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Linear Equations Quiz: Slope, Graphing, and Word Problems

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Linear Equations Quiz: Slope, Graphing, and Word Problems

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Questions and Answers

What is the slope of the line that passes through the points (2, 3) and (4, 5)?

The slope of the line is $m = (5 - 3)/(4 - 2) = 2/2 = 1$

What are the x and y intercepts of the line $2x + 3y = 12$?

The x-intercept is $x = 6$ and the y-intercept is $y = 4$

Graph the line $y = 2x - 3$ on the coordinate plane. What is the y-intercept and the slope of the line?

The y-intercept is $-3$ and the slope is $2$

Tom can paint a room in 4 hours, and his brother can paint the same room in 6 hours. How long will it take for them to paint the room together?

Let $t$ be the time it takes for them to paint the room together. Tom can paint $1/4$ of the room in 1 hour, and his brother can paint $1/6$ of the room in 1 hour. Together, they can paint $1/4 + 1/6 = 3/12 + 2/12 = 5/12$ of the room in 1 hour. Therefore, it will take them $t = 12/5 = 2.4$ hours to paint the room together Signup and view all the answers

The cost of a bike is $80 more than 2 times the cost of a helmet. If the cost of the helmet is $x$, write an equation to represent the situation and solve for $x$ if the cost of the bike is $240.

Let $x$ be the cost of the helmet. Then, the cost of the bike is $80 + 2x$. We can set up the equation $80 + 2x = 240$ and solve for $x$. Subtracting $80$ from both sides, we get $2x = 160$, and dividing both sides by $2$, we get $x = 80$ Signup and view all the answers

What is the slope of the line that passes through the points (1, 2) and (3, 4)?

2/3 Signup and view all the answers

What is the equation of the line that passes through the points (2, 3) and (-2, -3)?

y = x + 1 Signup and view all the answers

What is the y-intercept of the line $x + 2y = 6$?

3 Signup and view all the answers

A bakery sells 250 loaves of bread per day. If they make a profit of $0.50 per loaf, how much profit do they make in a day?

$120 Signup and view all the answers

A car rental company charges a base fee of $20 plus $0.10 per mile. If a customer rents a car for 120 miles, how much will they pay in total?

$32 Signup and view all the answers

Study Notes

linear equations. these equations need to cover slope, graphing, linear equations, determining intercepts, and solving at least 1 word problem... you're test at most should have 2 multiple choice questions

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Description

Test your understanding of linear equations, including slope, graphing, intercepts, and solving word problems. Assess your skills with this comprehensive quiz!