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Chapter Test Solving Equations

Click the button next to the response that best answers the question.

1. Solve 8x + 6 = 46. x = 5

x = 3 2 7

2. What kind of equation is 18x + 2x - 8 = 4(5x + I ) ? an equation with no solution

an equation whose solution is not an integer

an identity

an equation whose solution is 0

3. Solve -12 = 4m + 5.

4. Solve the proportion I = 2. x W

14

7

11

8

5. Solve 55t + 150 = 436. t = 3.38

t = 5.2

t = 2.13

t = 10.7

6. Solve 5 y - 3 = 12. t3

y = 1 2 1 2

y = 7 1 2

y = 36

y = 18

7. A 58-m garden hose is stretched diagonally across a yard. I f the width of the yard is 24 m, what is the length of the yard, to the nearest tenth?

34 m

52.8 m

62.8 m

82 m

i'i arson Prentice Hall: Web Codes http://wa~w.phschool.com~webcodes 1 O/indexcfm?fi~seaction=home ....

8. Two travelers are 220 kilometers apart a t noon and are headed toward each other along a straight road. They meet at 5: 30 P.M., and one traveled 20 kilometers per hour faster than the other. What is the speed of the faster traveler?

3 1 km/h

11 krn/h

30 km/h

50 kmlh

9. The pair of figures is similar. Find the missing length w.

10. The length of a rectangle is one fourth its width. The perimeter o f the rectangle is 60 centimeters. I f w represents the width of this rectangle, which expression represents its length?

I = l w 4

11. Which number is rational? -m & - -\!I0

$5

12. Complete the statement 90 s = min. 2.5

2

1.5

0.5

13. Solve the proportion s = g. 7 42

14. A map has a scale of 5 crn : 12 km. Two cities are 7 cm apart on the map. To the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?

0.5 km

8.6 krn

16.8 km

18 km

15. Solve the equation 72 - 4 = -13 + z. z = - 3

2

z = -12 6

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16. Use the formula p = 2(1 + w) to find the perimeter of a rectangle, where p is the perimeter, I is the length, and w is the width of the rectangle. The length of a rectangle is one inch less than three times the width. The perimeter of the rectangle is 62 inches. What equation can you use to find the width of this rectangle?

62 = 2w + 2(3w - 1)

62 = 2w + 2(1 - 3w)

62 = 2(3w) + 2(w - 1)

62 = w + ( 3 ~ - 1)

17. Solve $ + 8 = -7

18. Simplify * d 7 .

- 9

9

5 9

undefined

19. Solve the equation 3(x - 8) = -15. x = -13

x = -2 3

20. Find the greatest possible error for the measurement 4.1 cm. 0.5 cm

0.01 cm

0.1 cm

0.05 cm

Score My Test

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Go to Prentice Hall Mathematics: Alqebra 1 200719 Student Home Paae

Chapter Test

Solving Equations

Results o f the quiz.

1. Solve 8x + 6 = 46. CORRECT: x = 5

2. What kind of equation is 18x + 2x - 8 = 4(5x + I ) ? CORRECT: an equation with no solution

3. Solve -12 = 4m + 5. CORRECT: m = - 4 1

4

4. Solve the proportion 2 = 25. x 40

INCORRECT: 14 CORRECT: 8

5. Solve 55t + 150 = 436. INCORRECT: t = 3.38 CORRECT: t = 5.2

6. Solve s y - 3 = 12. 6

INCORRECT: y = 1 2 1 2

CORRECT: y = 18

7. A 58-m garden hose is stretched diagonally across a yard. I f the width of the yard is 24 m, what is the length of the yard, to the nearest tenth?

INCORRECT: 34 m CORRECT: 52.8 m

8. Two travelers are 220 kilometers apart at noon and are headed toward each other along a straight road. They meet at 5:30 P.M., and one traveled 20 kilometers per hour faster than the other. What is the speed of the faster traveler?

INCORRECT: 3 1 km/h CORRECT: 30 kmlh

9. The pair of figures is similar. Find the missing length w.

l ----l

\I'

CORRECT: 7.68 m

10. The length of a rectangle is one fourth its width. The perimeter of the rectangle is 60 centimeters. I f w represents the width of this rectangle, which expression represents its length?

CORRECT: I = l w 4

11. Which number is rational? INCORRECT: --m CORRECT: d%

12. Complete the statement 90 s = min. INCORRECT: 2.5

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CORRECT: 1.5

13. Solve the proportion s = g. 7 42

INCORRECT: 32 CORRECT: 30

14. A map has a scale of 5 cm : 12 km. Two cities are 7 cm apart on the map. To the nearest tenth o f a kilometer, what is the actual distance corresponding to the map distance?

INCORRECT: 0.5 km CORRECT: 16.8 k m

15. Solve the equation 72 - 4 = -13 + 2.

CORRECT: z = - 3 2

16. Use the formula p = 2(1 + w) to f ind the perimeter of a rectangle, where p is the perimeter, I is the length, and w is the width of the rectangle. The length of a rectangle is one inch less than three times the width. The perimeter of the rectangle is 62 inches. What equation can you use to find the width of this rectangle?

CORRECT: 62 = 2w + 2(3w - 1)

17. Solve K + 8 = -7 3

INCORRECT: x = 3 CORRECT: x = -45

18. Simplify ffi. INCORRECT: -9 CORRECT: f 9

19. Solve the equation 3(x - 8) = -15 INCORRECT: x = -13 CORRECT: x = 3

20. Find the greatest possible error for the measurement 4.1 cm. INCORRECT: 0.5 cm CCRRECT: 0.05 cm

You got 7 out of 20 correct.

Try again.

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