NJSLS Algebra Part 3

The graph shows the total number of participants in a town's recreation program at the end of every year since 2000. The line of best fit for the data is given by the equation y=13x+50, where y is the total number of participants x years after the beginning of the year 2000.

Which statement correctly interprets the slope of the line of best fit?

• The rate of change is 1 new participant every 13 years.

• The rate of change is 13 new participants every 13 years.

• The rate of change is 13 new participants every year.

• The rate of change is 50 new participants every year.

Ali is buying biunders for school. Small binders cost $3 each, and large binders cost $5 each. If Ali needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?

• 4

• 5

• 8

• 9

See image.

• It is safe to assume the graph is drawn correctly because (5,-5) is not a solution of the equation, and it is not part of the graph.

• It is safe to assume the graph is drawn correctly because (0,-8) is a solution of the equation, and it is part of the graph.

• It is safe to assume the entire graph is drawn incorrectly because (-4,0) is not a solution of the equation, and it is not part of the graph.

• It is safe to assume the graph is drawn incorrectly because (2,4) is not a solution of the equations, and it is part of the graph.

The steps used to solve the equation 2x+8=20 for x are shown below:

2x+8=20

Step 1: 2x=12

Step 2: x=6

Which property makes Step 1 true?

• Division property of equality

• Reflexive property of equality

• Subtraction property of equality

• Symmetric property of equality

The steps used to solve the equation 2x+8=20 for x are shown below:

2x+8=20

Step 1: 2x=12

Step 2: x=6

Which property makes Step 2 true?

• Division property of equality

• Reflexive property of equality

• Subtraction property of equality

• Symmetric property of equality

Guests who rent canoes must pay an insurance fee and are charges for each hour they use the canoe. Last year, the total cost for a guest to rent a canoe for x hours was modeled by the expression 6+8x. This year, they are doubling the cost per hour for renting a canoe but kept the insurance fee the same.

Which expression models the total cost for a guest to rent a canoe for x hours this year?

• 12+8x

• 6+16x

• 6+4x

• 3+8x

• 6

• 12

• 36

• 72

Which expression represents the area of the rectangle shown?

• 600 and 4800 should be interchanged

A bag contains n nickels and q quarters worth a total of $40.

Which equation models this information?

• n+q=40

• 5n+25q=40

• 0.5n+0.25q=40

• 0.05n+0.25q=40