Algebra

1) Find the slope of the line passing through the pair of points or state that the slope is undefined.

(6,3) and (7, 5)

Select one:

a.-2

b.2

c.1/2

d.8/13

2) Find the slope of the line.

y = -6/7x - 6

Select one:

a.-6/7

b.-7/6

c.6/7

d.-6/7

3) Find the point-slope form of the equation of the line satisfying the given conditions and use this to write the slope-intercept form of the equation.

Slope = 5, passing through (2, 4)

Select one:

a.y = -5x + 6

b.y = 5x + 6

c.y = 5x - 6

d.y = 1/5x - 6/5

4) an equation in slope-intercept form of the line satisfying the given conditions.

Parallel to line y = 4x; containing the point (7, 5)

Select one:

a.y = 4x - 23

b.y = 4x + 23

c.y - 5 = 4x - 7

d.y = 4x

5) Solve the system by the substitution method. Use set notation to express the solution set.

x + y = -4

y = 3x

Select one:

a.{(-1, -3)}

b.{(-1, 3)}

c.{(1, -3)}

d.{(1, 3)}

6) Solve the system by the substitution method. Use set notation to express the solution set.

-7x + 9y = -21

-4x - 2y = -12

Select one:

a.no solution

b.{(3, 0)}

c.{(-3, 0)}

d.{(3, 1)}

7) Solve the system by the best method. Use set notation to express the solution set.

x + 8y = 0

x - 8y = 32

Select one:

a.{(-2, 16)}

b.{(-16, -2)}

c.{(16, 2)}

d.{(16, -2)}

8) Solve the problem.

One number is four more than a second number. Two times the first number is 12 more than four times the second number.

Select one:

a.2 and -2

b.-10 and -14

c.1 and -3

d.3 and -1

9)Add the polynomials.

(9x³+ 5x + 7) + (8x²+ 4x + 5)

Select one:

a.3x³+ 4x²+ 9x + 12

b.9x³+ 8x²+ 9x + 12

c.9x³- 8x²+ 9x - 12

d.9x³+ 8x²+ 3x - 4

10) Subtract the polynomials.

(7x²+ 3x⁴- 6 - 2x³) - (-8 + 8x³+ 8x⁴+ 3x²)

Select one:

a.-5x⁴- 10x³+ 4x²+ 2

b.-5x⁴+ 6x³+ 4x²- 14

c.11x⁴+ 6x³+ 10x²+ 2

d.-5x⁴+ 6x³+ 10x²+ 2