QUIZ 2: LINEAR EQUATIONS AND INEQUALITIES

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + 2y = 0 2x + 4y = 0

coincident

Ben has $3.40 consisting of quarters and dimes. How many coins of each kind does he have if he has 22 coins? Which of the following system of equations represents the word problem if d is the number of dimes and q is quarters?

d + q = 22 and 10d + 25q = 340

If a = -12/5, then 5x + 2y = 6 and 3x - ay = 4 are parallel.

f

If b = 3, then 3x + y = 1 and bx - y = 3 are parallel.

f

The slope of the line whose equation is 2x - 1 = 0 is

no slope

6x - 2y = 5 3x - y = 10 Solve the system of equations.

no solution

The lines 2x - 3y = 1 and 2x + 3y = 2 are intersecting.

t

Solve the linear system. x + y = -3 y = 2x

(-1, -2)

3x + 2y = 6 4x + y = 1 Solve the system of equations.

(-4/5, 21/5)

2x - 6y = 5 x + y = 2 Solve the system of equations.

(17/8, -1/8)

2x + y = 8 x + y = 4 The lines whose equations are given intersect at

(4, 0)

x + y = 6 x - y = 8 Solve the system of equations.

(7, -1)

The slope of the line whose equation is 3y + 2x = 1 is

-2/3

The slope of the line whose equation is y - 3 = 0 is

0

Find the slope of the line that passes through the points (2, 1) and (-4, -5).

1

Find the slope of the line that passes through the points (0, 0) and (-2, -3).

3/2

The slope of the line whose equation is 3x - 2y = 4 is

3/2

The y-intercept of the line whose equation is 3x + 2y = 7

7/2

3x + 2y = 5 5x + 2y = 7 Based on the given system of equations, which of the following is not true?

8x = 12

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 6 x - y = 0

one solution