# Algebra 1A – Worksheet 5

```Algebra 1A – Worksheet 5.3-5.5 review
Name ___________
Find the slope and y-intercept of the graph of each equation.
1. y = 3x  5
2. y = 5x + 13
3. y= x  1
Write an equation of a line with the given slope m and y-intercept b.
4. m = 1, b = 3
5. m = 4, b = 2
6. m = 5, b = 8
Write an equation in slope-intercept form of each line.
7.
8.
9.
Write an equation in slope-intercept form of the line that passes through the given points.
11. (2, 6) and (4, 2)
10. (3, 5) and (0, 4)
y
y
Graph each equation.
13. y = x+6
12. y = x + 3
x
x
Graph each equation
14. y = 3x  2
y
y
15. y = 5x + 1
x
x
16. When Phil started his new job, he owed the company \$65 for his uniforms. He is earning \$13
per hour. The cost of his uniforms is withheld from his earnings. Write an equation that models the
total money he has m after h hours of work.
Write an equation of the line in slope-intercept form through the given point and with the given slope m.
17. (4, 11); m=
3
18. (–3, –5); m = –2
4
Graph each equation.
19.y  2 = 2(x + 3) y
20. y + 3 = –2(x + 1)
y
21.
x
x
Write an equation in point-slope form for each line.
22.
23.
24.
y
x
Write an equation in point-slope form of the line through the given points. Then write the
equation in slope-intercept form.
26. (3, 2), (5, 3)
25. (4, 0), (2, 1)
Graph the line that passes through the given point and has the given slope m.
27. (3, 4); m = 6
y
28. (2, 1), m = 3
29.(4, 2); m 
y
x
1
2
y
x
x
Find the x- and y-intercepts of the graph of each equation.
30 4x  2y = 8
.
31. x  3y = 9
Draw a line with the given intercepts.
33. x-intercept: 3
32. x-intercept: 4
y-intercept: 5
y
y-intercept: 1
x
34. x-intercept: 6
y-intercept: 8 y
y
x
x
Graph each equation using x- and y-intercepts.
34 5x + y = 10
y
.
35 3x  6y = 12
.
y
37 y = 6
7.
y
x
x
Graph each equation.
36. 4x  12y = 24
y
x
y
38. x = 2
x
x
Write each equation in standard form using integers.
3
39. y = – x + 2
5
40. y  4 = 5(x  8)
41. You have only nickels and dimes in your piggy bank. When you ran the coins through a change counter, it
indicated you have 595 cents. Write and graph an equation that represents this situation. What are three
combinations of nickels and dimes you could have?
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