Linear Equation Problems
1 Solve 7(x+21)=52.
f. None of these
2 Solve the following equation. x2-16x+52=-8
Answer
_________________________
3 Graph the following linear equation. 26=8x + 10
4 Solve the following equation. x2 - 5x - 22 =2
Answer
_________________________
5 Find the slope of the line which is perpendicular to the
line which contains the points(-9,-5）, （-4, 7）.
h. None of these
6 Find the x-intercept of the following linear equation. 8 -
8y =4x - 6
f. None of these
7 Graph the following linear equation. 8 - 5y =3x
+ 5
8 Solve the following equation. x - 16x + 97 = 3x
+ 7
Answer
_________________________
9 Solve 9 （x + 76）=20 （14x - 16 ）+ 28x.
e. None of these
10 Graph the following linear equation. 7 - 4y = 4
11 Solve 46x + 75 = 4.
f. None of these
12 Suppose you need 7 pounds of dog found that costs of $2.
73 per pound. How many pounds of cheap dog food which costs $1. 76 per pound should be mixed with
premium dog food which costs $3. 61 per pound? The answer is only the pounds of cheap
dog food used.
a. 13. 621 621 6
b. 10. 291 891 9
c. 23. 989 189 2
d. 3. 329 729
73
e. 3. 52
f. None of these
13 Solve the following equation. x
- 8x + 14 = -1
Answer
_________________________
14 Find the equation of the line which contains the points
(-4, 14 ), (4,-26) and write it in slope-intercept form.
a. y = -6x - 5
b. y =5x + 6
c. y =5 - 6x
d. y = -5x - 6
e. y =6 - 5x
f. y =5x
- 6
g. None of these
15 Find the slope of the line which is parallel to the line
which contains the points (-6,-10), (-4,-9).
g. None of these
16 Find the slope of the line which contains the points
（6,-9）, （5, 4）.
g. None of these
17 Solve
.
e. None of these
18 Suppose you need 3 gallons of 46% antifreeze solution.
How many gallons of 5% solution should be mixed with 63% solution? The answer is only the number
of gallons of 5% solution.
f. None of these
19 Suppose you need 3 gallons of 30% antifreeze solution.
How many gallons of 18% solution should be mixed with 86% solution? The answer is only the number
of gallons of 18% solution.
f. None of these
20 Solve the following equation. x2
- 5x + 22= 8x - 8
Answer
_________________________
21 Solve 5(x + 12) = 20(26x - 25) + 31x.
e. None of these
22 Solve 47(x + 90)= 48.
f. None of these
23 Solve the following equation. x2
- 3x - 65= 5
Answer
_________________________
24 Graph the following linear equation. y =7 - 5x
25 Find the slope of the following linear equation. 3y
+ 3=10x + 5
g. None of these
26 Graph the following linear equation. 2 - 4y =8x
+ 5
27 Solve a(x + b）= c.
a. （a + b）/c
b. （c - a）/b
c. （c - b）/a
d. c/a - b
e. c/b
- a
f. None of these
28 Graph the following linear equation. y =10 - 3x
29 Find the x-intercept of the following linear equation. -5y
- 9 =6x - 10
f. None of these
30 Find the slope of the line which contains the points (-9,
5) ,(6,-7).
g.
None of these
31 Graph the following linear equation. -16 =10x + 4
32 Solve 50x + 6 =70.
f. None of these
33 Find the slope of the line which is parallel to the line
which contains the points (5,-6), (-8, 9).
g. None of these
34 Solve the following equation. 6x2
- 23x + 7 =
-8
Answer
_________________________
35 Find the y-intercept of the following linear equation. 7y
+ 9 =5 - 7x
h. None of these
36 Suppose you need 9 pounds of dog found that costs of $2.
81 per pound. How many pounds of cheap dog food which costs $1. 25 per pound should be mixed with
premium dog food which costs $3. 95 per pound? The answer is only the pounds of cheap
dog food used.
a. 13. 133 333 3
b. 3. 8
c. 9. 333 333 33
d. 22. 533 333 3
e. 8.
274 193 55
f. None of these
37 Find the slope of the following linear equation. 2y
+ 6 =10x + 4
g. None of these
38 Find the y-intercept of the following linear equation. -7y
- 5 =7x - 6
h. None of these
39 Graph the following linear equation. 2 - 3y= 6
40 Solve the following equation. 6x2
- 56x + 16 = -2
Answer
_________________________
41 Solve 
.
e. None of these
42 Find the equation of the line which contains the points
（4, 15）, （-4,-33） and write it in slope-intercept form.
a. y = -9x - 6
b. y = -6x - 9
c. y
=6x - 9
d. y =6 - 9x
e. y =6x + 9
f. y
=9 - 6x
g. None of these
43 Find the slope of the line which is perpendicular to the
line which contains the points (-4, 8), (-7, 7).
h. None of these
