Algebra 1 Regents August 2023: Key Concepts and Solutions

Based on the graph, during which time period did the cafe owner see a continual decrease in customers?

• 6 to 11

• 1 to 4

• 11 to 2

• 12 to 3

What is the equivalent expression after distributing and combining like terms for 3x^2 + 4x - 8 + 2(11 - 5x)?

• 3x^2 + 4x + 14

• 3x^2 - 6x + 14

• 3x^2 + 6x + 14

• 3x^2 - 6x + 4

What is the value of x in the equation 5(2x - 4)/3 + 9 = 14?

• 2.5

• 3.5

• 5.5

• 4.5

Which of the following represents the third quartile in a box plot?

• Minimum value

• Q1

• Q2 (Median)

• Q3

What are the zeros of the function M(x) = x(x^2 - 16)?

• -4, 0, 4

• -4, 4

• 0, 4

• -4, 0

Which y-intercept is the smallest when x equals zero?

• (0, 4)

• (0, 1)

• (0, 2)

• (0, 3)

What is the relationship between factors and roots of a function?

• They are the same.

• Factors are the square of the roots.

• Factors are the opposite of the roots.

• Roots are the derivative of the factors.

How do you identify an exponential function from a table of values?

• By checking if the x-values are divided by the same amount.

• By checking if the x-values are subtracted by the same amount.

• By checking if the y-values are multiplied by the same amount.

• By checking if the y-values are added by the same amount.

What is the correct recursive formula for Jack's push-up program?

• a_n = 2 * a_(n-1) + 9

• a_n = 2 * a_(n-1) - 9

• a_n = a_(n-1) - 9

• a_n = 9 - 2 * a_(n-1)

What is the correct way to convert 1.35 Euros per liter to dollars per gallon?

• Multiply by 0.622 Euros per dollar and 3.785 liters per gallon

• Multiply by 0.622 Euros per dollar and divide by 3.785 liters per gallon

• Divide by 0.622 Euros per dollar and multiply by 3.785 liters per gallon

• Divide by 0.622 Euros per dollar and 3.785 liters per gallon