Njsla Algebra Prep

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.

Tags

CCSS.8.EE.B.5

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

Tags

CCSS.8.EE.C.8B

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

Tags

CCSS.8.EE.C.8B

Tags

CCSS.8.EE.B.6

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.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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.

Tags

CCSS.6.RP.A.3C

• a³b + cd

• -a(ad + bc)

• a(ad-bc)

• a(bc - ad)

• a(ad + bc)

Lines p and n lie in the standard (x,y) coordinate plane. An equation for line p is y = 0.12x + 3,000. The slope of line n is 0.1 greater than the slope of line p. What is the slope of line n?

• 0.012

• 0.02

• 0.22

• 1.2

• 300

Tags

CCSS.8.EE.B.5

For ΔFGH which of the following is an expression for y in terms of x?

• x + 4

• √(x² + 4)

• √(x² + 8)

• √(x² - 16)

• √(x² + 16)

Tags

CCSS.8.G.B.7