Algebra Test

• the height, in inches, of the seedling after w weeks

• the height, in inches, of the seedling when Eric first planted it

• the increase in the height, in inches, of the seedling each week

• the total increase in the height, in inches, of the seedling after w weeks

Two utility companies sell electricity in units of kilowatt-hours. The cost of electricity for company P is shown in the table. The cost of electricity for company M can be found by using the equation shown, where y represents the total cost in dollars for x kilowatt-hours of electricity. Use the information provided to find the unit rate, in dollars per kilowatt-hour, for each company. Show your work or explain your answers. Find the total cost, in dollars, of buying 2,375 kilowatt-hours of electricity from the least expensive company. Enter your answers and your work or explanation in the space provided.

In a system of two linear equations, the lines represented by each equation have the same slope.

PART A

Which could be the total number of solutions to the system of equations?

Select each correct answer.

• no solutions

• 1 solution

• 2 solutions

• 3 solutions

• infinitely many solutions

In a system of two linear equations, the lines represented by each equation have the same slope.

PART B

Explain why you chose your answer(s) in Part A.

Enter your explanation for each selection in the space provided.

Part A Answer: no solutions and infinitely many solutions

The owner of a computer store is offering a discount on a computer sold in the store.

PART A

The owner offers a payment plan where the total cost of the computer is paid in 6 equal monthly payments.

Determine the amount of each monthly payment.

Show your work or explain your answer.

Enter the monthly payment and your work or explanation in the space provided.

• The slope of Function A is greater than the slope of Function B, and the y-intercept of Function A is greater than the y-intercept of Function B.

• The slope of Function A is less than the slope of Function B, and the y-intercept of Function A is greater than the y-intercept of Function B.

• The slope of Function A is greater than the slope of Function B, and the y-intercept of Function A is less than the y-intercept of Function B.

• The slope of Function A is less than the slope of Function B, and the y-intercept of Function A is less than the y-intercept of Function B.

The owner of a computer store is offering a discount on a computer sold in the store. PART B A different computer is advertised as 40% off of the original price. After the discount, the tax is $44.64. Determine the total price of this computer after the discount and tax are applied. Show your work or explain your answer. Determine the original price of this computer. Show your work or explain your answer. Enter your answers and your work or explanations in the space provided.

The graph shows the total number of participants in a town's recreation program at the end of every year since 2000. The line of best fit for the data is given by the equation y=13x+50, where y is the total number of participants x years after the beginning of the year 2000.

Which statement correctly interprets the slope of the line of best fit?

• The rate of change is 1 new participant every 13 years.

• The rate of change is 13 new participants every 13 years.

• The rate of change is 13 new participants every year.

• The rate of change is 50 new participants every year.

See image.

• It is safe to assume the graph is drawn correctly because (5,-5) is not a solution of the equation, and it is not part of the graph.

• It is safe to assume the graph is drawn correctly because (0,-8) is a solution of the equation, and it is part of the graph.

• It is safe to assume the entire graph is drawn incorrectly because (-4,0) is not a solution of the equation, and it is not part of the graph.

• It is safe to assume the graph is drawn incorrectly because (2,4) is not a solution of the equations, and it is part of the graph.