2020 - NPS Students entering NHS ALGEBRA 1

By Sam Schneider
Last updated about 1 year ago
20 Questions

Solve the following equation for the variable:

On the number line below, correctly graph and label the following values:

John sells macaroons for $1.25 and chocolate chip cookies for $1.75 each. If his total earnings on Wednesday was $57.25, and 37 total cookies were sold, which one of the following must be true?

Jean works at a coffee shop, where she earns a base salary of $11 per hour plus 15% of her daily sales on lattes. On Wednesday, she sold 16 lattes, at a cost of $3.35 each, and worked a 5 hour shift. How much did Jean earn on Wednesday?

Use any method to solve the system of equations given below. Regardless of your method, you must show your work! Circle the final answer.

The graphs below show 2 functions, f and g. The function for f, given in red, is given below. What is the correct function for the blue graph, g?

Follow the order of operations to find the result of the expression below. Do not use a calculator. Show your work and circle your final answer.

What is the slope of the following equation?

What is the slope and y-intercept of the following equation?

Daniel, Charlie and Peter each earned money selling lemonade. Daniel earned $5.00 more than the sum of earrnings of Charlie and Peter. Which equation represents Daniel's earnings?
(Let Daniel's earnings = d, Peter's earnings = p, and Charlie's earnings = c)

Write a real world scenario that might describe the equation y = 15x + 11; You must clearly define the variables x and y.

Perform the following fraction operation. No decimal answers accepted, your answer must be a fraction. Show your work:

Which function describes the table of values?

All of the following equations are equivalent except for one. Which one?

The following equation is used the find the volume of a cylinder:

Solve this equation for r, showing all steps:

What is the solution of the equation below?

Two lines in the coordinate plane do not intersect. What must be true about these 2 lines?

What number is a solution to the inequality below?

Derek buys a car for $10,000 and keeps it for 4 years. At the end of the 4 years, the car's value has depreciated to $3200. What type of function is represented here?

Multiply the 2 binomials together. What is the product? Show your work.