Name Date Class 1-1 Graphing Linear Equations Write the correct answer. 1. The distance in feet traveled by a falling object is found by the formula d = 16t where d is the distance in feet and t is the time in seconds. Graph the equation. Is the equation linear?. The formula that relates Celsius to Fahrenheit is F = 9 C + 3. Graph 5 the equation. Is the equation linear? Wind chill is the temperature that the air feels like with the effect of the wind. The graph below shows the wind chill equation for a wind speed of 5 mph. For Exercises 3 6, refer to the graph. 3. If the temperature is 40 with a 5 mph wind, what is the wind chill? A 6 C 9 B 0 D 40 4. If the temperature is 0 with a 5 mph wind, what is the wind chill? F 3 H 13 G 10 J 0 5. If the temperature is 0 with a 5 mph wind, what is the wind chill? A 30 C 15 B 4 D 0 6. If the wind chill is 10 and there is a 5 mph wind, what is the actual temperature? F 11 H 15 G 0 J 5 89 Holt McDougal Mathematics
Name Date Class 1- Slope of a Line Write the correct answer. 1. The state of Kansas has a fairly steady slope from the east to the west. At the eastern side, the elevation is 771 ft. At the western edge, 413 miles across the state, the elevation is 4039 ft. What is the approximate slope of Kansas? 3. On a highway, a 6% grade means a slope of 0.06. If a highway covers a horizontal distance of 0.5 miles and the elevation change is 184.8 feet, what is the grade of the road? (Hint: 580 feet = 1 mile.). The Feathered Serpent Pyramid in Teotihuacan, Mexico, has a square base. From the center of the base to the center of an edge of the pyramid is 3.5 m. The pyramid is 19.4 m high. What is the slope of each triangular face of the pyramid? 4. The roof of a house rises vertically 3 feet for every 1 feet of horizontal distance. What is the slope, or pitch of the roof? Use the graph for Exercises 5 8. 5. Find the slope of the line between 1990 and 199. A B 11 35 398 C D 11 11 199 6. Find the slope of the line between 1994 and 1996. F G 7 37 3990 H J 7 7 1996 7. Find the slope of the line between 1998 and 000. 1 A 1 C 1000 1 B D 999 8. What does it mean when the slope is negative? F The number of earthquakes stayed the same. G The number of earthquakes increased. H The number of earthquakes decreased. J It means nothing. 90 Holt McDougal Mathematics
Name Date Class 1-3 Using Slopes and Intercepts Write the correct answer. 1. Jaime purchased a $0 bus pass. Each time she rides the bus, $1.5 is deducted from the pass. The linear equation y = 1.5x + 0 represents the amount of money on the bus pass after x rides. Identify the slope and the x- and y-intercepts. Graph the equation at the right..the rent charged for space in an office building is related to the size of the space rented. The rent for 600 square feet of floor space is $750, while the rent for 900 square feet is $1150. Write an equation for the rent y based on the square footage of the floor space x. Choose the letter of the correct answer. 3. A limousine charges $35 plus $ per mile. Which equation shows the total cost of a ride in the limousine? A y = 35x + C y = x 35 B y = x + 35 D x + 35y = 5. A friend gave Ms. Morris a $50 gift card for a local car wash. If each car wash costs $6, which equation shows the number of dollars left on the card? A 50x + 6y = 1 C y = 6x + 50 B y = 6x + 50 D y = 6x 50 4. A newspaper delivery person earns $75 each day plus $0.10 per paper delivered. Which equation shows the daily earnings of a delivery person? F y = 0.1x + 75 H x + 0.1y = 75 G y = 75x + 0.1 J 0.1x + y = 75 6. Antonio s weekly allowance is given by the equation A = 0.5c + 10, where c is the number of chores he does. If he received $16 in allowance one week, how many chores did he do? F 10 H 14 G 1 J 15 91 Holt McDougal Mathematics
Name Date Class 1-4 Point-Slope Form Write the correct answer. 1. A 1600 square foot home in City A will sell for about $10,000. The price increases about $43.41 per square foot. Write an equation that describes the price y of a house in City A, based on the square footage x. 3. Wind chill is a measure of what temperature feels like with the wind. With a 5 mph wind, 40 F will feel like 9 F. Write an equation in pointslope form that describes the wind chill y based on the temperature x, if the slope of the line is 1.337.. Write the equation in Exercise 1 in slope-intercept form. 4. With a 5 mph wind, what does a temperature of 0 F feel like? From to 13 years, the growth rate for children is generally linear. Choose the letter of the correct answer. 5. The average height of a -year old boy is 36 inches, and the average growth rate per year is. inches. Write an equation in point-slope form that describes the height of a boy y based on his age x. A y 36 = (x.) B y =.(x 36) C y 36 =.(x ) D y. = (x 36) 7. Write the equation from Exercise 6 in slope-intercept form. A y =.4x 100.6 B y = 44x 17.6 C y = 5x + 3 D y =.4x + 3 6. The average height of a 5-year old girl is 44 inches, and the average growth rate per year is.4 inches. Write an equation in point-slope form that describes the height of a girl y based on her age x. F y.4 = 44(x 5) G y 44 =.4(x 5) H y 44 = 5(x.4) J y 5 =.4(x 44) 8. Use the equation in Exercise 6 to find the average height of a 13-year old girl. F 56.3 in. G 63. in. H 69.4 in. J 97 in. 9 Holt McDougal Mathematics
Name Date Class 1-5 Direct Variation Determine whether the data sets show direct variation. If so, find the equation of direct variation. 1. The table shows the distance in feet traveled by a falling object in certain times.. The R-value of insulation gives the material s resistance to heat flow. The table shows the R-value for different thicknesses of fiberglass insulation. Time (s) 0 0.5 1 1.5.5 3 Distance (ft) 0 4 16 36 64 100 144 Thickness (in.) 1 3 4 5 6 R-value 3.14 6.8 9.4 1.56 15.7 18.84 3. The table shows the lifting power of hot air. Hot Air (ft 3 ) 50 100 500 1000 000 3000 Lift (lb) 1 10 0 40 60 4. The table shows the relationship between degrees Celsius and degrees Fahrenheit. Celsius 10 5 0 5 10 0 30 Fahrenheit 14 3 3 41 50 68 86 Your weight on Earth varies directly with your weights on other planetary bodies. The table below shows how much a person who weighs 100 lb on Earth would weigh on the moon and different planets. 5. Find the equation of direct variation for the weight on earth e and on the moon m. A m = 0.166e C m = 6.0e B m = 16.6e D m = 1660e 6. How much would a 150 lb person weigh on Jupiter? F 63.5 lb H 354.6 lb G 86.4 lb J 483.7 lb Planetary Bodies Weight (lb) Moon 16.6 Jupiter 36.4 Pluto 6.7 7. How much would a 150 lb person weigh on Pluto? A 5.8 lb C 1.3 lb B 10.05 lb D 38.8 lb 93 Holt McDougal Mathematics
Name Date Class 1-6 Graphing Inequalities in Two Variables The senior class is raising money by selling popcorn and soft drinks. They make $0.5 profit on each soft drink sold, and $0.50 on each bag of popcorn. Their goal is to make at least $500. 1. Write an inequality showing the. Graph the inequality from exercise 1. relationship between the sales of x soft drinks and y bags of popcorn and the profit goal. 3. List three ordered pairs that represent a profit of exactly $500. 4. List three ordered pairs that represent a profit of more than $500. 5. List three ordered pairs that represent a profit of less than $500. A vehicle is rated to get 19 mpg in the city and 5 mpg on the highway. The vehicle has a 15-gallon gas tank. The graph below shows the number of miles you can drive using no more than 15 gallons. 6. Write the inequality represented by the graph. 8. Which ordered pair represents city and highway miles that you cannot A x 19 + y 5 < 15 drive on one tank of gas? A (100, 00) C (50, 75) B x 19 + y 5 15 B (150, 00) D (50, 5) C x 19 + y 5 15 D x 19 + y 5 > 15 7. Which ordered pair represents city and highway miles that you can drive on one tank of gas? F (00, 150) H (50, 75) G (50, 350) J (100, 175) 94 Holt McDougal Mathematics
Name Date Class 1-7 Solving Systems of Linear Equations by Graphing Write the equations for each system. Graph the system to solve each problem. Kelly needs to order lunch for the 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per person and egg salad for a cost of $4 per person. She only has $8 to spend. More people want chicken salad. How many of each lunch can she order? 1. Write one equation in a system for this situation.. Write a second equation in the system. 3. What do x and y represent? 4. How many of each type of lunch can she order? Solve each problem. 5. How many solutions does this system have? y = 3x + 6 9x+ 3y = 18 A 0 C B 1 D infinite 7. For which system is the ordered pair (, ) a solution? y = x A 1 y = x 3 B 1 y = x y = x 4 y = x C 1 y = x 3 D y = x y = x 6. How many solutions does this system have? 5x y = 1 x = 3y F 0 H G 1 J infinite 8. Which is the best description for the graph of this system of equations? x + y = 4 4x + 4y = 8 F same line G parallel lines H intersecting lines J coinciding lines 95 Holt McDougal Mathematics
1-1 1. The equation is not linear. 1-3 1. x-intercept = 16, y-intercept = 0, slope = 1.5. The equation is linear.. y = 4 x 50 3 3. B 4. F 5. C 6. G 1-4 3. C 4. F 5. B 6. J 1-1. about 0.0015. 19.4 3.5 3. 7% 4. 1 4 5. C 6. F 7. A 8. H 1. y 10,000 = 43.41(x 1600). y = 43.41x + 3,544 3. y 9 = 1.337(x 40) 4. 4.48 F 5. C 6. G 7. D 8. G 1-5 1. No direct variation. Direct variation; R = 3.14t 3. Direct variation; L = 4. No direct variation 1 H 50 5. A 6. H 7. B 14 Holt McDougal Mathematics
1-6 1. 0.5x + 0.5y 500. 5. D 6. G 7. C 8. G 13-1 1. 0,, 4. 36 3. 46 4. 8 th row 5. A 6. G 7. C 8. H 9. B 10. J 13-3. Possible answers: (800, 600), (400, 800), (1600, 00). 4. Possible answers: (400, 900), (800, 700), (1600, 300). 5. Possible answers: (400, 00), (800, 400), (100, 100). 6. B 7. J 8. B 1-7 1. x + y = 6. 5x + 4y = 8 3. x represents the number of chicken salads and y represents the number of egg salads 4. (4, ); 4 chicken salads and egg salads 1. Could be geometric; 0.8. Not geometric 3. 0.64 inches 4. 1 5. D 56 6. H 7. B 8. F 13-3 1. 176, 144, 11, 80. 3, 3, 3 3. Time (sec) Height (ft) 0 0 1 176 30 3 43 4 51 5 560 6 576 7 560 4. 576 ft 5. 1 seconds after takeoff 6. C 7. F 8. C 9. H 15 Holt McDougal Mathematics