Algebra 2-1 Unit 3 Semester Review

The points (2, 1), (3, 3), (4, 5), and (5, 6) are collinear.

False

The line through (1, 5) and parallel to the x-axis.

y=5

The line including (4, 7) and (0, 7).

y=7

The line through (1, 0) and parallel to x - y = 7.

y=x-1

x + y = -3 y = 2x

(-1,-2)

The x-intercept of the line whose equation is 2x - 3y = 6 is

3

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

True

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

The slope of the line whose equation is x = 6 is

no slope

Input the equation of the given line in standard form. The line with m = -1/2 and the point (-2, -3).

x+2y=-8

Which of the following points does not lie on the line whose equation is x+ y = 7?

(-1, -6)

The y-intercept of the line whose equation is 3x - 2y = 6 is

-3

Find the slope of the line that passes through the points (3, 6) and (5, 3).

-3/2

Find the slope of the line whose equation is 8y = 4 - 3x.

-3/8

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

0

The line that passes through (1, 1) and (3, 4)

3x-2y=1

Find the slope of the line that passes through the points (-3, -1) and (0, 3).

4/3

The slope of the line whose equation is 5x - 3y = 4 is

5/3

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

False

x + y = 6 2x - y = 3

has one solution

The line through (0, -3) and (3, 0)

x-y=3

The line with m = 2, intersecting 2x - 3y = 6 at x = 3.

y=2x-6

Input the equation of the given line in slope-intercept form. The line with m = 3 and b = -2

y=3x-2

The line with m = -1 /2 and b = 1

x+2y=2

The line including (2, 3) and (2, 5).

x=2

x + 2y = 0 2x + 4y = 0

coincident

The slope of the line whose equation is 2x + 5y + 1 = 0 is

-2/5

The line with m = -3/4 and b = -2.

3x+4y=-8

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

False

The equations of two lines are x - 3y = 6 and y = 3x + 2. Determine if the lines are parallel, perpendicular or neither.

neither

Find the slope of the line whose equation is 7x - 2y = 4.

7/2

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

7/2

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

3

Find the slope of the line passing through the points (3, 8) and (-2, 5).

3/5

Find the slope of the line whose equation is 7y = 3x + 1.

3/7

The line with m = -3/2 and b = 6

3x+2y=12

The line with m = -3/8 and passing through (5, -4)

3x+8y=-17

The y-intercept of the line whose equation is 2x + 5y = 8 is

8/5

3x + 2y = 5 5x + 2y = 7

8x=12

6x - 2y = 5 3x - y = 10

no solution

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

The line including (3, 1) and (-2, 3).

2x+5y=11

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

(7,-1)

The slope of the line passing through the points (2, 7) and (-4, 8) is

-1/6

The y-intercept of the line whose equation is 2x - 3y = 6 is

-2

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

no slope

One number is 5 more than twice another and their sum is 23. Which of the following system of equations represents the word problem?

x + y = 23 and y = 2x + 5

3x + 2y = 6 4x + y = 1

(-4/5, 21/5)

Which of the following points lies on the line whose equation is y = 2x - 3?

(1, -1)

2x - 6y = 5 x + y = 2

(17/8, -1/8)

7x + 2y = 4 y = x + 1

(2/9, 11/9)

x + 2y = 5 3x + 5y = 14

(3,1)

2x + y = 8 x + y = 4

(4,0)

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

-2/3

If the point (-1/2, y) lies on the line whose equation is 2x - 3y = 6, what is the value of y?

-7/3

Find the slope of the line whose equation is 9x + 5y = 1.

-9/5

The slope of the line passing through the points (-1, 5) and (3, 5) is

0

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

1

The y-intercept of the line whose equation is x - y = -1 is

1

Find the slope of the line that passes through the points (-2, 4) and (-5, -6).

10/3

The line that passes through (-3, 5) and (-2, -6)

11x+y=-28

5x + 2y = 5 3x - y = 14

11x=19

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

2/3

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

2/3

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

Input the equation of the given line in standard form. The line including the two points (5, 3), (8, -2)

5x +3y=34