MIDTERM Algebra 1 Exam

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Define slope in the context of a linear equation.

Back

The slope of a linear equation is a measure of the steepness of the line, represented by 'm' in the equation y = mx + b. It is calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis. In the equation y = mx + b, 'b' represents the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you solve a one-variable linear equation?

Back

To solve a one-variable linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

Tags

CCSS.7.EE.B.4A

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal, containing an equality sign.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform operations to reduce it to its simplest form.

Tags

CCSS.7.EE.A.1

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term and add to the coefficient of the linear term, then express the quadratic as a product of two binomials.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation in the form ax^2 + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as a set of ordered pairs, a table, a graph, or an equation.

Tags

CCSS.8.F.A.1