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Horace Mann Middle School > Grade 8 > Ms. Ridley

Algebra Final

Welcome

Algebra Exit Test Review

1. straight line with a negative slope going through (-2, 14). (-1, 10), (0, 6) (1, 2) (2, -2)
2. y = 2/3x + 2
3. a. slope is 3 b. the y-intercept is 4
4. a. slope is –2/5 b. y-intecept is 9/5
5. 0
6. undefined
7. y = -2x (example)…any equation that has –2x as the slope
8. c
9. a. y = 2x – 8 b. y-intercept is –8 c. x-intercept is 4 d. (6, 4) would be an example. Any value when x is greater than 4 is in the 1st quadrant.
10. T = $.50 + $.25(c – 1)

Solve:
1. R = (S + 9)/2
2. (–7 +/- square root of 57) / 2
3. x = 13/3
4. if you read this as –2x + 4 < 8 than x > -2; if you read this as –2x + 4 >8 than x < -2


Solving Systems of Equations:
1. x = 3 and y = 0

Absolute Value
1. |x + 3| > 7 would be 4< x < -10 . On a number line, it would be a straight line going between -10 and 4 with open circles on either end.

Polynomials:
1. x2 – x –30
2. –a2b – 2b – 6
3. 4x –3yz

Factoring:
1. (x + 7) (x – 7)
2. (x – 5) (x – 2)

Misc:
1. No, this is not true. For example, if x = -3 and y = 4 , |-3 + 4| is not equal to |-3| + |4|


Functions:
1a. No, it is not a function because for every x, there is not one and only one value of y. For example, when x = 5, y is either –2 or –3.
1b. domain is {2, 5, 9, -4}
1c. range is {4, -2, -3, 5}

Exponents:
1. –6x7
2. 32a20
3. 7

Exponential Relationships:
1. B = 400 (1.1) 7
2. B = 1000 (3)10



Algebra Final Exam Study Guide Answer Key
Evaluate Expressions:
1. 11
2. 42

Identify roles of variables:
1. slope is –3
2. y intercept is 2
3. decay factor 0.4
4. initial value is 5
5. parabola has a vertex of (.3, -6.55), it opens downward and the axis of symmetry is x = .3

Calculate the slope of a line:
1. y = 11x – 15
2. y = 11x (example)….any equation that has 11 as the slope

Identify lines:
1. a line with slope of zero is in the format of y = . An example, y = 2
2. a line with an undefined slope is in the format of x = . An example, x = 2

Solve Equations
1. n = 9 2. p = 3 3. w = 4
4. m = -26 5. n = 20

Simplify Expressions:
1. 6a3b7
2. m2
3. –4a2 – 3a + 18
4. –2c2 – 6

Simplify Radical Expressions:
1. square roots: 8 ¾ -10
2. est square roots: between 3 and 4 between 10 and 11 between 8 and 9
3. leave in radical: 2&#8730;15 not true (example &#8730;7 + &#8730;9 = &#8730;16 5&#8730;3

Solve Systems:
1. x = 15 and y = -10

Solve and Graph Inequalities:
1. x &#8804; -4 graph on a number line is a closed circle over –4; the arrow is extending to the left.
2. –22< x < 8 graph on a number line is open circles over 8 and –22 connected by a line.

Stem and Leaf:
1. mean is 60.35
2. median is 59
3. mode is 52 and 79
4. range is from 41 to 79 with a value of 38

Probability:
1. ¼

Expand Binomials:
1. x2 + x -6

Factor Quadratic Functions:
1. (2x + 3) (x – 5)


20101  
Updated: June 5, 2007  



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