Transcript y - Concordia Shanghai Teacher Websites

The
Solving
Beginnings
Equations
of Algebra
Graphing
Linear
Equations
Writing
Linear
Equations
Linear
Inequalities
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
The Beginnings of Algebra - 100
Evaluate
Answer 1 – 100
31
The Beginnings of Algebra - 200
• Write an expression for the statement:
The product of 5 and the quantity x minus 2 is 13
Answer 1 – 200
5(x – 2) = 13
The Beginnings of Algebra - 300
Evaluate
When a = -2 and b = 3
Answer 1 – 300
1/23
The Beginnings of Algebra - 400
Simplify
Answer 1 – 400
-9x – 18
The Beginnings of Algebra - 500
Tell whether
is a real number, rational number, irrational
number, integer, or whole number. List all that
apply.
Answer 1 – 500
Real, Rational
Solving Equations- 100
Answer 2 – 100
x = 96
Solving Equations- 200
Answer 2 – 200
a=8
Solving Equations - 300
• Students are going to create a model of
Concordia for a project they are doing. The
ratio of the model to the actual size is 2 inches
: 25 feet. Estimate the length of the building if
the model is 9 inches tall.
Answer 2 – 300
The building is
approximately 212.5 inches
tall.
Solving Equations - 400
Calculator Allowed
25.8 is 86% of what number?
Answer 2 – 400
30
Solving Equations - 500
• Caden is giving gymnastics lessons and
charges $24 per class and a one-time
registration fee of $15. A student paid a total
of $687 to Caden. Write and solve an
equation to find the number of classes the
student took.
Answer 2 – 500
The student took 28 classes.
Graphing Linear Equations - 100
Graph the equation -2x + y = 3.
Answer 3 – 100
See student responses.
Graphing Linear Equations - 200
Find the x- and y-intercepts of the graph of
each of the following equations. Then use
the intercepts to graph each equation.
2x + 7y = 28
Answer 3 – 200
See student responses.
Graphing Linear Equations - 300
Graph the function y = -3x + 1 with
domain -1 < x < 5. Then identify the
range of the function.
Answer 3 – 300
-14 < y < 4
Graphing Linear Equations - 400
Given that y varies directly with x, use the
specified values to write a direct variation
equation that relates x and y.
x = 2, y = -26
Answer 3 – 400
y = -13x
Graphing Linear Equations - 500
Evaluate the function for f(-5).
Answer 3 – 500
f(-2) = -11
Writing Linear Equations - 100
Write the equation of the line that
passes through the point (-5, 8) and
has a slope of 2.
Answer 4 – 100
y = 2x + 18
Writing Linear Equations - 200
Write an equation for the linear
function f with the given values f(0) = 5
and f(-3) = 6.
Answer 4 – 200
Writing Linear Equations - 300
Write an equation of the line that passes
through (4, -5) and is perpendicular to the
line
Answer 4 – 300
Writing Linear Equations – 400
Your school club is making cookies for an
upcoming school dance. On the morning
of the dance, your group makes 5 batches
of dough that yield 7.5 dozen cookies. In
the afternoon, your group makes 7 batches
of dough that yield 10.5 dozen cookies.
Write an equation that gives the number of
dozen cookies as a function of the number
of batches made.
Answer 4 – 400
y = 1.5x
Writing Linear Equations - 500
The table below shows the cost of a half-gallon
of ice cream from 1997-2001.
Year
1997
1998
1999
2000
2001
Cost (dollars)
3.02
3.30
3.40
3.66
3.84
Let x represent the number of years since 1997
and let y represent the cost of a half-gallon of
ice cream. Find an equation that models the
cost (in dollars) of a half-gallon of ice cream as a
function of the number of years since 1997.
Answer 4 – 500
y = 0.2x + 3.04
Linear Inequalities - 100
Solve the inequality, it possible. Graph
your solution.
3x + 5 < 2x - 1
Answer 5 – 100
x < -6
Linear Inequalities - 200
Solve the inequality, it possible. Graph
your solution.
2|4x + 5| < 4
Answer 5 – 200
Linear Inequalities - 300
Solve the equation, if possible.
2|x + 12| + 9 = 5
Answer 5 – 300
Not possible
Linear Inequalities - 400
Graph the inequality.
x + 2y > 6
Answer 5 – 400
See student responses.
Linear Inequalities - 500
You are planning on two summer jobs at the
American Club. You earn $10 per hour tutoring
math and $8 per hour coaching swimming. Let x
represent the amount of time (in hours) you
tutor math each week and let y represent the
amount of time (in hours) you coach swimming
each week. Your goal is to earn at least $200
per week. Write and graph an inequality that
describes your goal in terms of x and y.
Answer 5 – 500
10x + 8y > 200