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6 POINTS
NAME_______________________________DATE_________________PER.______
TEST #3: APPLICATIONS OF LINEAR EQUATIONS
FORM M
Set up an equation and solve each of the following. Sketch a picture for
the perimeter problems.
1. Four more than three times a number is 175. Find the number.
____________________
6 POINTS
2. Negative seven times a number is 364. Find the number.
____________________
8 POINTS
3. The length of a rectangle is 5 more than the width. If the perimeter is 42 feet,
what is the width?
____________________
TEST # 3 FORM M
8 POINTS
4. The perimeter of a triangle is 70. If the three sides have lengths of ( 3x + 2 )
mm, ( 4x – 3 ) mm, and ( x + 7 ) mm, find the length of the longest side.
____________________
8 POINTS
5. Find the length of each side of the isosceles trapezoid if the perimeter equals
114 cm.
2x + 8
x
x
5x - 2
____________________________
8 POINTS
6. Brian Walker is a local real estate broker. He receives a 4% commission on
each property he sells. If Brian’s commission was $7280, what was the selling
price of the property he sold?
____________________
2
TEST # 3 FORM M
3
8 POINTS
7. Lauren went shopping and paid $111.55 for a new dress for a dance. If the
sales tax rate was 6.75%, what was the ticket price of the dress that Lauren
bought for the dance?
____________________
Use your formula chart to find the correct formula and solve. (6 pts each)
8. Find the length of one base of a trapezoid if the area is 108 in2, the height is
8 in and the length of the other base is 10 in.
____________________
9. Find the radius of a circle if the area of the circle is 256 cm2.
_____________________
TEST # 3 FORM M
10. Find the lateral surface area of a cylinder if the radius of the cylinder is 12
cm and the height is 18 cm. Use 3.14 for  .
______________________
Solve each equation of the indicated variable. (6 pts each)
11. Solve y = mx + b for x.
_____________________
12. Solve P = 2L + 2W for W.
______________________
4
TEST # 3 FORM M
MULTIPLE CHOICE. Choose the best answer and write the corresponding
letter in the blank provided. (3 pts each)
________13. Which of the equations below represents the missing step of the
solution process?
4x – 3(2x + 4) = 0
-2x – 12 = 0
-2x = 12
x=6
A. 4x – 3(2x + 4) = 0
________14. Solve 3 -
A. –4
B. 4x – 6x + 4 = 0
a
=5
2
B. –1
C. –16
________15. Solve 3( r + 2 ) – 2( 2r – 1) = 12
A. –8
B. 4
C. –4
C. 4x – 6x – 12 = 0
5
TEST # 3 FORM M
________16. Simplify 3(a - 7b) + 2(5b + 4) – 6a
A. –3a + 3b + 8
B. –3a – 11b + 4
________17. Evaluate - -30 + -15.
A. –15
B. 45
C. 15
_______18. Evaluate 2x2 – y for x = 3 and y = -2.
A. 14
B. 18
C. 20
C. –3a – 11b + 8
6
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