x = 5 D. x = 3

A study concludes that 15 percent of all college students attend a gym class. Which of the following statements is true? 15 percent is a parameter. 15 percent is an ordinal measurement. 15 percent is categorical data. 15 percent is a statistic.

Alfredo bought a fishing pole for 60% off its original price of $97. If the tax was 4% (of the sale price), how much did Alfredo pay for the fishing pole?

(11.2) Determine if each of the following is a parameter or a statistic. a) A survey of all employees at a company found that the mean one-way daily commute to work of the employees is 25.5 minutes. b) A car dealer has 1,600 cars on its lot and a sample of 25 cars is chosen. The dealer calculates the mean weight of those 25 cars. What does the mean represent?

A map's scale is 1 inch : 2.4 miles. The map shows an airport that is 5 inches away from a city. How far away is the airport actually from the city?

A space shuttle is made using a scale of 1 inch : 12 feet. If the actual space shuttle has a height of 84 feet, then the model is inches tall.

(11.5) In a survey of 42 U.S. children, 72% said they plan to complete a summer reading list this year. Give an interval that is likely to contain the exact percent of all U.S. children who plan to complete a summer reading list this year. Round to the nearest tenth of a percent. It is likely that the exact percent is between % and %.

A map's scale is 1 inch : 3.5 miles. If the actual distance between two places is 77 miles, then they will be__________ inches away from each other on the map.

If you borrow $400 for 3 years at an annual interest rate of 4%, how much will you pay altogether?