Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Solve each equation for y. Then find the value of y for each value of x.

11. y + 2x = 5; x = − 1 , x equals negative 1 comma  0, 3
12. 2y + 4x = 8; x = − 2 , x equals negative 2 comma  1, 3
13. 3 x − 5 y = 9 ; x = − 1 , 3 x minus 5 y equals 9 semicolon x equals negative 1 comma  0, 1
14. 4 x = 3 y − 7 ; 4 x equals 3 y minus 7 semicolon  x = 4, 5, 6
15. 5 x = − 4 y + 4 ; 5 x equals negative 4 y plus 4 semicolon  x = 1, 2, 3
16. 2y + 7x = 4; x = 5, 10, 15
17. x − 4 y = − 4 ; x = − 2 , x minus 4 y equals negative 4 semicolon x equals negative 2 comma  4, 6
18. 6 x = 7 − 4 y ; x = − 2 , − 1 , 0 6 x equals 7 minus 4 y semicolon x equals negative 2 comma negative 1 comma 0

See Problem 2.

Solve each equation for x.

19. mx + nx = p
20. a x − x = c eh x minus x equals c
21. r x + s x t = 1 fraction r x plus s x , over t end fraction . equals 1
22. y = x − v b y equals . fraction x minus v , over b end fraction
23. S = C + xC
24. x a = y b x over eh , equals , y over b
25. A = Bxt + C
26. 4 ( x − b ) = x 4 open x minus b close equals x
27. x + 2 y − 1 = 2 fraction x plus 2 , over y minus 1 end fraction . equals 2

See Problem 3.

Solve each problem. Round to the nearest tenth, if necessary. Use 3.14 for π.

28. What is the radius of a circle with circumference 22 m?
29. What is the length of a rectangle with width 10 in. and area 45 in. 2 ? 45 , in. squared , question mark
30. A triangle has height 4 ft and area 32 ft 2 . 32 , ft squared , .  What is the length of its base?
31. A rectangle has perimeter 84 cm and length 35 cm. What is its width?
32. Parks A public park is in the shape of a triangle. The side of the park that forms the base of the triangle is 200 yd long, and the area of the park is 7500 yd 2 . 7500 , yd squared , .  What is the length of the side of the park that forms the height of the triangle?

    

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