Download A1 CH5 Unit Review

Algebra 1
Chapter 5 Review
Name: _____________________________
1b
1. Given the graph to the right, give the linear
equations in slope-intercept form.
1a
2. Find the slope, given two points. Show
complete work.
a.
(-5, 3) (-2, -3)
b. (-4, 3) (2, -1)
3. Find the two linear equations in slope-intercept
form that would connect the two sets of points.
Show complete algebraic work.
a.
(-5, 3) (-2, -3)
b. (-4, 3) (2, -1)
4. Graph the following linear equations that are in slope-intercept form. First identify the slope
(m) and the y-intercept (b). Use the sheet of graphs to do your work:
2
a.
y= x–2
b. y = -5x + 1
c.
y=x–3
3
5. Graph the following linear equations that are in point-slope form. First identify the starting
point and the slope. Use the sheet of graphs to do your work:
€
1
2
a.
y + 2 = (x + 4) b. y – 1 = - (x - 2)
c. y = 4 (x – 3)
2
5
6. Graph the following linear equations that are in standard from. First show work while
finding the both the x and y-intercepts, then graph on the sheet of graphs.
a. € 2x + 3y = 12
b. €-4x – 5y = 40
c.
2x – y = 8
7. Sketch a graph of the following linear equations on the sheet of graphs, then indentify the
slope of each equation. You may put 2 graphs on one graph.
a.
y = -3
b. x = 5
c.
y=7
d. x = -6
8. Change each linear equation below in to slope-intercept form (y = mx + b). Show complete work.
a.
y + 5 = -2(x + 6)
b.
y – 2 = - (x + 3)
c.
y + 3 = -2x
d.
y–4=
9. Now change each equation from problem #8 in to standard form (Ax + By = C). Show work.
10. Change each linear equation below into slope-intercept form (y = mx + b). Show work.
a.
3x – 2y = 12
b. –x + 5y = 10
c.
-2x – 4y = -8
11.Change the following equations into standard form. Show complete work.
2
3
4
a.
y= x+7
b. y = x +
3
4
5
12. Write an equation of a line in BOTH point-slope form and slope-intercept form with
slope, m = -2, and passes through point, (-3, 4). Show work.
€
€
€
(x – 5)
13. Write an equation in slope-intercept form of a line that passes through the points, (-2, -4) and
(4, 5). Show work.
X
Y
14. For the table to the right, find the equation of the line in slope-intercept
-6
13
form it models.
-2
11
2
9
−4
6
7
15. a. Write an equation of a line with a y-intercept of 4 and a slope of
.
5
10
5
b. Write an equation of a line with a y-intercept of -3 and a slope, m = 0.
€ point (-2, -7).
c. Write an equation of a horizontal line that passes through
d. Write an equation of a vertical line that passes through point (1, 8).
e. Write an equation of a line that passes through the points, (-8, 0) and (0, -5).
16. a.
b.
c.
d.
Write 2 equations of lines in slope-intercept form that are parallel to each other.
Write 2 linear equations in slope-intercept form that are perpendicular to each other.
The product of the slopes of two perpendicular lines is equal to ______ .
The line, x = 3, is it perpendicular or parallel to the x-axis.
−3
x + 1, what is the slope of the line parallel to it?
2
−3
b. Write the equation of the line that is parallel to y=
x + 1 and passes through the point (-8, 4).
2
−3
c. Given the equation,
y=
x + 1, what is the slope of the line perpendicular to it?
€
2
−3
d. Write the equation of the line that is perpendicular
to y=
x + 1 and passes
€
2
through the point (6, -8).
€
17. a. Given the equation, y=
18. Write an equation in standard form of a line that passes through point (4, -6) and is
€
perpendicular to the line, y = 2x + 7.
19. Are the following pairs of lines parallel, perpendicular or neither? Justify your answer
without graphing the equations.
1
a. y = - x – 4
2
b.
y = -2x + 4
€
c. 3x – y = 2
2y = 6x – 4
x – 3y = 12
y–4=
d.
1
(x – 6)
3
-7x + 8y = -8
8
€ y + 5 = - (x – 7)
7
€