Download Graphing Linear Equations Review 2013

Graphing Linear Equations REVIEW
PMI Algebra
Name ________________________
Multiple Choice– Choose the correct answer for each question. No partial credit will be given.
Use the graph of the line below to answer questions #1-2.
1. What is the y intercept of the line?
a. 4
b. -4
c. 0
d. -2
2. The slope is:
a. positive.
b. negative.
c. zero.
d. undefined.
3. What is the slope of the line that passes through the points (1,-4) and (-3,4)?
a.
b. -2
c.
-
d. undefined
Use the graph below to answer questions #4-5.
4. Which line above has a slope of zero?
a. Line A
b. Line B
c. Line C
d. Line D
5. Which line above has an undefined slope?
a. Line A
b. Line B
c. Line C
d. Line D
6. The line y = 4 is:
a. Horizontal
b. Vertical
c. Neither
d. Cannot be determined
7. What
a.
b.
c.
d.
is the slope of the linear equation 5y – 10x = –15?
10
2
-10
-15
From the New York State Education Department. Office of Assessment Policy, Development and
Administration. Internet. Available from www.nysedregents.org/IntegratedAlgebra; accessed 17, June, 2011.
8. Which graph shows the equation y = -x – 4?
9. Which of the following lines is not perpendicular to y = 1.5x + 4?
a. y = - x - 7
b. -3x + 2y = 6
c. 2x + 3y = 12
d. 10x + 15y = 60
10. Which equation represents a line that intersects y = x + 3 at exactly one point?
a. y = x – 3
b. y = - x + 9
c.
y= x+3
d. x – 4y = 4
11. Which description best compares the graphs given by the equations 2x – 5y = -20 and
-4x + 10y = -30?
a. parallel
b. coinciding
c. perpendicular
d. intersecting but not perpendicular
12. Which description best compares the graphs given by the equations y = x + 2 and 3x – 4y = -8?
a.
b.
c.
d.
parallel
coinciding
perpendicular
intersecting but not perpendicular
13. The line 3x – 2y = 12 has
a.
b.
c.
d.
a slope of 3/2 and a y-intercept of -6
a slope of -3/2 and a y-intercept of 6
a slope of 3 and a y-intercept of -2
a slope of -3 and a y-intercept of -6
From the New York State Education Department. Office of Assessment Policy, Development and
Administration. Internet. Available from www.nysedregents.org/IntegratedAlgebra; accessed 17, June, 2011.
14. If two lines are parallel and the slope of one of the lines is m, what is the product of their
slopes?
a.
b.
c.
d.
1
2m
2
m
0
From the New York State Education Department. Office of Assessment Policy, Development and
Administration. Internet. Available from www.nysedregents.org/IntegratedAlgebra; accessed 17, June, 2011.
Short Constructed Response – Write the correct answer for each question. No partial credit will be
given.
15. Create a table of values for the equation y = - x - 2, plot the points and graph the equation.
16. Write the equation of the line that is parallel to y = x - 4 and goes through the point (-3,2).
17. You start a pet walking service. You pay $25 for advertising and plan on charging $3 per walk. Write
an equation to relate your income y to the number of dogs you walk x.
Extended Constructed Response - Solve the problem, showing all work. Partial credit may be given
18. A line has an x-intercept of -3 and y-intercept of 6.
a. Write an equation in slope intercept form for the line
b. Write an equation that is parallel to this line,
c. Write an equation that is perpendicular to the line from part a.