Ch 6 Part 1 TEST Review

Front

Solve: 5x - 11 = 9x + 4

Back

x = -3.75

Front

Solve: -3(n + 8) - 4 = -40 - n

Back

n = 6

Front

Write an equation to determine how many pounds, p, will it take for Company A and Company B to cost the same: Company A charges $7.25 for shipping and $0.20 for each pound. Company B charges $5.15 for shipping and $0.30 for each pound.

Back

7.25 + 0.20p = 5.15 + 0.30p

Front

Which situation could be described by the equation y = -25x + 120?

Back

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute.

Front

Which situation can be represented by this equation? 50 + 20x = 45x

Back

Piper's Plumbing charges a $50 house call plus $20 per hour of work. Roger's Pipes has no service fee and charges $45 per hour. After how many hours will the repairs be the same cost?

Front

What is the definition of a linear equation?

Back

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

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x = 0.

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is the purpose of graphing a linear equation?

Back

Graphing a linear equation helps visualize the relationship between variables and identify solutions.