4) A high school graduating class is made up of 550 students. There are 144 more boys than girls. How many girls are in the class?

Transcription

1 Math 110 FYC chapter and 4 Practice The actual text is different Solve. 1) The difference of four times a number and seven times the same number is 9. Find the number. 1) 2) x - 1 = ) ) 5 4 x = ) 4) A high school graduating class is made up of 550 students. There are 144 more boys than girls. How many girls are in the class? 4) 5) 5 x = ) 6) A nail 1 2 inches long is driven into a board protrudes from the other side of the board? inches thick. How much of the nail 6) ) On a recent trip, Asha drove 266 miles on gallons of gasoline. How many miles ) would we expect the car to travel on 1 gallon of gas? ) x + 1 = 1 ) 9) x = 20 + x 4 9) 10) Jackie and her friend Warren ran for an open position on the board of directors of their favorite organization. Jackie received twice the votes that Warren received. There were 120 ballots cast. How many votes did Jackie receive? 10) 11) x 9 - x = 9 11) 12) 4x x = ) 1

2 Perform the indicated operation and write the answer in simplest form. 1) Find the average of 2 6,, and ) 14) 14) ) ) 16) ) 1) ) 1) 1a 2 4a 1) 19) ) 20) ) 21) ) 22) x 22) 2) ) 24) xy 2 z z xy 24) 2

3 25) 1 25) ) a ) 2) 5x 1 + x 1 2) 2) ) 29) y - 16y 29) 0) ) Add or subtract as indicated. Write the answer in simplest form. 1) 2 + x 1) 2) 9-4 2) ) ) Translate the sentence into an equation. If needed, use x to represent "a number." 4) Five added to three times a number equals ) 5) The sum of twice 5 and -14 is -4. 5) Solve the equation. 6) 2(x - ) = ) ) 2(y + ) = (y - ) ) ) x 5 + = -2 )

4 9) x - 4-2x - 6 = 2 9) 40) (x - 4) = 2x 40) 41) n - 6 = 41) 42) -4x + = 15 42) 4) -21 = 4y - y 4) 44) 6(2x + ) = 2(4x + 9) 44) 45) 1 + 2(n - 1) = 41 45) 46) x 2 = -1 - (-) 46) 4) 4(x - ) = 0 4) 4) = 90y y 4) 49) 5x + 2 = x ) 50) -2(x - 10) - 6 = ) 51) x x = -5-2x ) Write the fraction in simplest form. 52) - 65x 5 52) 5) ) 54) 0k 6k 54) 55) ) 56) ) 4

5 Multiply. Write the answer in simplest form. 5) ) 5) 2 12x 10 5) Evaluate the expression for the given replacement values. Write the answer in simplest form. 59) x - y for x = 9 11, y = ) Simplify. 60) ) The circle graph below shows us how an average consumer spends money. Use this information to answer the question. 61) Suppose your family spent $4,000 on the items in the graph above. How much might we expect was spent on other? 61) 62) What fraction of spending goes for the categories clothing and transportation combined? 62) 6) What fraction of spending goes for the categories education, transportation, and other combined? 6) Evaluate the expression for the given replacement values. 64) x y; x = 1 6, y = 1 64) 65) -9x; x = ) 5

6 Write the improper fraction as a mixed or whole number. 66) 61 66) Divide and simplify. 6) ) 6) 15x 2 40y 25x 64y 6) 69) y 69) Find the perimeter and area of the figure. 0) 0) 1 9 foot 6 1 foot Evaluate. 1) ) Multiply. 2) -2(1v) 2) ) 2(4x + ) ) Simplify the expression. 4) -6(4y + 2) - 2 4) 5) (x - ) - 9x 5) Find the prime factorization of the number. 6) 19 6) ) 252 ) 6

7 Simplify the complex fraction. ) ) ) ) 0) 6x 1 2x2 1 0) 1) ) Find the perimeter or area of the figure as indicated. 2) Find the perimeter of the regular hexagon. 2) Each side: (x - ) kilometers Determine whether the pair of fractions is equivalent. ) and ) Translate the phrase into a mathematical expression. If needed, use x to represent "a number." 4) The sum of -9 and a number. 4) 5) Five times a number, subtracted from -9. 5) Simplify the expression by combining like terms. 6) 5x - 10x + x 6)

8 ) -b + a - 4c + 5b - a ) Provide an appropriate response. ) Write an expression that represents the area of the rectangle. Simplify the expression. ) meters (2x - 5) meters 9) Simplify x + - x + by combining like terms. 9) 90) Multiply: -4(y + 6) 90) 91) Simplify: -5(z + 2) - z ) 92) Write an expression that represents the perimeter of the equilateral triangle (a triangle with three sides of equal length). Simplify the expression. 92) 2x + inches Write the mixed number as an improper fraction. 9) 2 9 9) 94) ) Add or subtract as indicated. Write the answer as a mixed number in simplest form. 95) ) Insert < or > to form a true sentence. 96) )

9 Determine whether the fractions are equivalent. 9) 6 99 and 2 9) 9) 2 and 6 9) Decide whether the given replacement value is a solution of the given equation. 99) Is 5 a solution to - 1 x = 5? 99) Write the prime factorization of the number. 100) ) Write a fraction to represent the shaded area. 101) 101) Write the sentence as an equation. Use x to represent "a number." 102) Eleven subtracted from seven times a number is equal to ) Write the improper fraction as a mixed number. 10) ) Perform the indicated operation. Write the answer as a mixed number in simplest form. 104) ) Solve. Write the fraction in simplest form. 105) A storehouse stores 620 different inventory items. 4 5 many of the inventory items are perishable? of these items are perishable. How 105) Perform the indicated operations. Write the answer in simplest form. 106) ) 9

10 Answer Key Testname: 110CH&4P 1) - 2) 2 5 ) 4 4) 20 girls 5) ) in. ) mi ) -6 9) ) 0 votes 11) ) 10 1) ) ) 16) 6 1) - 6 1) a2 19) 12 20) ) ) x - 6x 2)

11 Answer Key Testname: 110CH&4P 24) y 25) 9 26) 2) x 1 a ) 6 29) - 9 y 0) ) x + 6 2x 2) - 19 ) 1 6 4) x + 5 = -25 5) (-14) = -4 6) 2 ) 2 ) -25 9) 40) - 41) 42) - 4) - 44) 0 45) 46) 14 4) 4) 11 49) 2 50) 51) -9 52) - 1x 15 5) 11 54) 5k 2 11

12 Answer Key Testname: 110CH&4P 55) ) 5 5) 6 5) 12x 5 59) 11 60) ) $ ) 10 6) 64) ) 45 66) 5 6) 10 6) 24x 25 69) - 1y 15 0) perimeter: ft; area: 2 9 1) ) -26v ) x ) -24y ) -6x ) ) 22 2 ) 10 5 sq ft 9) 12

13 Answer Key Testname: 110CH&4P 0) 1x 1) 5 2) (4x - 42) km ) not equivalent 4) -9 + x 5) -9-5x 6) -4x ) -5a - 2b - 4c ) (16x - 40) sq m 9) 5x ) -2y ) -16z ) (6x + 24) in. 9) ) ) ) > 9) equivalent 9) not equivalent 99) No 100) ) ) x - 11 = 1 10) ) 0 105) 496 items 106) 5 2 1