Chapter 9 Practice Test

Algebra 1

Name___________________________________ ID: 1

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Chapter 9 Practice Test

Date________________ Period____

Solve each equation by taking square roots. 1) b 2 = 49

2) n 2 = 64

3) 49k 2 = 9

4) x 2 − 6 = 10

5) 3b 2 − 3 = 45

6) 2a 2 − 4 = −26

Solve each equation by factoring. 7) x 2 − x = 0

8) m 2 + m − 56 = 0

9) p 2 = −8 p

10) n 2 − 48 = 2n

Solve each equation with the quadratic formula. 11) 4 p 2 − 6 p = 8

12) 8r 2 − 12 = r

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Solve each equation by completing the square. 13) x 2 + 4x − 26 = −5

14) 2a 2 + 4a − 19 = −3

Sketch the graph of each function. 15) y = x 2 + 2x − 3

16) y = −x 2 + 4x y

−4

−3

−2

y

1

5

0.5

4.5

−1

1 −0.5

4

2 x

3.5

−1

3

−1.5

2.5

−2

2

−2.5

1.5

−3

1

−3.5

0.5

−4

−1

1

−4.5

−0.5

−5

−1

17) f ( x) = −2x 2 − 4x − 6 1

2

3

4

5 x

1 18) f ( x) = − x 2 − 4x − 5 2

y −8 −7 −6 −5 −4 −3 −2 −1

2

3

4 x

y 6

−2

5 −4 4 −6

3

−8

2 1

−10 −6

−12

−5

−4

−3

−2

−1

1 x −1 −2

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Answers to Chapter 9 Practice Test (ID: 1) 1) {7, −7} 5) {4, −4} 9) {−8, 0} 13) {3, −7}

2) {8, −8} 6) No solution. 10) {8, −6} 14) {2, −4}

3) {0.429, −0.429} 7) {1, 0} 11) {2.351, −0.851} 15)

4) {4, −4} 8) {7, −8} 12) {1.289, −1.164} y

1 −4

−3

−2

−1

1

2 x

−1 −2 −3 −4 −5

16)

17)

y 5

18)

y −6 −4 −2

2

4

−2

3

−4

y 6

6 x

5 4 3

−6

2

2

−8

1

1

−10 −1

4

1

2

3

4

5 x

−7 −6 −5 −4 −3 −2 −1 −1

−12

x

−2

−1

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