Algebra 1 Regents Review

Front

How many solutions does the graph of a linear equation have?

Back

A linear equation can have one solution, two solutions (if it is a system of equations), or no solutions (if the lines are parallel).

Tags

CCSS.8.EE.C.8B

Front

What is the most appropriate domain for a function comparing the number of emails sent to data used for a cell phone plan?

Back

The most appropriate domain is whole numbers, as you cannot send a negative number of emails or use a negative amount of data.

Front

If an ice cream cone costs $1.50 and a milkshake costs $2.00, and you must buy 5 ice cream cones with a total budget of $19.00, what inequality represents the maximum number of milkshakes you can buy?

Back

1.50(5) + 2.00m < 19.00.

Tags

CCSS.7.EE.B.4B

Front

Solve the equation: 3(x - 8) + 4x = 8x + 4.

Back

The solution is x = -28.

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input corresponds to more than one output.

Tags

CCSS.8.F.A.1

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the difference between a rational number and an irrational number?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction.

Tags

CCSS.8.NS.A.1

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Tags

CCSS.HSA-REI.B.4B