ALGEBRA 3.3 Homework

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Name: amanda jones3.3

#1 Points possible: 1. Total attempts: 3

Choose the correct words to fill in the blanks below.

x-axis y-axis x-intercept y-intercept 1. The x-intercept of a straight line is the x-coordinate of the point where the graph crosses the x-axis. 2. The y-intercept of a straight line is the y-coordinate of the point where the graph crosses the y-axis. 3. Any point on the x-axis has a y-coordinate of 0. 4. Any point on the y-axis has a x-coordinate of 0.

#2 Points possible: 1. Total attempts: 3

Complete the table. Leave answers as fractions.

Equation x-intercept y-intercept

2 6

1/3 1

1 3

5/6 5/2

#3 Points possible: 1. Total attempts: 3

Complete the table.

Equation x-intercept y-intercept

 

 

 

 

6x + 2y = 12 ( , 0) (0, )

6x + 2y = 2 ( , 0) (0, )

6x + 2y = 6 ( , 0) (0, )

6x + 2y = 5 ( , 0) (0, )

x − 3y = 4 ( , 0) (0, )

y = x − 1

3

4

3 ( , 0) (0, )

x − 3y = 0 ( , 0) (0, )

y = x 1

3 ( , 0) (0, )

 

 

6/9/2018 xyzHomework Assessment

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#4 Points possible: 1. Total attempts: 3

Find the x- and y-intercepts for the following equation. Then use the intercepts to graph the equation.

x-intercept: ( -4 ,0) y-intercept: (0, 5 )

5x − 4y = − 20

 

 

6/9/2018 xyzHomework Assessment

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#5 Points possible: 1. Total attempts: 3

Find the x- and y-intercepts for the following equation. Then use the intercepts to graph the equation.

x-intercept: ( DNE ,0) y-intercept: (0, oo )

y = 2x − 2

 

 

6/9/2018 xyzHomework Assessment

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#6 Points possible: 1. Total attempts: 3

Find the x- and y-intercepts for the following equation. Then use the intercepts to graph the equation.

x-intercept: ( ,0) y-intercept: (0, )

y = − 3x − 2

 

 

6/9/2018 xyzHomework Assessment

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#7 Points possible: 1. Total attempts: 3

Find the x- and y-intercepts for the following equation. Then use the intercepts to graph the equation.

 

x-intercept: ( ,0) y-intercept: (0, )

y = − x − 3 1

2

 

 

6/9/2018 xyzHomework Assessment

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#8 Points possible: 1. Total attempts: 3

For the following line the x-intercept and the y-intercept are both 0, which means the graph will go through the origin, (0, 0). Graph the line by finding a point other than the origin, and then drawing a line through that point and the origin.

( , ) x y

y = − 2x

 

 

6/9/2018 xyzHomework Assessment

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#9 Points possible: 1. Total attempts: 3

These problems are intended to give you practice reading, and paying attention to, the instructions that accompany the problems you are working. Working this problem is an excellent way to get ready for a test or a quiz. Work each problem according to the instructions given. a. Solve: x = b. Find the x-intercept: x = c. Find y when x is 0: y = d. Solve for y: y = e. Graph:

5x − 2 = − 2

5x − 2y = − 2

5x − 2y = − 2

5x − 2y = − 2

5x − 2y = − 2

 

 

6/9/2018 xyzHomework Assessment

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#10 Points possible: 1. Total attempts: 3

From the graph below, find the x- and y-intercepts for the line.

1 2 3 4 5 6-1-2-3-4-5-6

1 2 3 4 5 6

-1 -2 -3 -4 -5 -6

x-intercept: ( ,0) y-intercept: (0, )

 

 

6/9/2018 xyzHomework Assessment

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#11 Points possible: 1. Total attempts: 3

a. Graph the line that passes through the point (-5, 4) and has an -intercept at . b. What is the -intercept of this line?

a. b. -intercept: (0, )

x ( − 3, 0)

y

y

 

 

6/9/2018 xyzHomework Assessment

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#12 Points possible: 1. Total attempts: 3

a. Graph the line that passes through the point (-2, 2) and has a -intercept at . b. What is the -intercept of this line?

a. b. -intercept: ( ,0)

y (0, − 2)

x

x

 

 

6/9/2018 xyzHomework Assessment

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#13 Points possible: 1. Total attempts: 3

a. Graph the line that passes through the points (-1, -2) and (-4, 4). b. What are the x- and y-intercept of this line?

a. b. x-intercept: ( ,0) y-intercept: (0, )

 

 

6/9/2018 xyzHomework Assessment

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#14 Points possible: 1. Total attempts: 3

Graph the vertical line x = -3. Then name its intercept.

x-intercept: ( ,0)

 

 

6/9/2018 xyzHomework Assessment

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#15 Points possible: 1. Total attempts: 3

Working Two Jobs. Maggie has a job working in an office for $11 an hour and another job driving a tractor pays $13 an hour. Maggie works at both jobs and earns $429 in one week. a. Write an equation that gives the number of hours x, she worked for $11 per hour and the number of hours, y, she worked for $13 per hour.

b. Find the x- and y- intercepts for this equation. x-intercept: ( , 0) y-intercept: (0, ) c. Graph this equation from the intercepts, using only the first quadrant.

d. From the graph, about how many hours she worked at $13, if she worked 31 hours at $11 per hour? She worked for about hours. e. From the graph, about how many hours she worked at $11, if she worked 25 hours at $13 per hour? She worked for about hours.

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