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The Beginnings of Algebra
Solving Equations
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 Allowed25.8 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.
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
