Use the resulting solution points to sketch the graph of

Question

QUESTION 1:

Determine which of the following points lies on the graph of the equation:

y = √(x+25)

(0,7)

(0,6)

(0,5)

(6,5)

(1,5)

QUESTION 2:

Complete the table. Use the resulting solution points to sketch the graph of the equation.

y = 3/4x -1

x	-4	0	8	12	16
y
(x, y)

QUESTION 3:

Graphically estimate the x- and y- intercepts of the graph:

y = x³ - 9x

x-intercept: (±3,0),(0,0)
y-intercept: (0,0)

x-intercept: (3,0),(0,0)
y-intercept: (0,0)

x-intercept: (-3,0),(0,0)
y-intercept: (0,0)

x-intercept: (0,±3),(0,0)
y-intercept: (0,0)

x-intercept (0,3),(0,0)
y-intercept (0,0)

QUESTION 4:

Find the x- and y-intercepts of the graph of the equation
y=49-7x

x-intercept: (7,0)
y-intercept: (0,-7)

x-intercept: (49,0)
y-intercept: (0,7)

x-intercept: (-7,0)
y-intercept: (0,-49)

x-intercept: (49,0)
y-intercept: (0,49)

x-intercept: (7,0)
y-intercept: (0,49)

QUESTION 5:

Determine whether the value of x=7 is a solution of the equation:

7 + 1/x+2 = 8

no

yes

QUESTION 6:

Solve the equation 8-5x=6

-4/5

-28/5

2/5

-14/5

-2/15

QUESTION 7:

Solve the equation and check your solution.

-2-4x=30

9

-11

-8

7

-10

QUESTION 8:

Solve the equation and check your solution.

5y + 1 = 6y - 5 + 8y

2/3

3/2

6/5

5/6

-2/3

QUESTION 9:

Solve the equation and check your solution.

67x - 24 = 3x + 8(8x-3)

3

67

-3

-67

All real numbers

QUESTION 10:

Solve the equation and check your solution.

5x/2 - x/6 = 14

10

6

7

9

8

QUESTION 11:

Solve the equation and check your solution. (If not possible, explain why.)

(5x-2)/(5x+2) = 2/3

2

5

6

4

10

QUESTION 12

Solve the equation and check your solution. (If not possible, explain why)

x/(x +9) + 9/(x+9) + 2 = 0

-18

7

11

No solution. The variable is divided out.

20

QUESTION 13

Write the quadratic equation in general form.

4x² = 8 - 9x

4x² + 9x + 8 = 0

4x² + 9x = -8

4x² - 9x - 8 = 0

-4x² + 9x - 8 = 0

4x² + 9x - 8 = 0

QUESTION 14

Solve the quadratic equation by factoring.

x² - 6x + 5 = 0

-1, 5

-1,-5

1,-5

1,5

6,5

QUESTION 15

Solve the quadratic equation by factoring.

x² + 8x + 16 = 0

4

-1/4

-4

±4

1/4

QUESTION 16

Solve the equation by extracting square roots.

(x+6)² = 5

6 + √5

-6 ± √5

-6 -√5

6 ± √5

-6 + √5

QUESTION 17

Use the Quadratic Formula to solve

x² + 20x + 98 = 0

x = -8, x = -12

x = -√2 - 10, x = √2 - 10

x = -√3 - 10, x = √3 - 10

x = 10, x = -10

x = -√2 - 9, x = √2 - 9

QUESTION 18

Write the complex number in standard form.

√ -9

3i

-3i

9i

4i

-9i

QUESTION 19

Find real numbers a and b such that the equation is true.

a + bi = 14 + 2i

a=16, b=4

a=18, b=6

a=14, b=2

a=15, b=14

a=17, b=5

QUESTION 20

Find all solutions to the following equation.

√(4x - 8) = √(4x + 9)

x = -17/4

x=9

no solution

x=-17

x=-8