# Section 3.4 – Equivalent Linear Relations

11 Questions | Attempts: 289  Settings  Mathematics has a wide range of topics in algebra that it covers and one of them is equivalent linear equation. Deriving and working these equations need a lot of practice. This quiz will help you practice on the subject.

• 1.
Mary works part time at a clothing store and makes \$240 in a week.  She earns 4% commision on her shirt sales and 6% commission on her jeans sales.  What would be the equation that would represent this situation?  (Let "s" represents the number of shirts she sells and "j" represents the number of jeans she sells)
• A.

4s + 6j = 240

• B.

0.4s + 0.6j = 240

• C.

0.04s + 0.06j = 240

• D.

None of the above

• 2.
Mary works part time at a clothing store and makes \$240 in a week.  She earns 4% commision on her shirt sales and 6% commission on her jeans sales.  What is the most shirt sales she could complete in one week?  (Let "s" represents the number of shirts she sells and "j" represents the number of jeans she sells)
• A.

\$240

• B.

\$6000

• C.

\$4000

• D.

None of the above

• 3.
Which graph represents the graph of the relation 3x - 4y = 12 using the x and y interecepts?
• A.

Top-Left

• B.

Top-Right

• C.

Bottom-Left

• D.

Bottom-Right

• 4.
Determine the x-intercept of 2x -  4y = 6
• A.

-3

• B.

-3/2

• C.

3/2

• D.

3

• 5.
Determine the y-intercept of -5x + 7y = 8
• A.

8/5

• B.

8/7

• C.

-8/7

• D.

-8/5

• 6.
Locate three points on the line 8x - 2y = 16
• A.

(0, 2), (-8, 0) and (-12, -1)

• B.

(0, -8), (2, 0) and (-1, -12)

• C.

(0, 8), (-2, 0) and (-1, -12)

• D.

(0, -2), (8, 0) and (-12, -1)

• 7.
Locate three points on the line -6x + 4y - 12 = 0
• A.

(0, -2), (3, 0) and (6, 12)

• B.

(0, 2), (-3, 0), and (-12, 6)

• C.

(0, 3), (-2, 0), and (6,12)

• D.

(0, -3), (2, 0), and (12, 6)

• 8.
Petra has \$7.75 in quarters and dimes.  Which relation models this example?
• A.

15q + 25d = 7.75

• B.

28q + 8d = 7.75

• C.

10q + 35d = 7.75

• D.

.25q + .10d = 7.75

• 9.
Determine the x/y intercepts of the relation 6.25x + 3.75y = 18.75
• A.

X-intercept = 3, y-intercept = 5

• B.

X-intercept = 5, y-intercept = 3

• C.

X-intercept = -3, y-intercept = 5

• D.

X-intercept = -3, y-intercept = -5

• 10.
Joe is buying cheese and crackers for the party.  If a block of cheese costs \$4 and a package of crackers costs \$2.50, how many of each did he buy if he spent \$47 on 14 items.
• A.

8 crackers and 6 blocks of cheese

• B.

6 crackers and 8 blocks of cheese

• C.

7 crackers and 7 blocks of cheese

• D.

9 crackers and 5 blocks of cheese

• 11.
Write the equation of the line whose x-int= -3 and y-int = 5 in the specific form of Ax + By = C
• A.

Y = 5/3x + 5

• B.

3x - 5y = -25

• C.

3x - 5y = -15

• D.

5x - 3y = -15