Capstone

Unit 1: Modeling Linear Functions

100

Using the integers −9 and 9  create a function

f(x)=9x-9

200

Using  the integers -11 and 3 create a function

f(x)=-11x+3

300

Solve the equation: 2x + 5 = 11

3

400

Write an algebraic expression for the phrase "three times a number plus seven"

3x+7

500

 What is the value of x if 5(x - 2) = 15?

5

Unit 2: Analyzing Linear Inequalities

100

Solve for x   2x = 6

3x

200

Find the slope of the line passing through the points (1, 2) and (3, 8). 

You can use your Calculator!

The slope of the line is 3. 

300

Solve for x: 2(x + 3) = 10

2x+6=10

400

Solve the inequality: 3x - 5 > 7

x>4

500

Solve the system of equations:

- x + y = 5

y=x+5

Unit 3: Rational and irrational numbers

100

solve for  'x' in 2x + 5 = 11. 

3

200

Find the slope and y-intercept of y = 3x + 4. 

Slope=3, Y intercept =4

300

Solve the following:

2x - y = 1. 

y=2x-1

400

is it rational? 

5/7

yes because it is a fraction 

500

Solve the following:

3x + 2 < 11

x<3

Unit 4: Modeling and Analyzing Quadratic Functions

100

A taxi ride costs $3 plus $2 per mile. Write a function to represent the total cost (C) as a function of the number of miles (m).

(C(m) = 3 + 2m)

200

Graph the quadratic function y = x² - 4

Use Your Calculator!!!

vertex at (0, -4) 

 x-intercepts at x = -2 and x = 2).

300

Solve the equation 2x + 5 = 11. (x = 3)

3

400

Is the relation {(1, 2), (2, 2), (3, 4)} a function?And why?

Yes, because each input (1, 2, 3) has only one corresponding output

500

Given the points (2, 6) and (4, -3), find the slope between the two points.

-9/2

Unit 5&6: Modeling and Analyzing Exponential Expressions & Equations

100

The standard form of a quadratic function is what?

y=ax²+bx+c

200

The vertex form of a quadratic function is what?

y=a(x-h)²+k

300

Solve the equation: x² + 5x + 6 = 0.

x=-2,-3

400

Find the vertex of the parabola: y = 2x² - 8x + 5.

(2,-3)

500

A ball is thrown upwards, and its height (h) is given by h = -5t² + 20t + 10, where t is time. What is the maximum height? In feet!

The Maximum height is 30 feet.