Mourning Sr. High. Pre-Calculus 2017 Summer Assignment. 2. Write the final answer on the line provided.

Size: px

Start display at page:

Download "Mourning Sr. High. Pre-Calculus 2017 Summer Assignment. 2. Write the final answer on the line provided."

Antony Skinner
5 years ago
Views:

1 Mourning Sr. High Directions: 1. Show all of our work. Pre-Calculus 017 Summer Assignment. Write the final answer on the line provided. This assignment will be collected the first da of school. You will also be given a test on these questions during the first week school. Check for updates on course sllabus and test dates.

2 Radicals and Rational Eponents Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use the product rule to simplif the epression. 1) 18 1) ) 180 ) 3) 3) Use the quotient rule to simplif the epression. ) 9 1 ) ) 3 ) ) ) Add or subtract terms whenever possible. 7) ) 8) ) 9) ) Rationalize the denominator. 11 ) ) 11) ) 1) 3-1) 13) ) 1

3 1) ) Evaluate the radical epressions or indicate that the root is not a real number. 1) 3 1) 1) 3 (-)3 1) 17) (-) 17) Simplif the radical epression. 18) ) 19) ) Add or subtract terms whenever possible. 0) ) Evaluate the epression without using a calculator. 1) 111/ 1) ) 811/ ) 3) 7/3 3) ) -3/ ) Simplif using properties of eponents. ) (3/3)(71/) ) ) 70 3/ 1/3 ) 7) (9) 1/ 7) Simplif b reducing the inde of the radical. 8) 8 8)

4 Factoring Polnomials Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Factor out the greatest common factor. 1) - 1 1) Factor the perfect square trinomial. 17) ) 18) ) ) ) 3) ( + ) + ( + ) 3) Factor the trinomial, or state that the trinomial is prime. ) ) Factor using the formula for the sum or difference of two cubes. 19) ) 0) ) ) ) ) - + ) 7) ) 8) ) 9) ) ) ) 11) ) 1) ) 13) ) Factor the difference of two squares. 1) - 0 1) 1) ) 1) - 1 1) 3

5 Functions and Their Graphs Name Give the domain and range of the relation. 1) {(11, -3), (-, -7), (-, -), (-, )} 1) ) 3 1 ) Determine whether the relation is a function. 3) {(-1, -), (, -), (, 9), (8, -), (, 3)} 3) ) {(-, 8), (-, -), (, -8), (, -8), (9, )} ) ) )

6 ) ) 7) 7) Identif the intercepts. 8) 8) Evaluate the function at the given value of the independent variable and simplif. 9) f() = - + 1; f(-3) 9) ) h() = - ; h(19) ) 11) f() = + 0; f(-) 11)

1) f() = + ; f(-3) 1) 3 + 13) The total cost in dollars for a certain compan to produce empt jars to be used b a jell producer is given b the function C() = 0.3 + 18,000.

7 1) f() = + ; f(-3) 1) ) The total cost in dollars for a certain compan to produce empt jars to be used b a jell producer is given b the function C() = ,000. Find C(0,000), the cost of producing 0,000 jars. 13) Use the graph to find the indicated function value. 1) = f(). Find f(-) 1) The graph below shows the percentage of students enrolled in the College of Engineering at State Universit. Use the graph to answer the question. 1) Does the graph represent a function? 1) 1) If f represents the function, find f(000). 1) 17) If f represents the function, find f(198). 17)

8 Linear Functions and Slope Name 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. 1) (-9, 3), (-3, -) 1) ) (-3, 7), (-3, -9) ) 3) (, 8), (-, 8) 3) ) ( 1, -1) and ( 1, -) ) Use the given conditions to write an equation for the line in point -slope form. ) Slope =, passing through (, ) ) ) Passing through (7, ) and (8, 8) ) 7) Passing through (1, -) with -intercept = -1 7) Use the given conditions to write an equation for the line in slope -intercept form. 8) Slope = -3, passing through (7, ) 8) 9) Passing through (, ) and (1, 8) 9) ) Passing through (-, -) and (-, -) ) Determine the slope and the -intercept of the graph of the equation. 11) + + = 0 11) 1) = 0 1) Solve. 13) The average value of a certain tpe of automobile was $1,00 in 1993 and depreciated to $70 in Let be the average value of the automobile in the ear, where = 0 represents Write a linear equation that models the value of the automobile in terms of the ear. 13) 1) A faucet is used to add water to a large bottle that alread contained some water. After it has been filling for seconds, the gauge on the bottle indicates that it contains 13 ounces of water. After it has been filling for 11 seconds, the gauge indicates the bottle contains ounces of water. Let be the amount of water in the bottle seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of. 1) 7

9 Use the given conditions to write an equation for the line in the indicated form. 1) Passing through (, ) and parallel to the line whose equation is = - ; point-slope form 1) 1) Passing through (, ) and perpendicular to the line whose equation is = + 7; point-slope form 1) 17) Passing through (, 3) and parallel to the line whose equation is = ; point-slope form 17) 18) Passing through (, -) and parallel to the line whose equation is = ; slope-intercept form 18) 19) Passing through (, ) and perpendicular to the line whose equation is = ; 19) slope-intercept form 0) Passing through (, 3) and parallel to the line whose equation is = 0; slope-intercept form 0) 8

10 Sstems on Linear Equations Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the sstem of equations b the substitution method. 1) = =- 1) ) 3) = = 0 = 3 - = - 1 ) - = = -17 ) 3) ) Solve the sstem b the addition method. ) 3 + = = ) = 3 + = ) ) 7) + = -1 + = 30 7) 8) -3 + = = -3 8) Solve the sstem b the method of our choice. Identif sstems with no solution and sstems with infinitel man solutions, using set notation to epress their solution sets. 9) + = - 9) + = 1 ) 3 + = 9 + = 18 ) 11) + = - - = 1 11) Solve the problem. 1) The sum of two numbers is -7. If one number is subtracted from the other, their difference is -3. Find the numbers. 1) 9

11 13) The manager of a bulk foods establishment sells a trail mi for $9 per pound and premium cashews for $13 per pound. The manager wishes to make 00 pounds of a trail mi-cashew miture that will sell for $ per pound. How man pounds of each should be used? 13) 1) Ellen wishes to mi cand worth $1.00 per pound with cand worth $.9 per pound to form pounds of a miture worth $1.0 per pound. How man pounds of the more epensive cand should she use? 1) 1) Ellen wishes to mi cand worth $.11 per pound with cand worth $3.91 per pound to form 18 pounds of a miture worth $.71 per pound. How man pounds of the more epensive cand should she use? 1) 1) The Famil Fine Arts Center charges $ per adult and $ per senior citizen for its performances. On a recent weekend evening when 7 people paid admission, the total receipts were $7190. How man who paid were senior citizens? 1) 17) A bank teller has 8 $0 and $ bills in her cash drawer. The value of the bills is $. How man $0 bills are there? 17) 18) A rectangular lot whose perimeter is 380 feet is fenced along three sides. An epensive fencing along the lotʹs length costs $3 per foot, and an inepensive fencing along the two side widths costs onl $1 per foot. The total cost of the fencing along the three sides comes to $0. What are the lotʹs dimensions? 18)

12 Sstems of Inequalities Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Graph the inequalit. 1) - > -3 ) + < ) < - ) ) Graph the solution set of the sstem of inequalities or indicate that the sstem has no solution. )

13 7) < - + > 3-3 ) + < + > ) ) < >

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

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