The Beginnings of Algebra Solving Equations Graphing Linear Equations Writing Linear Equations Linear Inequalities

The Beginnings of Algebra Evaluate

Answer 1 –

The Beginnings of Algebra 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 Evaluate When a = -2 and b = 3

Answer 1 – 300 1/23

The Beginnings of Algebra Simplify

Answer 1 – x – 18

The Beginnings of Algebra 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 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 inches tall.

Solving Equations Calculator Allowed 25.8 is 86% of what number?

Answer 2 –

Solving Equations 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 Graph the equation -2x + y = 3.

Answer 3 – 100 See student responses.

Graphing Linear Equations 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 Graph the function y = -3x + 1 with domain -1 < x < 5. Then identify the range of the function.

Answer 3 – < y < 4

Graphing Linear Equations 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 Evaluate the function for f(-5).

Answer 3 – 500 f(-2) = -11

Writing Linear Equations 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 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 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 The table below shows the cost of a half-gallon of ice cream from 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

Linear Inequalities Solve the inequality, it possible. Graph your solution. 3x + 5 < 2x - 1

Answer 5 – 100 x < -6

Linear Inequalities Solve the inequality, it possible. Graph your solution. 2|4x + 5| < 4

Answer 5 – 200

Linear Inequalities Solve the equation, if possible. 2|x + 12| + 9 = 5

Answer 5 – 300 Not possible

Linear Inequalities Graph the inequality. x + 2y > 6

Answer 5 – 400 See student responses.

Linear Inequalities 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 – x + 8y > 200