Algebra Unit 5 HW Day 1 SOLVING GRAPHICALLY

Graph the following systems:

x  2y  12 y  3x  2 1)  2)  y  2x  6 6x  2y 10

3) x  3y  9 4) Solve for this system using your graphing x  3 calculator. [You will still need to put each equation into y = mx + b form before inputting them to your calculator].

3 1 13 x  y  4 4 2

3 13 x  y  4 2

Use your calculator to check the solutions for the following systems of equations: 5) 1.6x  3.2y  24 6) x  2y  1 2.6x  2.6y  26  2x  y  4

Review:

7. Given the function h(x)  3x  7 , find x when h(x) = 25

8. At Joe’s Clown Car rental agency, renting a car costs $35 plus $0.75 for every mile driven. What is the equation that can be used to find the number of miles, m, a vehicle was driven, if the total charge was $222.50?

(1) 222.5 = 35 + 0.75m (3) 222.5 = 0.75 + 35m (2) 222.5 = 0.75(m + 35) (4) 222.5 = m(35 + 0.75)

Algebra Unit 5 HW Day 2 SOLVING ALGEBRAICALLY

Solve the following systems algebraically: 3x  2y  4 4x  5y  18 1) 2) 2y  8  5x 3x  y 11

1 3x  y  3 3d  20  2w 3) 4) 8 d 1.2w  6.4 2x  3y  3 Review: 5. Mr. Mahoney is describing a function to his students. He says that the output is equal to five less than three times the input. Which of the following equations models this relationship?

(1) f(x) = 5 – 3x (2) f(x) = 3(x – 5) (3) f(x) = 3(5 – x) (4) f(x) = 3x – 5

6. Which of the graphs below shows the solution set of -3  x  6 ?

(1) (3)

(2) (4)

x + 8 x 7. Solve for x: = ? 15 5

Algebra Unit 5 HW DAY 3 MORE SOLVING ALGEBRAICALLY

Solve the following systems algebraically:

3x  5y  11 2x  4y  8 1) 2) x  2y  4 x  5y  3 3g  2p  3 3x  2y  4 3) 4) 1 g  p 2x  3y 11

Review:

5. What interval notation represents the data graphed below?

(1) (1, 4] (2) [4, 1) (3) (4, 1) (4) (1, 4)

2 6. Solve for x: 18  x  6 5 7. Write an equation of a line that is perpendicular to 3y  5x  9 .

EXTRA CREDIT: Solve the following system algebraically:

3 3 x  y  3 5 4 1 2 y  x  8 3 5

Algebra Unit 5 HW Day 4 APPLICATION WP

1) A baseball manager bought 4 bats and 9 balls for $76.50. On another day, she bought 3 bats and 1 dozen balls at the same prices and paid $81.00. How much did she pay for each bat and each ball? 2) For 30 minutes you do a combination of walking and jogging. At the end of your workout, your pedometer displays a total of 2.5 miles. You know that you walk 0.05 mile per minute and jog 0.1 mile per minute. How much time were you walking? How much time were you jogging?

3) One admission to a roller skating rink costs x dollars and renting a pair of skates costs y dollars. A group pays $243 for admission for 36 people and 21 skate rentals. Another group pays $78 for admission for 11 people and 7 skate rentals. How much does it cost for admission?

1 4) The measure of the smaller of two supplementary angles is 6 more than the 2 measure of the larger angle. Find the degree of the measure of each angle.

5) Max and his father Kirk are comparing their ages. They know that the sum of their ages is 52 and that Kirk is seven years older than four times Max’s age.

a) If Max’s age is represented by m and Kirk’s age by k, write a system of equations that describes the two relationships from the problem. b) Solve the system using substitution to find both of their ages.

REVIEW:

6) Write the equation of a line that has undefined slope and passes through the point (7, -6).

7) Write the equation of a line that has zero slope and passes through the point (-3, 4).

Algebra Unit 5 HW DAY 5 SOLVING APPICATONS WP GRAPHICALLY

1) a) The U-Drive-IT car rental agency rents cars for $50 a day with unlimited free mileage. Write an equation to show the cost of renting a car from U-Drive-IT for one day, y, if the car is driven for x miles.

b) The Safe Travel car rental agency rents cars for $30 a day plus $0.20 a mile. Write an equation to show the cost of renting a car from Safe Travel for one day, y, if the car is driven for x miles.

c) Draw, on the same set of axes, the graphs of the equations written in parts a and b. Watch your scales on the axes!!! d) If Greg drives the car he rents for 200 miles, which agency offers the less expensive car?

e) If Sarah drives the car she rents for 50 miles, which agency offers the less expensive car?

f) If Phillip finds the price that both agencies will be the same, how far is he planning on driving the car? 2.

3. Write an example of the Associative Property: ______

4. a) If n – 7 represents an odd integer, what would be the next greater odd integer?

b) If n – 7 represents an even integer, what would be the next greater even integer?

5. Graph the following inequality on the grid:

 4y 16  2x