2425 Semester Exam Solving Practice

Front

Simplify the expression: 20W + 7(2Q - 3W + Z) - 2(3W + 4Z)

Back

-7W + 14Q - Z

Front

Simplify the expression: 3x + 4(y - 2x) + 8xy - (4xy - 3y)

Back

-5x + 7y + 4xy

Front

Solve the system of equations: y = 5x + 1 and y = 3x + 13

Back

(6, 31)

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.

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.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What is the method of substitution in solving systems of equations?

Back

The method of substitution involves solving one equation for one variable and substituting that expression into the other equation.