Algebra questions I am having a hard time with. Been trying to help my daughter but I am terrible in math?

Question

Use the Insert and Symbols menus in Word to present the exact less than or equal to ≤ and greater than or equal to ≥ symbols. All coordinate answers need to be presented in (x, y) format (in parentheses, separated by a comma). When the line you’re typing is an equation or an inequality, you should not start the line with an extra leading equals sign.

2. Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.
x + 4 – 8x – 1 > 3(x – 2)

3. Name the coordinate described here:
From the origin, the point is three places to the right and eight places down.

4. Find the midpoint between these points:
(-2, 7) and (-8, -5)

5. Fill in the chart given this linear equation:
y = 5x – 4
**Type all your work below the chart.
xy
-2
-1
0
1
2

6. The linear equation y = 6x – 5 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below).

Answer 1

2) x + 4 – 8x – 1 > 3(x – 2)

- 7x + 3 > 3x - 6 {combine like terms on left, distribute the 3 on the right}

- 10x > - 9 {subtract 3x, subtract 3}

x > 9/10 {divide by - 10}

Note that if you divide or multiply an inequality by a negative number, the orientation of the inequality changes.

3 < 5 is true

-3 < -5 is no longer true, but

-3 > -5 is true


3. Name the coordinate described here: From the origin, the point is three places to the right and eight places down.

(3, -8)

4. Find the midpoint between these points:
(-2, 7) and (-8, -5)

Midpoint is [(x1 + x2)/2, (y1 + y2)/2]

[(-2-8)/2, (7-5)/2]

(-10/2, 2/2)

(-5, 1)



5. Fill in the chart given this linear equation:
y = 5x – 4

Replace x with the given x value and calculate the corresponding value of y

If x = -2, y = 5(-2) - 4 = -10-4 = -14


6. The linear equation y = 6x – 5 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below)

A horizontal line is y = number, a vertical line is x = number. This line has a slope that is neither horizontal or vertical. tha slope is actually 6 - if x increases by 1, y increases by 6

Answer 2

2. x + 4 - 8x - 1 > 3(x - 2)
-7x + 3 > 3x - 6
-10x > -9
x < 9 / 10
(Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality)

3. (3, -8)

4. The midpoint is the average:
((-2 + -8) / 2, (7 + -5) / 2) =
(-10 / 2, 2 / 2) =
(-5, 1)

5. Plug in each of the values for x into the equation to find the corresponding value of y, e.g. for x = -7, y = 5x - 4 = 5(-7) - 4 = -35 - 4 = -39
x y
-2 -14
-1 -9
0 -4
1 1
2 6

6. Diagonal. A horizontal line has an equation of the form y = (some constant), whereas a vertical line has an equation of the form x = (some constant). Any other equation represents a diagonal line.

Answer 3

2. Solve for x. Collect xs on the LEFT side. The solution should be presented with x first, the correct inequality symbol, then the number.
x + 4 – 8x – 1 > 3(x – 2)
-7x+3>3x-6
-10x>-9
x<9/10

3. Name the coordinate described here:
From the origin, the point is three places to the right and eight places down.(3,-8)

4. Find the midpoint between these points:
(-2, 7) and (-8, -5)
(-5,1)

5. Fill in the chart given this linear equation:
y = 5x – 4
**Type all your work below the chart.
xy
-2 -14
-1 -9
0 -4
1 1
2 6

6. The linear equation y = 6x – 5 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below).diagonal

Answer 4

2. x+4-8x -1 > 3(x-2)
3-7x > 3x-6
-10x > -9
10x < 9
x < 0.9

3. (3,-8)

4. (((-2 + (-8))/2), (7+(-5))/2) =
(-10/2, 2/2) =
(-5, 1)

5. @ x = -2, y = 5(-2)-4 = -14
@ x = -1, y = 5(-1)-4 = -9
@ x = 0 , y = 5(0) -4 = -4
@ x = 1 , y = 5(1) -4 - 1
@ x = 2, y = 5(2) -4 = 6

6. diagonal line because slope = 6 (for horizontal line, slope = 0; for vertical line, slope = infinity or no reference to y)

Answer 5

2. -7x + 3> 3x-6
-10x> -9 the multiply by -.1
x> .9

3. (3,-8)

4. (-2 + -8)/2 = -5
(7+ -5)/2 = 1
(-5,1) is the answer

5. I can't tell if you are saying those are the values for x if so:

X = -2 y=-14
x=-1 y= -9 5 (-1) - 4 = -5-4=-9
x=0 y= -4 (5x0)-4
x=1 y=1 (5x1)-4= 5-4=1
x=2 y=6 (5x2) -4=10-4 =6

6. diagonal plot (0,-5) and (5/6,0) and that's the line.

Answer 6

2) x + 4 – 8x – 1 > 3(x – 2)
3- 7x > 3x- 6
9 > 10x
x < 9/10

3) (3, -8)

4) eqn. for mid point:
on the X: -2 & -8 mid=-5
on the Y: 7 & -5 mid=1
(-5, 1)

5) don't get what you're asking in this question.

6) diagonal...if you plot a few points you can draw the graph & see.

Hope you & your daughter actually understand & don't just accept what I've written as correct!

Answer 7

2. x ‹ (9/4)

3. (3, -8)

4. (-5, 1)

5.
-2 -14
-1 -9
0 -4
1 1
2 6

6. diagonal line

Answer 8

sorry can't help,but i am no good at math and could never understand why we had to learn algebra stupid schools