22-23 ALG EOC Final Day Review

Final Day Review - ALG I EOC

​Let's review and practice before tomorrow.

Please take notes and try your best on the practice problems! Yes, it is a grade.

​Solve by factoring:

Multiple Choice

Solve by factoring:

$$7c^2-2c-9$$

• c = $$-\frac{9}{7}$$ , 1

• c = $$-\frac{9}{2}$$ , 7

• c = $$\frac{9}{2}$$ , 7

• c = $$\frac{9}{7}$$ , -1

​What are the solution(s)?

Multiple Choice

What are the solution(s)?

3x + 5y = -18

4x - 10y = -24

• no solution

• infinitely many solutions

• (-6,0)

• (0, 6)

​Parallel, perpendicular, neither

Multiple Choice

These lines are __________________.

y = 4x + 5

-4x + y = -13

• parallel

• perpendicular

• neither

​Write an equation that passes through the given point and is perpendicular to the given line.

​(0, -5); x - 6y = -2

​Now write an equation that is parallel to the given line and goes through the given point.

​(-3, 4); y = 2

Multiple Choice

Write an equation for a line that is perpendicular to the given line and passes through the given point.

(4, -5); 2x + 2y = 6

• y = -x - 9

• y = x - 9

• neither

​Key features of quadratic graphs

​1. Axis of symmetry, x = -b/2a; This is the x-value of the vertex. To find the y-value of the vertex, plug in this number for x into the function to solve for y.

2. Solution(s): x-intercepts (where y = 0), roots, zeroes

3. vertex - coordinate point that is the max or min of the function.

4. domain - the possible x-values for the function

5. range - the possible y-values for the function

6. end behavior - for left side, x → - ∞, what is the y → ∞ (increasing) or -∞ (decreasing). DO the same this for the right side where x → ∞.

7. increasing sections, decreasing sections - Write inequality using x. Ex. 0<x<4 -- Never use ≤, ≥

Multiple Choice

What is the solution to the function in the graph?

• 8

• 1000

• no solution

Multiple Choice

What is the domain of the function in set notation?

• {y I 1000}

• {x I $$0\le x\le8$$ }

• { x I x is all real numbers}

• { y I y is all real numbers}

​Transformations

Multiple Choice

Which equation represents this graph?

• $$y\ =\ \left|x\ +\ 2\right|$$

• $$y\ =\ \left|x\right|\ +\ 2$$

• $$y\ =\ -\left|x\ +\ 2\right|$$

• $$y\ =\ -\left|x\right|\ +\ 2$$