Algebra Quiz

Question

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. Sketch the graph of the equation. y5 = x

Symmetric with respect to the origin.

Write the equation of the line passing through (–3, –5) and (3, 0). Write your answer in the slope-intercept form y = mx + b.

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Indicate the slope. 3x + 4y = 12

a. –

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c. –

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Indicate the slope, if it exists. y = –3

a. 3

b. 0

c. -3

d. Undefined

Write the equation of the line with slope 0 and y-intercept –3. Write the equation in standard form Ax + By = C, A > 0.

a. –3x – y = 0

b. –3x + y = 0

c. y = –3

d. -3

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2y + 4y2 = 1

a. Symmetric with respect to the x-axis

b. Symmetric with respect to the y-axis

c. Symmetric with respect to the origin

d. Not symmetric with respect to the x-axis, the y-axis, or the origin

Find the midpoint of the line segment with endpoints (0, 3) and (10, 9).

a. (10, 12)

b. (–10, –6)

c. (5, 6)

d. (–5, –3)

Reflect A, B, C, and D through the x-axis and then through the y-axis and give the coordinates of the reflected points, A’, B’, C’, and D’.

a. A’ = (–1, 0), B’ = (–3, 6), C’ = (3, 1), D’ = (2, –5)

b. A’ = (0, –1), B’ = (–6, –3), C’ = (1, 3), D’ = (5, 2)

c. A’ = (0, –1), B’ = (6, –3), C’ = (1, 3), D’ = (–5, 2)

d. A’ = (1, 0), B’ = (3, –6), C’ = (–3, –1), D’ = (–2, 5)

Write the equation of the line passing through (–2, –8) and (–2, –6).

a. x = –2

b. y = –2

c. y = x – 2

d. y = 2x

10.

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2 + 6xy + y2 = 1

a. Symmetric with respect to the x-axis

b. Symmetric with respect to the y-axis

c. Symmetric with respect to the origin

d. Symmetric with respect to the x-axis, the y-axis, and the origin

11.

Reflect A, B, C, and D through the origin and give the coordinates of the reflected points, A’, B’, C’, and D’.

a. A’ = (–1, 0), B’ = (–3, 6), C’ = (3, 1), D’ = (2, –5)

b. A’ = (0, –1), B’ = (–6, –3), C’ = (1, 3), D’ = (5, 2)

c. A’ = (1, 0), B’ = (3, –6), C’ = (–3, –1), D’ = (–2, 5)

d. A’ = (0, –1), B’ = (6, –3), C’ = (1, 3), D’ = (–5, 2)

12.

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. Sketch the graph of the equation. y2/7 = x

Symmetric with respect to the y-axis.

Symmetric with respect to the x-axis.

Symmetric with respect to the y-axis.

Symmetric with respect to the x-axis.

13.

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2 + y2 + x2y2 = 4

a. Symmetric with respect to the x-axis

b. Symmetric with respect to the y-axis

c. Symmetric with respect to the origin

d. Symmetric with respect to the x-axis, the y-axis, and the origin

14.

Reflect A, B, C, and D through the y-axis and give the coordinates of the reflected points, A’, B’, C’, and D’.

a. A’ = (–1, 0), B’ = (–3, –6), C’ = (3, –1), D’ = (2, 5)

b. A’ = (0, 1), B’ = (6, 3), C’ = (1, –3), D’ = (–5, –2)

c. A’ = (0, –1), B’ = (–6, –3), C’ = (–1, 3), D’ = (5, 2)

d. A’ = (1, 0), B’ = (3, –6), C’ = (–3, 1), D’ = (2, –5)

15.

Find the equation of the line with slope –6 and y-intercept 4. Write the equation in standard form Ax + By = C, A > 0.

a. 6x – y = 4

b. 6x – y = –4

c. 6x + y = 4

d. 6x + y = –4

16.

Find the distance between (–3, –2) and (1, 4).

a. 27

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http://student.allied.edu/uploadedfiles/Images/f2b76139-5a99-465b-8cfb-4d6af578ff09.gif

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17.

M is the midpoint of A and B. Find the indicated point. Verify that

a. (9, 24)

b. (–6, –3)

c. (6, 3)

d. (–11, –12)

18.

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. y = x – 3

a. Symmetric with respect to the x-axis

b. Symmetric with respect to the y-axis

c. Symmetric with respect to the origin

d. No symmetry with respect to x-axis, y-axis, or origin

19.

Solve for y, producing two equations, and then graph both of these equations in the same viewing window.

(y – 2)2 – x2 = 9

20.

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. Sketch the graph of the equation. 16×2 – y2 = 1.

Symmetric with respect to the x-axis

Symmetric with respect to the y-axis

Symmetric with respect to the x-axis, y-axis, and origin

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