Mourning Sr. High. Algebra II Summer Assignment. 3. If you need help, there are links provided on each page with extra help resources.

Transcription

1 Mourning Sr. High Algebra II Summer Assignment Pre AP Algebra students and Honors Algebra students must complete the entire assignment. Regular Algebra students complete the following: Fractions # s 3 Solving Linear Equations # s 4, 8 Linear Functions and Slopes # s 0 Linear Inequalities # s 3, 7 Solving Absolute Value Equations and Inequalities # s 4 Systems of Linear Equations # s 5 Factoring and Solving Quadratic Equations # s 3, 0, 5 Probability and Statistics # s 3, 5, 6, 9, 0 Directions:. Show all of your work.. Write the final answer on the line provided. 3. If you need help, there are links provided on each page with extra help resources. This assignment will be collected for a grade the first week of school.

2 ATM Algebra II Summer Assignment- Factions For Extra Help: Perform the operation. You MUST show your work. Write the answer as a fraction in lowest terms. You may leave your answer as an improper fraction. ) ) ) ) 3) ) 4) ) 5) ) 6) ) 7) )

3 8) ) 9) 5 9-9) 0) 7 8-0) ) 3 7 ) ) ) 3) ) 4) ) 5) )

4 6) ) 7) 3 7) 8) ) 9) 7 9) 0) ) ) ) ) ) 3) ) 3

5 ATM Algebra II Summer Assignment- Solving Linear Equations For Extra Help: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the linear equation. ) 4x - 0 = 6 ) ) 7x - (5x - ) = ) 3) 0x + = 9x + 7 3) 4) (3x - ) - 3 = 4(x + 6) 4) 5) 6[-5x (x + )] = -3x + 4 5) 6) x 4 = x ) 7) 5x 3 - x = x )

6 Solve the formula for the specified variable. 8) A = bh for b 8) 9) F = 9 C + 3 for C 9) 5 0) A = h(a + b) for a 0)

7 ATM Algebra II Summer Assignment- Linear Functions and Slopes For Extra Help: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the slope of the line that goes through the given points. ) (-9, 3), (-3, -5) ) ) (-3, 7), (-3, -9) ) Use the given conditions to write an equation for the line in point -slope form. 3) Slope =, passing through (4, ) 3) 4) Passing through (-3, -6) and (-4, -4) 4) Use the given conditions to write an equation for the line in slope -intercept form. 5) Slope = 6, passing through (5, 5) 5) 7 6) Slope = 5, y-intercept = 6) 9 7) Passing through (, 5) and (, 8) 7)

8 Graph the line whose equation is given. 8) y = 3x - y ) x 9) y = - 5 x - 9) y x Graph the equation in the rectangular coordinate system. 0) x = y 0) x

9 ) 4y = y ) x Graph the linear function by plotting the x- and y-intercepts. ) -5x - 5y - 30 = 0 0 y ) x -5-0 Use the given conditions to write an equation for the line in the indicated form. 3) Passing through (5, 4) and parallel to the line whose equation is y = x - 6; point-slope form 3) 4) Passing through (, ) and perpendicular to the line whose equation is y = 4x + 7; point-slope form 4) 5) Passing through (, 4) and perpendicular to the line whose equation is -7x + y - 7 = 0; slope-intercept form 5) 3

10 ATM Algebra II Summer Assignment- Linear Inequalities For Extra Help: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the linear inequality. Other than, use interval notation to express the solution set and graph the solution set on a number line. ) 4x + 3 < 3 ) ) x ) 3) 4x - 7 > 3x - 5 3) 4) x - 8 > 4(x - 7) 4) 5) x 7-6 x )

11 6) x x ) Solve the compound inequality. Other than, use interval notation to express the solution set and graph the solution set on a number line. 7) 4 < x 4 7) ) 9 7 x + < 30 8) Solve the problem. 9) ABC phone company charges $0 per month plus 8 per minute of phone calls. XYZ phone company charges $8 per month plus 0 per minute of phone calls. How many minutes of phone calls in a month make XYZ phone company the better deal? 9) 0) Claire has received scores of 85, 88, 87, and 90 on her algebra tests. What score must she receive on the fifth test to have an overall test score average of at least 87? 0)

12 ATM Algebra II Summer Assignment- Solving Absolute Value Equations and Inequalities For Extra Help: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the absolute value equation or indicate that the equation has no solution. ) x + 4 = 8 ) ) 5x + 6 = 4 ) 3) 3 x - 3 = 8 3) 4) 6x = 7 4) 5) x = 6 5)

13 Solve the absolute value inequality. Other than, use interval notation to express the solution set and graph the solution set on a number line. 6) x - 9 < 4 6) ) x ) 8) 7x > - 8)

14 ATM Algebra II Summer Assignment- Systems of Linear Equations For Extra Help: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. ) ) x + y =- y =-x ) y = 3x - 4 4y + x =-64 ) 3) -5x + 4y = 6 x - y = 0 3) 4) y = x - 3 4) y = 6 x - 5) x + y = - x - y = 8 5)

15 6) 3x + y =-3-3x - 9y = 4 6) 7) 4x - 7y = 5 -x + y = -0 7) 8) -3x + y = - -9x + 4y = -3 8) 9) 3x - 7y = 3-7x + 4y = -3 9) Solve the problem. 0) The manager of a bulk foods establishment sells a trail mix for $9 per pound and premium cashews for $3 per pound. The manager wishes to make 00 pounds of a trail mix-cashew mixture that will sell for $0 per pound. How many pounds of each should be used? 0)

16 ATM Algebra II Summer Assignment- Factoring and Solving Quadratic Equations For Extra Help: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Factor out the greatest common factor. ) 5x - 5x ) Factor the trinomial, or state that the trinomial is prime. ) x - 3x + 4 ) 3) x + 5x - 4 3) 4) 7x - 3x - 0 4) Factor the difference of two squares. 5) x ) 6) 4x - 8 6) Factor the perfect square trinomial. 7) x - 6x ) 8) 44x - 4x + 8) Solve the equation by factoring. 9) x = x ) 0) x + 8x - 0 = 0 0)

17 ) 7-7x = (4x + 9)(x - ) ) Solve the quadratic equation by the square root property. ) (x - 6) = 4 ) 3) 6x + 5 = 3) 4) 3(x - 8) = 6 4) Solve the quadratic equation using the quadratic formula. 5) x + x - 80 = 0 5) 6) x + 4x = 7 6) 7) x + 5x + = 0 7)

18 ATM Algebra II Summer Assignment- Probability and Statistics For Extra Help: Show your work and/or explain your reasoning. Show your work and/or explain your reasoning. 3 Show your work and/or explain your reasoning.

19 4 Show your work and/or explain your reasoning. 5 Show your work and/or explain your reasoning.

20 6 Show your work and/or explain your reasoning. 7 Show your work and/or explain your reasoning.

21 8 Show your work and/or explain your reasoning. 9 Show your work and/or explain your reasoning.

22 0 Show your work and/or explain your reasoning.