Linear Equations
Refer to the graph of Sue's bike ride. What is the meaning of the ordered pair (8,40)?
After 8 seconds Sue's bike has traveled 40 meters.
Refer to graph B on your resource sheet. When writing the inequality for the graph, would the inequality symbol be with or without the line under it?
Would the ordered pair (-1,3) be a possible solution?
Without the line.
(-1,3) would not be a solution because it is on a dotted line which means the points on the line are not solutions.
A system has __________ when two lines intersect at one point.
(one solution, no solution, or infinite solutions?)
One solution
Refer to problem D on your resource sheet and select the correct graph for the system of inequalities.
A
Which equation is NOT equivalent to 6x + 9y = 24?
a) 60x + 90y = 240
b) 9y = 6x + 24
c) 2x + 3y = 8
d) 9y = -6x + 24
b) 9y = 6x + 24
A restaurant charges $8.99 for cheese pizza and $0.50 for each additional topping. Jade has $11.19 in her pocket. Which inequality found on your resource sheet represents to possible number of toppings Jade can get with her money?
C
Which of the following is not a method for solving a system of equations?
(Elimination, Difference of Squares, Substitution, or Graphing?)
Difference of Squares
Refer to figure E.
Which point is a solution?
(0,6), (1,0), (-3,6), or (-4,2)?
(1,0)
Solve for y
-5x + 10y = -30
y = 0.5x - 3 OR y = 1/2 x - 3
Is (-1,0) a solution to the inequality y < -2x - 2?
No
A system has ______ when two equations have the same slope but different y-intercept and are parallel.
(one solution, no solution, or infinite solutions?)
No Solution
Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She is only allowed to work fewer than 13 hours per week. She wants to make more than $65. Write a system of inequalities to represent the situation.
Use x for the number of hours she babysits.
Use y for the number of hours she tutors.
x + y < 13
4x + 7y > 65
The graph of the equation y = -2x + 3/2 is shown on graph A.
Which ordered pair is not a solution?
a) (2,1)
b) (3,2.5)
c) (0,-2)
d) (1,2)
d) (1,2)
What type of line (solid or dashed) is used for the following symbols, < and >?
Dashed
Solve the system.
y = 4x - 10
y = 3x - 5
(5,10)
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing.
Select the correct systems of inequalities that represents this situation (Refer to F on your resource sheet)
Set 1
A local pool has a membership fee. There is an additional cost for each time you use the pool. Refer to the graph showing the cost of using the pool depending on the number of times you visited the pool. This scenario is represented by the equation
y = 5x + 40
What does the 5 and the 40 mean in context of the scenario?
It costs $5 for each visit.
The membership fee is $40.
Refer to C on your resource sheet and select the correct graph for the inequality given.
B
Solve the system.
y + 3x = 10
-y + 2x = 5
(3,1)
Refer to graph G on your resource sheet. Which region represents the solution to the system of the two inequalities?
D