A1 Topic 5 Review Systems

In order to solve the system of equations below using the elimination method, which of the following steps could be used?

What is the solution to the system of equations below?

Leslie determined that the system of equations below has infinitely many solutions. Is she correct?

The system and is graphed as shown. Which choice is the point of intersection?

Select the correct letter.

Select the correct letter.

True or False

The correct inequality for the graph is y < 3

True or False

The correct inequality for this graph is y < 2x

Select two that apply.

True or False

The graph of the solution set to the inequality 𝑦 + 3 > −2(𝑥 − 2) is incorrect.

Select all the correct answers.

Which graph shows the solution to the inequalities? y ≤ 2x – 4 and 2y – x ≥ 2

Select the correct letter.

sports store employee needs to decide how many soccer balls to put on display. The store manager wants the number of soccer balls on display to be at least two more than the number of basketballs on display. The store employee represents this restriction as y ≥ 2 + x, where x is the number of basketballs, and y is the number of soccer balls on display. Which of the following ordered pairs represent viable solutions in terms of the context? Select all that apply.

You earn $15 per hour cutting grass and $10 per hour tutoring math. In one month, you need to save at least $400 for a new PS4 Pro but you do not want to work more than 35 hours.

Let 𝑥 represent the hours cutting grass and 𝑦 represent the hours tutoring. Given 𝑥 ≥ 0 and 𝑦 ≥ 0, select all the inequalities that represent the situation.

You earn $15 per hour cutting grass and $10 per hour tutoring math. In one month, you need to save at least $400 for a new PS4 Pro but you do not want to work more than 35 hours.

Select all the viable solutions according to the above scenario for the numbers of hours you need to work at both jobs to reach your goal.

HINT: Use your equations from the previous question.