Algebra 1 Project

Linear

100

Find the slope intercept form of a line that passes through the points (-12,8) and (3,-4)

y=-4/5x-1.6

200

  A machine on a production line packages chromebooks at a steady rate. After 10 minutes, it has packaged 20 chromebooks, and after 30 minutes it has packaged 100 chromebooks.

      Complete the equation to model the number of chromebooks, y, the machine has packaged after x minutes.

y= ___x+___

What is y=4x-20

300

 Write a linear function for a line that passes through the point 

(8, 2) and is perpendicular to y=-1/2x+5

y=___x - ____

What is y=2x-14

400

  A Mobile Home rental business charges a fee to set up and take down a Mobile Home, plus an hourly rate. The equation 

y=60x+120 can be used to find the total fee, y, for renting a Mobile Home for x hours. 

Part A:What is the rate

Part B:What is the fee to set up and take down the Mobile Home

What is Part A: 60$

Part B: 120$

500

A linear function is given by the equation 

7x+2y=8

     Part A. What is the slope of the graph of the function?

1. -2

2. -7/2

3. 2/3

4. 2

      Part B. What are the x- and y- intercepts of the function?

      x-intercept:

      y-intercept:  

What is 2 and X-int = 8/7 and Y-int = 4

Miscellaneous

100

Find the slope of the equation 0.5x+2y=4

What is -1/4

200

A formula for a Quadratic function

What is  ax²+bx+c

300

A discriminant

What is The part of a solution that that is under the square root and, tells you or someone whether there is 2 solutions 1 solution or no solutions.

400

Solve the absolute value equation -|x-4|+1=0

1. x=6, x=3

2. x=-3, x=-5

3. x=3, x=5

4. No solution

What is Number 3

500

Solve for X  

 3(x+2)-5=2x+4

What is X = 3

Exponents

100

The equation y=0.5^x after moving 5 units up

What is  0.5^x+5

200

Solve / simplify (x²/4x)³

What is x³/64

300

Solve for X 

2^x+2 = 32

What is x = 3

400

Given the exponential function f(t)=300(1.5)^2t, identify the equivalent exponential function below. 

1. f(t)=200t

2. f(t)=200.25t

3. f(t)=300(2.25)t

   4.  f(t)=500(2.25)t

What is Number 3

500

The value of a certain watch after T years is modeled by the expression 

2000(0.65)x. What is the initial cost, and the rate of depreciation of this diamond?

1. Initial = 2,500 , Rate = 35%

2. Initial = 2,500 , Rate = 65%

3. Initial = 2,000 , Rate = 35%

4. Initial = 2,000 , Rate = 65%

What is Number 4.

Linear +

100

Solve 4x−7(2−x)=3x+2

11x−14=3x+2

200

  You deposit 

$1000 in a savings account that pays 2% simple annual interest. How long will it take you until you earned $30 in interest?

What is 1.5 years 

300

The Chavez family is on their way home from Tampa. During the trip, the function D(h)=128-40h can be used to model their distance, in miles, from home after h hours of driving. 

    Find D(1.5)and interpret the meaning in context of the problem. 

1. 68; The Chavez family is 68 miles from home after 1.5 hours of driving. 

2. 68; The Chavez family is 1.25 miles from home after 68 hours of driving. 

3. 60; The Chavez family is 60 miles from home after 1.5 hours of driving. 

4. 100; The Chavez family is 1.25 miles from home after 100 hours of driving. 

What is Number 1

400

The Equation of a line that is perpendicular to the line 

y=-1/2x+3

and passes through the point (6,7)

What is y=2x-5

500

A taxi company charges a flat fee of $3 plus $2.50 per mile. Write an equation that represents the total cost, C, of a taxi ride based on the number of miles traveled, M.

Part B: solve the equation when C = $20

Part A: C = 2.50m+3

Part B: M = 6.8 miles

Quadratics

100

The graph of h(x)=(x-8)²+1 is a transformation of the graph f(x)=x². Complete the statements below. 

Part A. The graph h is a translation ____ unit(s) right and _____ unit(s) up of f.

Part B. Therefore the vertex of h(x) is __________

Part A: 8 units right and 1 unit up

Part B: (8,1)

200

Solve 0 = x²+5x+6

What is x = -2,-3

300

Solve x²-3x-18

What is (x+3) * (x-6)

400

1. Select all the statements about the graphs of the functions g(x)=-14x2 and f(x)=2x that are true.

• f and g have the same x-intercepts.

• f and g have the same end behavior.

• f and g have the same domain.

• f and g are increasing over the interval -2x2 

       f will be greater than g at x=5. 

What is The 1st 3rd and 5th statements 

500

A baseball player hits the baseball into the air with an initial vertical velocity of 63 feet per second. The player hits the ball from 4 feet above the ground.

Part A: write an equation that gives the ball’s height as a function of time in seconds after the ball is hit.

Part B: After how many seconds is the baseball 84 feet above the ground?

Part A: h(t) = -16²+63t+4

Part B: t= roughly 1.26 seconds or roughly 2.68 seconds