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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