Linear Equations and Inequality Algebra

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, 20)

• (3, 5)

• (0, -2)

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 

• 7x + 13y < 81

• 7x + 13y ≥ 81

• 7x + 13y ≤ 81

• 7x + 13y > 81

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

• 57x + 72y ≥ 2700

• 57x + 72y > 2700

• 57x + 72y < 2700

• 57x + 72y ≤ 2700

Select the correct graph for each inequality.

• A

• B

• C

• _D

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day.

Write a linear equation to represent this situation.

Mathematical Equivalence

ON

Answer explanation

Because this is a linear function, we will use slope-intercept form (y = mx + b).

$80 is the starting or fixed cost which represents the b, or the y-intercept.

$45 is the rate per hour which represents the m, or the slope.

Therefore, the equation is y = 45x + 80.

Tags

A.2(A)

Mathematical Equivalence

ON

Mathematical Equivalence

ON

The slope parallel to the equation f(x)=5x-10 is (a)  

• 5

• -5

• -10

• 15

Select the correct graph for each inequality.

• A

• B

• C

• D