Additional Eercises.. List the terms in the epression. List the terms in the epression 4 8 +.. 5 4 w + w w... Determine if and Combine like terms when possible. 6 are like terms. Answer yes or no.. 4. 7 + y + 4y 4. 5. 7y+ 4y 4 5. 6. p 7 0 p+ 9 6. 7. 8 y+ ( 4) + 5 + ( y) 6 7. 8. 4.7 +.9+ 5.+. 8. 9. p + 4p 8p + p 7 9. Use the distributive property to remove parentheses. 0. 5( + y) 9.. 0.4( 6.k ) 0.. (+ y ).. 4 6 y +. 4..5(4.y.8) 4. Simplify when possible. 5. (+ 4y ) 5. 6. 5(4 y ) 6. 7. 4 (4 + ) 5 7. 8. 5 ( a b) 4b ( a b) + + 8. 9. 0.4(8 ) + 5 9. 0. ( 5) ( 6) 0. 5
Additional Eercises.. Is 5= 7 a linear equation? Answer yes or no... Is 8 + 9+ 4= a linear equation? Answer yes or no... Is a solution of the equation 6 + 6= 5?. 6 4. Is a solution of the equation + 6=? 4. 5. Is 5 a solution of the equation 8=? 5. 6. Does the number 8 satisfy the equation = 9? 6. Solve each equation. 7. + 6 = 8 7. 8. 8 = m 7 8. 9. 58 = t + 9. 0. + 5 = 0.. ( 9) =.. = 5.. 5 = m 6. 4. 5 = 6 + c 4. 5. 9 = 9 5. 6. 4.8 + =.65 6. 7. 8 + = 5 7. 8..4 + =.5 8. 9. 6.75 = 4.5 9. 0. 4 =65 0. 5
Additional Eercises. Solve each equation.. = 4.. =.. 4 = 4m. 4. = 4 4. 5. 6. = 8 7 5. = 7 6. 7. = 4 7. 8. = 8. 9. = 5 9. 0. 4 = 0.... 4. 5. 6. 7. = 5. = 5 9. 5 5 =. 6 0 5 = 4. 4 p = 8 5. = 4 6. 7 = 68 6 7. 8..q = 0.0 8. 9. 0. 9 45 5 = 9. 4 6 9 = 0. 5
Additional Eercises.4 Solve each equation.. 4 4= 40.. 9 7= 4.. 7 y 6= 8. 8 4. 0 = 6 4. 5. 4 = 5. 6. 9+ = 9 6. 7. = 7. 5 8. = 8. 7 9 9. 0.. + z = 5 9. 4 d 9 = 0. 4 5 y 4= 6. 9. + 0.4 =.5.. 5( ) = 45. 4. ( + 7) = 9 4. 5. 0.4(0.5 8) = 5. 6. 8= ( 5) + 6 6. 7. = 7( + 4) + 9 7. 8. = ( ) + 8. 9. n + = 9. 4 5 0..65 7.4 +. =.76 0. 54
Additional Eercises.5 Solve each equation.. 5 =.. 8 = + 0.. + = 4. 4. c 4= c+ 4. 5. 5 = 4 5. 6. 4 5= 7 6. 7. + 9= (5 4) 7. 8. ( 4) = 6 + 8. 9. 5 m + = 9. 4 8 0. 4( + 8) = + 4 0.. + = (4 ).. ( + ) = 5 +.. ( 6) = 0 +. m 4. 4= m 4. 5. + 9 = + 0 5. 6. + + 8 = 5+ 4+ 6 6. 7. 8 + = 6+ 4 7. 8. 0 + + 0 = + 7 8. 9. 6+ = 5( ) ( ) 9. = + 0. 5 0. ( 0 0) ( 4 ) 55
Additional Eercises.6 For questions 6, use the formula to find the value of the variable indicated. Round all answers to hundredths.. C = πr; (circumference of a circle), find C when π =.4 and. r = 9 inches.. A = π r ; (area of a circle), find A when π =.4 and. r =.5 feet.. P = l + w; (perimeter of a rectangle), find P when l = 5.9. and w = 4.. 4. P = l + w; (perimeter of a rectangle), find P when l = 4. 4. and w =.7. 5. A = bh ; (area of a triangle), find h when A = 0 and b = 5. 5. 6. A = bh ; (area of a triangle), find h when A = 4 and b =. 6. 7. Solve for A in B = ( A ). 7. 5 8. Solve 5 y = 4, for y. Write the answer in y = m+ b form. 8. 9. Solve for F in C = 5 ( F ). 9. 9 0. Solve y 4 ( ) = +, for y. Write the answer in y = m+ b form. 0.. Solve for t in I = Prt... Solve for t in the equation A = 6s t... Solve C = πr for r.. 4. A package in the shape of a rectangular solid is to be wrapped for. 4. shipping. If the length is 8 inches, the height is 5 inches and the width is 4 inches, how much paper is needed to wrap the package? 5. A can of soup in the shape of a right circular cylinder is 5 inches 5. tall and has a radius of.5 inches. How much soup will the can hold? 6. A circular swimming pool with a 6-foot diameter is surrounded 6. by a concrete path that is 4 feet wide. What is the area of the path? 7. First State Bank charges 8% simple interest on personal loans. 7. What is the total interest on a $00 loan over three years? 8. Find the interest earned on $900 invested at 5.5% for 5 years. 8. 9. The formula for finding the simple interest (I) on the loan is 9. I = PRT. How much interest will Bill pay on his car loan if he finances $7,000 (P) at a % simple interest rate (R) for 4 years. 0. Find the interest earned on $000 invested at 8.5% for months. 0. 56
Additional Eercises.7 For problems 6, find the ratio. Write each ratio in lowest terms.. A history class consists of 7 males and 5 females. Find the ratio. of males to the entire class.. Find the ratio of quarters to 0 nickels... Find the ratio of 5 days to one week.. 4. A science class consists of 4 males and females. Find the 4. ratio of females to males. 5. Find the ratio of 4 hours to 40 minutes. 5. 6. Find the ratio of 6 days to one week. 6. Solve for the variable by cross-multiplying. 7. 5 5 = 7. j 4 8. 0 0 = 4 8. 9. 0. = 9. j 5 = 0. 5 5 The figures below are similar. For each pair, find the length of the side indicated with an... 60 9 8.5. A 9 D. B C E 7 F. 4. 7 0. 4. 4. 9 7 8.8 57
Additional Eercises.7 (cont.) 5. A worker in an assembly line takes 6 hours to produce 6 parts. 5. At that rate how many parts can she produce in 0 hours? 6. If 0 gallons of insecticide can treat 5 acres of land, how many 6. gallons of insecticide are needed to treat 4 acres of land? 7. In 967 the world population was.5 billion and in 006 it had 7. climbed to 6.5 billion. What is the ratio of the world population in 967 to the world population in 006? 8. The protein RDA for males is 64 grams per day. Three ounces 8. of a certain product provide 4 grams of protein. How many ounces of the product are needed to provide 64 grams of protein? 9. Convert 9 inches to feet. 9. 0. Convert 44 ounces to pounds. 0. 58
Additional Eercises.8 Solve each inequality and graph the solution on the real number line.. + 4.. 4> 4.. + 5< 4. 4. 7 5 4. 5. > 5 5. 6. 9 4 9 6. 7. 5 + 7. 8. 4 < 5 8. 9. 5 7 > + 9. 0. 9 8 0 6 0.. + ( 4) < 0.. ( + ) > 4+ 8.. 5( + 4) > 5. 4. ( + 4) < 6 + 4. 59
Additional Eercises.8 (cont.) 5. + > + 6+ 5. 6. + + > 5 5+ 6. The chart shows the 006 median income for each of the congressional districts in Colorado. Use the chart for problems 7 0. Colorado Median Income by Congressional District District 7th 6th 5th 4th rd nd st 48.0 49. 44.8 40.0 57.6 4.0 76.9 0 40 60 80 Median Income ($,000) 7. Find the districts where the median income was > $50,000. 7. 8. Find the districts where the median income was < $50,000. 8. 9. Find the districts where the median income was $60,000. 9. 0. Find the districts where the median income was $40,000. 0. 60