Algebra 2
WKST 3.4
Linear Equations: Standard Form
Name:
Date:
Period:
Directions: Complete the assignment in your notebook. Re-write original problem, show your work,
and circle/box your final answer.
State if the equation is linear. If it is not linear, explain why not.
1. y  3x  4
2. y  3x 2  2 x  1
3. x  10
4. 2  3xy  5
5.
y  3  2  x  1
7.
5
1
y
6.
y  x 1
8.
1
y  4  12
2
Write each equation in standard form using integers.
9.
y  2 x  3
11.
y  22 
10.
5
x
2
12.
1
11
y
4
4
7
25
y x
3
3
x
Graph each equation using x- and y- intercepts.
13. 3x  4 y  12
14. 2 x  3 y  6
16.
1
1
x y 3
2
3
17.
2 y  12  2 x  2 x
15.
5x  4 y  20
18.
2
3
y6 x
3
2
No credit will be given for work not shown in your notebook.
19.
Graph x  5 . Does this line have both an x- and y-intercept?
Explain.
20.
Graph y  5 . Does this line have both an x- and y-intercept?
Explain.
21.
The student council is sponsoring a carnival to raise money. Tickets cost $5.00 for adults and
$3.00 for students. The student council wants to raise $450.00.
a.
Write an equation to find the number of each type of ticket they should sell.
b.
Graph the equation.
1.
2.
3.
4.
5.
6.
7.
8.
ANSWER KEY
yes
no; can’t have a square
yes
no; can’t have a product of variables
yes
no; can’t have negative exponents in the numerator
yes
yes
9. 2 x  y  3
10. 4 x  y  11
11. 7 x  3 y  25
12. 5x  2 y  44
Your graphs should include the following points.
x  int  (4,0)
13.
y  int  (0,3)
14.
x  int  (3,0)
y  int  (0, 2)
15.
x  int  (4,0)
y  int  (0,5)
16.
x  int  (6,0)
y  int  (0,9)
17.
x  int  (3,0)
y  int  (0, 6)
18.
x  int  (4,0)
y  int  (0, 9)
19.
It’s a vertical line; the x-intercept is at (-5,0); there is no y-intercept.
20.
It’s a horizontal line; there is no x-intercept; the y-intercept is (0,-5).
5 x  3 y  450
21.
the graph should inclu de t he following po int s
x  int  (90,0)
y  int  (0,150)