graph of equations

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

(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.

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:

yes

Question 6

Solve the equation 8-5x=6

Question 7

Solve the equation and check your solution.

-2-4x=30

-11

-8

-10

Question 8

Solve the equation and check your solution.

5y + 1 = 6y – 5 + 8y

2/3

3/2

6/5

5/6

-2

Question 9

Solve the equation and check your solution.

67x – 24 = 3x + 8(8x-3)

-3

-67

All real numbers

Question 10

Solve the equation and check your solution.

Question 11

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

Question 12

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

-18

No solution. The variable is divided out.

Question 13

Write the quadratic equation in general form.

4×2 = 8 – 9x

4×2 + 9x + 8 = 0

4×2 + 9x = -8

4×2 – 9x – 8 = 0

-4×2 + 9x – 8 = 0

4×2 + 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

-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

-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.

x = -17/4

x=9

no solution

x=-17

x=-8

775.

Evaluating expressions

Question 1
Evaluate the expression

-5_ = {-5}

-1

Question 2

Identify the terms. Identify the coefficients of the variable terms of the expression. ques 3

Evaluate the expression for the value of x=-3. (If not possible, state the reason)

2x-2

-9

-6

-8

Question 4

Evaluate the following expression

(33)0

-81

-1

Question 5

Evaluate -u2v3 when u=4 and v=-2

128

-256

Question 6

Simplify the following expression.

6×5(x4)

6×11

6×9

6×8

6×7

6×10

Question 7

Write a polynomial that fits the description:

A fifth-degree polynomial with leading coefficient 4

1024×5 + 3x + 1

4×5 + 3x + 1

4×4 + 3×3 + 4×2 + 5x + 1

6×5 + 3x + 1

x5 + 4

Question 8

Write a polynomial in standard form and identify the degree and leading coefficient of the polynomial.

-x + 19×2 + 1

-x + 19×2 + 1 Degree:1; Leading Coefficient: -1

19×2 – x + 1 Degree: 19; Leading Coefficient: 1

19×2 – x + 1 Degree:3; Leading Coefficient: 1

19×2 = x + 1 Degree: 2; Leading Coefficient: -19

19×2 – x + 1 Degree: 2; Leading Coefficient: 19

Question 9

Perform the indicated operation below and simplify if possible by combining like terms. Write the result in standard form.

(6y2 – 7y – 3) – (2y2 – 9y -7)

4y2 + 2y + 4

4y2 + 2y – 10

4y2 – 16y +4

8y2 -16y + 4

8y2 + 2y + 4

Question 10

Multiply or find the special product.

(4x – 9) (8x – 4)

32×2 + 36

32×2 + 88x -36

32×2 + 88x + 36

32×2 – 88x – 36

32×2 – 88x + 36

Question 11

Multiply or find the special product

(x+4)(x+9)

x2 + 13x

x2 + 4x + 36

x2 + 36

x2 + 13x + 36

x2 + 13x + 9

Question 12

Factor out the common factor.

8×3 – 104x

8×3(1 – 13x)

8(x3 – 13x)

8×2(x – 13)

x(8×2 – 104)

8x(x2 – 13)

Question 13

Completely factor the difference of two squares.

x2 – 16

(x+4) – (x-4)

(x+4)2

(x+4)(x-4)

(x+4)+(x-4)

(x-4)2

Question 14

Factor the perfect square trinomial.

x2 – 16x + 64

(x+8)(8-x)

(x+8)2

(x-8)2

(x+8)(x-8)

(x+8)

Question 15

Factor the trinomial

x2 + 14x + 45

(x-5)(x-9)

(x+5)(x-9)

(x+5)(x+9)

(x-5)-(x-9)

(x-5)(x+9)

5 points

Completely factor the expression

5×2 – 125

5(x+5)(x+125)

5(x+5)(x+5)

5(x-5)(x-5)

5(x+5)(x-125)

5(x+5)(x-5)

Question 17

Find the domain of the expression.

All real numbers x

All real numbers x such that x ≠ 5

All nonnegative real numbers x such that x = 5

All real numbers x such that x < 5

All real numbers x such that x ≠ 1/5

Question18

Find the coordinates of the point labeled VI

(3,2)

(3,-2)

(-2,-3)

(-3,-2)

(2,3)

Question 19

Plot the points below whose coordinates are given on a Cartesian coordinate system.

(-2,7), (-7,-2), (7,-5), (7,-8)

Question 20

Find the distance between the points

(-7,8), (5,-8)

400