Algebra 1 Regents January 2023: Key Concepts and Problem Solving

What is the first step in graphing the function G(x) using a calculator?

• Pressing the 'graph' button

• Typing in the function

• Pressing 'y=' and then 'second x squared'

• Entering the values manually

How do you determine the percentage of girls who voted for Splashdown?

• Divide the number of students who voted for Splashdown by the total number of students

• Divide the number of girls who voted for Splashdown by the total number of students

• Divide the number of students who voted for Splashdown by the total number of girls

• Divide the number of girls who voted for Splashdown by the total number of girls

What happens to the inequality sign when you divide both sides by a negative number?

• It becomes undefined

• It stays the same

• It changes direction

• It becomes an equation

Tags

CCSS.6.EE.B.8

What is the common difference in the arithmetic sequence where the first term is 3 and the fourth term is 15?

• 5

• 4

• 3

• 6

Tags

CCSS.HSF.BF.A.2

Why is the sum of two irrational numbers irrational?

• Because the sum of any two numbers is always irrational

• Because irrational numbers cannot be added

• Because the sum of two irrational numbers is always irrational

• Because irrational numbers are not real numbers

What is the quadratic formula used for solving quadratic equations?

• x = (-b ± √(b² - 4ac)) / 2a

• x = (-b ± √(b² + 4ac)) / 2a

• x = (b ± √(b² - 4ac)) / 2a

• x = (-b ± √(b² - 4ac)) / a

Tags

CCSS.HSA-REI.B.4B

What is the first step in factoring an expression completely?

• Graphing the expression

• Simplifying the expression

• Using the quadratic formula

• Finding the greatest common factor (GCF)

When graphing a piecewise function, what is a common mistake students make?

• Graphing both functions simultaneously

• Using a calculator

• Labeling the axes incorrectly

• Not plotting enough points

Tags

CCSS.HSF-IF.C.7B

How do you determine the average rate of change from year 30 to year 40 in a population graph?

• By finding the difference in population values and dividing by the difference in years

• By adding the population values and dividing by the number of years

• By multiplying the population values by the number of years

• By subtracting the population values and multiplying by the number of years

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

In the race problem, how do you account for Ella's 30-foot head start in the equation?

• By adding 30 to the distance variable

• By subtracting 30 from the distance variable

• By subtracting 30 from the time variable

• By adding 30 to the time variable