Algebra Topic 2 Test

1

Which equation matches the graph?

y=-2x+1

y=3x-8

y=2x-5

y=-4x-1

1

Which of the following is an equation of the line through the points (2, 3) and (-1, -12)?

y=-5x+7

y=-\frac{1}{5}x+\frac{17}{5}

y=5x-7

y=\frac{1}{5}x+\frac{13}{5}

1

Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?

y=2x-30

y=-2x-30

y=2x+30

y=-2x+30

1

For the graph of the equation you wrote in Item 3, what does the y-intercept represent?

Days it takes to complete 30 hours

Hours completed each day

Hours left to complete

Total hours of service

1

Complete the equation for the horizontal line that passes through (5, –7).
y =

1

For which values of A, B, and C will Ax + By = C be a vertical line through the point (8, 6)?

A = 0, B = 1, C = 8

A = 0, B = 1, C = 6

A = 1, B = 0, C = 6

A = 1, B = 0, C = 8

1

Which equation matches the graph?

y-2=-3(x-2)

y+2=-3(x+2)

y-2=3(x+2)

y-2=3(x-2)

1

What is an equation in point-slope form of the line that passes through the point (4, −1) and has slope 6?

y+1=6(x-4)

y-1=6(x+4)

y-1=-6(x+2)

y+1=-6(x-4)

1

What is an equation in point-slope form of the line that passes through (−7, 1) and (−3, 9)?

y − 9 = 2(x + 3)

y + 3 = 2(x − 9)

y − 3 = 2(x + 9)

y + 9 = 2(x − 3)

1

Which equation matches the graph?

–2x + 6y = –8

2x + 6y = –8

3x + 4y = –12

4x + 3y = –24

3

Select the coefficients and constant for the standard form equation Ax+By=C that has an x-intercept of 3 and a y-intercept of 5.
(Write A=, B= C=, or just write the completed equation).

1

What is the equation in standard form of the line y = \frac{1}{9}x + 5?

x = 9y − 45

x − 9y = −45

9y = x + 45

9y − x = 45

1

What are the x-intercept and y-intercept of the graph 9x-7y=-63?

x-intercept: 7; y-intercept: −9

x-intercept: 9; y-intercept: −7

x-intercept: −7; y-intercept: 9

x-intercept: −9; y-intercept: 7

3

Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. Write the Standard Form equation which determines the number x of hardcover books and the number y of paperback books he can buy.

1

For the situation in Item 14, which of the following represents a possible combination of books that Derek can buy? Select all that apply.

(–2, 15)

(2, 5)

(3,\frac{5}{2})

(0, 10)

1

Choose the correct way to end the sentence.
The lines 5x + 2y = 14 and y = –5x + 9 are

parallel

perpendicular

neither parallel nor perpendicular.

1

Which lines are parallel to 8x + 2y = 7? Select all that apply.

16x + 4y = 9

y = −4x

y − 1 = 4(x + 8)

y = −4x + 15

1

Which equation is the slope-intercept form of the line that passes through (6, –11) and is parallel to the graph of y = –\frac{2}{3}x + 12?

y=-\frac{2}{3}x-15

y=\frac{2}{3}x-5

y=-\frac{2}{3}x-7

y=-\frac{2}{3}x-6

1

Line v passes through point (6, 6) and is perpendicular to the graph of y = \frac{3}{4}x –11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?

y = \frac{4}{3}x +2

y = -\frac{4}{3}x +2

y = -\frac{3}{4}x +2

y = \frac{3}{4}x + 2

1

What is the y-intercept of the line y+11 = -2 (x+\frac{3}{2})?
For full credit, your answer must be a point indicated by an ordered pair of coordinates (x, y).

Algebra Topic 2 Test

Which equation matches the graph?

Which of the following is an equation of the line through the points (2, 3) and (-1, -12)?

Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?

For the graph of the equation you wrote in Item 3, what does the y-intercept represent?

Complete the equation for the horizontal line that passes through (5, –7).y =

For which values of A, B, and C will Ax + By = C be a vertical line through the point (8, 6)?

Which equation matches the graph?

What is an equation in point-slope form of the line that passes through the point (4, −1) and has slope 6?

What is an equation in point-slope form of the line that passes through (−7, 1) and (−3, 9)?

Which equation matches the graph?

Select the coefficients and constant for the standard form equation Ax+By=C that has an x-intercept of 3 and a y-intercept of 5.(Write A=, B= C=, or just write the completed equation).

What is the equation in standard form of the line y = \frac{1}{9}x + 5?

What are the x-intercept and y-intercept of the graph 9x-7y=-63?

Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. Write the Standard Form equation which determines the number x of hardcover books and the number y of paperback books he can buy.

For the situation in Item 14, which of the following represents a possible combination of books that Derek can buy? Select all that apply.

Choose the correct way to end the sentence.The lines 5x + 2y = 14 and y = –5x + 9 are

Which lines are parallel to 8x + 2y = 7? Select all that apply.

Which equation is the slope-intercept form of the line that passes through (6, –11) and is parallel to the graph of y = –\frac{2}{3}x + 12?

Line v passes through point (6, 6) and is perpendicular to the graph of y = \frac{3}{4}x –11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?

What is the y-intercept of the line y+11 = -2 (x+\frac{3}{2})?For full credit, your answer must be a point indicated by an ordered pair of coordinates (x, y).

Which equation matches the graph?

Which of the following is an equation of the line through the points (2, 3) and (-1, -12)?

Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?

For the graph of the equation you wrote in Item 3, what does the y-intercept represent?

Complete the equation for the horizontal line that passes through (5, –7).y =

For which values of A, B, and C will Ax + By = C be a vertical line through the point (8, 6)?

Which equation matches the graph?

What is an equation in point-slope form of the line that passes through the point (4, −1) and has slope 6?

What is an equation in point-slope form of the line that passes through (−7, 1) and (−3, 9)?

Which equation matches the graph?

Select the coefficients and constant for the standard form equation Ax+By=C that has an x-intercept of 3 and a y-intercept of 5.(Write A=, B= C=, or just write the completed equation).

What is the equation in standard form of the line y = \frac{1}{9}x + 5?

What are the x-intercept and y-intercept of the graph 9x-7y=-63?

Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. Write the Standard Form equation which determines the number x of hardcover books and the number y of paperback books he can buy.

For the situation in Item 14, which of the following represents a possible combination of books that Derek can buy? Select all that apply.

Choose the correct way to end the sentence.The lines 5x + 2y = 14 and y = –5x + 9 are

Which lines are parallel to 8x + 2y = 7? Select all that apply.

Which equation is the slope-intercept form of the line that passes through (6, –11) and is parallel to the graph of y = –\frac{2}{3}x + 12?

Line v passes through point (6, 6) and is perpendicular to the graph of y = \frac{3}{4}x –11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?

What is the y-intercept of the line y+11 = -2 (x+\frac{3}{2})?For full credit, your answer must be a point indicated by an ordered pair of coordinates (x, y).

Complete the equation for the horizontal line that passes through (5, –7).
y =

Select the coefficients and constant for the standard form equation Ax+By=C that has an x-intercept of 3 and a y-intercept of 5.
(Write A=, B= C=, or just write the completed equation).

Choose the correct way to end the sentence.
The lines 5x + 2y = 14 and y = –5x + 9 are

What is the y-intercept of the line y+11 = -2 (x+\frac{3}{2})?
For full credit, your answer must be a point indicated by an ordered pair of coordinates (x, y).

Complete the equation for the horizontal line that passes through (5, –7).
y =

Select the coefficients and constant for the standard form equation Ax+By=C that has an x-intercept of 3 and a y-intercept of 5.
(Write A=, B= C=, or just write the completed equation).

Choose the correct way to end the sentence.
The lines 5x + 2y = 14 and y = –5x + 9 are

What is the y-intercept of the line y+11 = -2 (x+\frac{3}{2})?
For full credit, your answer must be a point indicated by an ordered pair of coordinates (x, y).