Solve the equation. Check your solution, if possible.. + y =.5. x = 8 3. z 3 = 8. 3.8n 3 =.n + 5 5. (8d 5) + 3 = d 6. j 8 = 8 + j 7..5(p + 5) = 5p +.5 8. 3 t + 8 = 3 (t + 8). (r + 8) = (r + ) 7 Find the value of x. Then find the angle measures of the polygon. 0.. (x 3) (x 8) (x 8) Sum of angle measures: 80 Sum of angle measures: 360 (x 5) Solve the equation for y...x y = 8 3. 0.5 = 0.y 0.5x Solve the formula for the red variable.. Perimeter of a rectangle: P = + w 5. Distance formula: d = rt 6. BASKETBALL Your basketball team wins a game by 3 points. The opposing team scores 7 points. Explain how to find your team s score. 7. CYCLING You are biking at a speed of 8 miles per hour. You are 3 miles behind your friend, who is biking at a speed of miles per hour. Write and solve an equation to find the amount of time it takes for you to catch up to your friend. 8. VOLCANOES Two scientists are measuring lava temperatures. One scientist records a temperature of 75 F. The other scientist records a temperature of 50 C. Which is the greater temperature? ( Use C = 5 ) (F 3).. JOBS Your profit for mowing lawns this week is $. You are paid $8 per hour and you paid $0 for gas for the lawn mower. How many hours did you work this week? 36 Chapter Equations
0 Write the product using exponents.. ( 5) ( 5) ( 5). ( ) ( ) ( ) ( ) ( Evaluate the expression. 3. 3. 0 + 3 3 Simplify the expression. Write your answer as a power. 5. 0 6. ( 66 ) 5 7. ( 0) 7 8. ( 3.5)3 ( 3.5) Evaluate the expression.. 5 5 0. 8 ( 8) 3 Write the number in standard form.. 3 0 7..05 0 3 Evaluate the expression. Write your answer in scientific notation. 3. ( 7.8 0 7 ) + (. 0 7 ). ( 6. 0 5 ) ( 5. 0 ) 5. ( 3. 0 6 ) (.7 0 ) 6. (.6 0 7 ) (. 0 ) 7. CRITICAL THINKING Is ( xy ) 3 the same as ( xy 3 )? Explain. 8. RICE A grain of rice weighs about 3 3 milligrams. About how many grains of rice are in one scoop?. TASTE BUDS There are about 0,000 taste buds on a human tongue. Write this number in scientific notation. ) One scoop of rice weighs about 3 milligrams. 0. LEAD From 78 to 008, the amount of lead allowed in the air in the United States was.5 0 6 gram per cubic meter. In 008, the amount allowed was reduced by 0%. What is the new amount of lead allowed in the air? 58 Chapter 0 Exponents and Scientific Notation
7 Find the square root(s).. 600. 5 Find the cube root.. 3 7 5. 3 8 5 Evaluate the expression. 7. + 8 6 8. + 7. ( 3 5 ) 3 + 75 0. 50 3 5 000 +. Find the missing length of the triangle. 3. ± 00 6. 3 7 6 a 6 in. in. Classify the real number.. 6π 3. Estimate the square root to the nearest (a) integer and (b) tenth. 6 ft x. 58 5. 83 Write the decimal as a fraction or a mixed number. 6. 0. 3 7.. 8. Tell whether the triangle is a right triangle. 80 mm 3 mm 8 mm Find the distance between the two points.. (, 3), (6, ) 0. (0, 5), (, ). SUPERHERO Find the altitude of the superhero balloon. ft 6 ft 38 Chapter 7 Real Numbers and the Pythagorean Theorem
Find the slope and the y-intercept of the graph of the linear equation.. y = 6x 5. y = 0x + 5 3. y = 5x 6. y = 3x + 8. 5. y +.3 = 0.x 6. x + y = 7 Graph the linear equation. 7. y = x + 8. y = x 5. 3x + 6y = 0. Which lines are parallel? Which lines. The points in the table lie on a line. are perpendicular? Explain. Find the slope of the line. (, ) (, 3) 6 5 (, ) (, ) 5 5 y (, ) (, 0.5) x 3 (, ) (, 5) x y 0 5 Write an equation of the line in slope-intercept form.. y 3 ( 3, ) (0, 0) 5 3 3 3. (0, ) x 3 5 y (, ) 3 x Write in slope-intercept form an equation of the line that passes through the given points.. (, 5), (3, 3) 5. (, ), (, 3) 6. (, 5), (, ) 7. VOCABULARY The number y of new vocabulary words that you learn after x weeks is represented by the equation y = 5x. a. Graph the equation and interpret the slope. b. How many new vocabulary words do you learn after 5 weeks? c. How many more vocabulary words do you learn after 6 weeks than after weeks? 6 Chapter Graphing and Writing Linear Equations
. POPULATION The graph shows the population (in millions) of the United States from 60 to 00. a. In what year was the population of the United States about 80 million? b. What was the approximate population of the United States in 0? c. Describe the trend shown by the data. Population (millions) U.S. Population 350 300 50 00 50 00 50 0 0 60 70 80 0 000 00 Year. WEIGHT The table shows the weight of a baby over several months. a. Make a scatter plot of the data and draw a line of fit. b. Write an equation of the line of fit. c. Interpret the slope and the y-intercept of the line of fit. d. Predict how much the baby will weigh at 7 months. Age (months) Weight (pounds) 8.5 3.75 3 5.5 6 6 Fiction Nonfiction Likes Dislikes Likes 6 0 Dislikes 3. READING You randomly survey students at your school about what type of books they like to read. The two-way table shows your results. Find and interpret the marginal frequencies. Choose an appropriate data display for the situation. Explain your reasoning.. magazine sales grouped by price 5. the distance a person hikes each week 6. SAT The table shows the numbers y of students (in thousands) who took the SAT from 006 to 00, where x = 6 represents the year 006. Use a graphing calculator to find an equation of the line of best fit. Identify and interpret the correlation coefficient. Year, x 6 7 8 0 Number of Students, y 66 5 5 530 58 7. RECYCLING You randomly survey shoppers at a supermarket about whether they use reusable bags. Of 60 male shoppers, 5 use reusable bags. Of 0 female shoppers, 60 use reusable bags. Organize your results in a two-way table. Include the marginal frequencies. 0 Chapter Data Analysis and Displays
Triangles ABC and DEF are congruent.. Which angle of DEF corresponds to C? B 5 cm cm E. What is the perimeter of DEF? Tell whether the blue figure is a translation, reflection, rotation, or dilation of the red figure. 3.. A 6 cm C D F 5. 6. 7. The vertices of a triangle are A(, 5), B(, ), and C(3, ). Reflect the triangle in the x-axis, and then rotate the triangle 0 counterclockwise about the origin. What are the coordinates of the image? 8. The vertices of a triangle are A(, ), B(, ), and C(5, ). Dilate the triangle with respect to the origin using a scale factor of. Then translate the triangle units left and unit up. What are the coordinates of the image? 5. Tell whether the parallelograms are similar. Explain your reasoning. 7 The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. 0. 8.. SCREENS A wide-screen television measures 36 inches by 5 inches. A movie theater screen measures feet by 63 feet. Are the screens similar? Explain. 3. CURTAINS You want to use the rectangular piece of fabric shown to make a set of curtains for your window. Name the types of congruent shapes you can make with one straight cut. Draw an example of each type. in. 6 in. 6 Chapter Transformations
3 Use the figure to find the measure of the angle. Explain your reasoning... 8 3.. 5 5 6 7 8 t 7 3 m n Find the measures of the interior angles. 5. 6. 7. 3 68 Find the measure of the exterior angle. 8.. p j 0 (p 5) (p 5) 0. Find the measures of the interior. Find the measures of the angles of the polygon. exterior angles of the polygon. 5 5 y (y 7) Tell whether the triangles are similar. Explain.. 6 3 70 3. y 70 y 35 55. WRITING Describe two ways you can find the measure of 5. A 65 3 5 6 8 7 05 m B 0 m C 80 m E d 5. POND Use the given measurements to find the distance d across the pond. D 36 Chapter 3 Angles and Triangles