Download Linear Equations Practice Test

Name: __________________________________ Period: _________________
Date: _________
ID: A
Linear Equations Practice Test
Find the slope and y-intercept of the line.
1. 3x + 3y = 63
2.
y=
3
x–2
4
3. A line passes through (–7, –4) and (2, 4).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.
c. Rewrite the equation in standard form using integers.
Write an equation in point-slope form for the line through the given point with the given slope.
4. (1, –10); m = 1
2
5. A student finds the slope of the line between (15, 6) and (10, 17). She writes 6 − 17 . What mistake did she
10 − 15
make?
Graph the equation.
6. y + 5 = 2 (x – 5)
5
Find the slope of the line.
7.
Find the rate of change for the situation.
8. You run 4 miles in one hour and 12 miles in three hours.
1
9. Write an equation of a line in slope-intercept form that has the same slope as 2x – 5y = 12 and the same
y-intercept as 4y + 24 = 5x.
Write the slope-intercept form of the equation for the line.
10.
11. Use the slope and y-intercept to graph the equation.
1
y=− x+4
3
Find the slope of the line that passes through the pair of points.
12. (4, 6), (7, 0)
Find the x- and y-intercept of the line.
13. 5x – 5y = 35
14. Why is it NOT possible to write the equation of the line through (8, 2) and (8, 10) in slope-intercept form?
15. Write y = 1 x + 10 in standard form using integers.
2
Write an equation of a line with the given slope and y-intercept.
16. m = –2, b = –6
2
ID: A
Linear Equations Practice Test
Answer Section
1. ANS:
−1; 21
TOP: 5-2 Example 1
2. ANS:
3
; –2
4
TOP: 5-2 Example 1
3. ANS:
y+4=
8
(x + 7); –8x + 9y = 20
9
TOP: 5-4 Example 3
4. ANS:
y + 10 =
1
(x – 1)
2
TOP: 5-4 Example 2
5. ANS:
She did not keep the order of the points the same in the numerator and the denominator.
TOP: 5-1 Example 4
6. ANS:
TOP: 5-4 Example 1
1
ID: A
7. ANS:
−
1
3
TOP: 5-1 Example 3
8. ANS:
4 miles per hour
9. ANS:
y=
2
x− 6
5
10. ANS:
y=
1
x−1
2
TOP: 5-2 Example 3
11. ANS:
TOP: 5-2 Example 5
12. ANS:
−2
TOP: 5-1 Example 4
13. ANS:
x-intercept is 7; y-intercept is –7.
TOP: 5-3 Example 1
14. ANS:
The line through (8, 2) and (8, 10) is a vertical line, so it has an undefined slope.
15. ANS:
–x + 2y = 20
TOP: 5-3 Example 4
2
ID: A
16. ANS:
y = –2x – 6
TOP: 5-2 Example 2
3