Name: ______Period: ______Date: ______
Linear Equations – Day 16: Review Sheet #2
DONOW:
Kathy purchased just enough fencing to border either a rectangular or a triangular garden, as shown, whose perimeters are the same.
OBJECTIVE: By the end of this lesson, I should be able to ______
______
DEMO # 1: Solve the following equations. Don’t forget the 3 steps to solving word problems!!!
1)The daily cost of renting a car is $50 plus $0.45 per mile traveled. If Paul paid $147.20 for a day’s rental, how many miles did he travel?2)A rectangular desktop has a length of 3(x + 2) units and a width of x -7 units. [3 points]
a)Write an equation to find the value of x if the perimeter is 94 units. Solve the equation for x.
b)Find the length and the width of the rectangle.
3)Amy the decorator charges $40 for an initial consultation then $80 per hour. George the decorator just charges $90 per hour. How long is a job for which the two decorators charge the same price?
Your Turn!!!!! Solve the following equation.Don’t forget the 3 steps to solving word problems!!!
1)For her cellular phone service, Vera pays $32 a month, plus $0.75 for each minute over the allowed minutes in her plan. Vera received a bill for $47 last month. For how many minutes did she use her phone beyond the allowed minutes?a)Define the variable(s):
b) Write an equation and solve it:
c)Answer in a full sentence ______
2)Suppose you are sewing a braid border on the edges of a quilt. The quilt is 20 in. longer than it is wide. You need 292 in. of braid to cover the edges of the quilt. What are the dimensions of the quilt?
a)Define the variable(s):
b)Write an equation and solve it:
Answer in a full sentence ______
3)Marlo wants to rent and ride a bike at a state park. There are two parks in his area. One has an entrance fee of $8 and charges $2 per hour for bike rentals. The other park has an entrance fee of $2 and charges $5 per hour for bike rentals. After how many hours would the cost of renting and riding a bike be the same at both parks? What would the cost be?
HOMEWORK:
1)Mr. James wanted to plant a garden that would be in the shape of a rectangle. He was given 80 feet of fencing to enclose his garden. He wants the length to be 10 feet more than twice the width. What are the dimensions, in feet, for a rectangular garden that will use exactly 80 feet of fencing?2)In the accompanying diagram, the perimeter of is equal to the perimeter of
square ABCD. If the sides of the triangle are represented by 4x + 4, 5x – 3, and 17, and
one side of the square is represented by 3x, find the length of a side of the square.
3)The cost of renting a car is $5 for the first day plus $20.50 each additional day the car is used. If Alex paid $169.00 for his rental, how many days did he rent the car?
4)Suppose you are fencing a rectangular dog pen with 100 ft of fencing. The width is 10ft less than the length. What are the dimensions of the dog pen? (Hint: draw a picture)
5)The length of a square is 3n - 5 and its perimeter is 28 in.
6)Hans needs to rent a moving truck. Suppose Company A charges a rate of $40 per day and Company B charges $60 plus $20 per day. How long is a job for which both companies will charge the same amount? What will the cost be?
7) A number decreased by 30 is the same as 14 minus 3 times the number. Write an equation and solve.
8) Jesse has 68 feet of stone border to enclose a rectangular garden. She wants the length of the garden to be 8 feet less than twice the width. Find the dimensions of the rectangular garden.