Second Year Algebra Review

A graphed system of linear inequalities is shown. Which of the following ordered pairs is a solution to the system of inequalities? Select ALL that apply.

• (-4,1)

• (-3,-4)

• (0,-3)

• (0,1)

• (5,-2)

Which points are part of the solution for this linear inequality? Select TWO that are correct.

• (-15, -5)

• (-20, 0)

• (10, -25)

• (0, -15)

• (15, -20)

The total cost of 2 bracelets and 3 necklaces is $15.50. The total cost of 4 bracelets and 1 necklace is $13.50. Let b represent the cost of each bracelet and n represent the cost of each necklace. This situation can be represented by the following system of equations.

Mathematical Equivalence

ON

Which of the following statements describe the graph of the solution set for this inequality?  Select two that apply.

• The graph line is solid.

• The graph line is dotted.

• The graph line passes through the origin.

• The ordered pair (2, 5) is part of the solution set.

• The shaded region of the graph representing the solution set is to the right of the graph line.

Drag and drop the responses into the boxes to create an inequality that represents the graph below.​ ​

​ (a)   ​ (b)   ​ (c)   x​ (d)  

• y

• -2

• +3

• <

• >

• 2

• 1/2

• -1/2

The school store sells pens for $0.35 each and pencils for $0.15 each. Anthony spent $2.80 to buy a total of 12 pens and pencils.

How many pens did Anthony buy?

Mathematical Equivalence

ON

Which of the following statements are true about the function g(x)?  Select all that apply.

• The slope of the graph is -2.

• The function g(x) is an exponential function.

• When x increases by1, g(x) decreases by a factor of -2.

• The function can be represented by the equation g(x) = -2x.

• The function can be represented by the equation g(x) = -2x + 5.

A function passes through the points (–4, 48) and (–1, 6). Which equations could represent this function? Select TWO that apply.

• y = 14x -8

• y = -14x - 8

Select TWO situations that could be modeled by a linear equation.

• The Barton family is driving at a rate of 62 miles per hour.

• Mr. Dominguez invested $1,000. This money is growing at a rate of 4% per year.

• A tree was 10 feet tall when purchased. It is growing at a rate of 2 feet per year.

• Tim dropped a coin off a bridge. It is falling at a rate of 9.8 meters per second squared.

• The amount of people in a stadium is decreasing at a rate of 45% every 10 minutes.