Mr. BoroskyAlgebra 2 Review #2 Chapters 1-3 Name: ______

  1. Evaluate -25
A) -16 C) -32
B) 32 D) 1/32 /
  1. 4p2 – 12p – 9p2 + 3(4p + 7)

  1. Evaluate when x = 7 and y = 3.
3(x2 – y2) + 5(x – y)2 A) 2
(x + y)2 B) 4
C) ½
D) ¼
  1. Simplify (⅓ * 3)[p + (-1)] + 1 A) p + 1
B) p - 1
C) 3p + 1
D) p

Solve.

  1. 10(w – 4) = 4(w + 4) + 4w
A)27
B)28
C)-12
D)6 /
  1. Solve for y
y – 2xy = 15
  1. Write an equation for the diagram and then SOLVE for x.

x x x x
18 Total
/
  1. Solve and GRAPH
–5 < x + 1 < 4
A) –4 < x < 3
B) –6 < x < 3
C) –6 < x OR x < 3
D) –6 > x AND x < 3
  1. Solve and GRAPH
2x – 3 ≤ -4 OR 3x + 1 ≥ 4
A) x ≤ ½ OR x ≥ 1
B) x ≥ -½ OR x ≥ 1
C) x ≤ -7/2 OR x ≥ -1
D) x ≤ -½ OR x ≥ 1 /
  1. Solve and GRAPH
| x – 2 | < 7
A) x < -5 AND x < 9
B) x < 9 AND x < -5
C) –5 < x < 9
D) –5 < x OR x < 9
  1. Solve and GRAPH
| x + 24 | = -7x
A) x = -3
B) x = 4
C) x = -3 OR x = 4
D) x = -3 AND x = 4
  1. Tell whether the relation is a function.
A)
Input Output
-2
0 1
2 3
4 5
B) (3,2), (6,2), (-3,1), (-6,1)
C) (3,0), (4,1), (3,6), (4,3) /
  1. Evaluate the function when x = -1

A) f(x) = 5x +8 B) g(x) = x2 –x +3
  1. What is the slope of the line passing through (-2 , 3) and (1,-1). Is it Rising, Falling,
Vertical, or Horizontal?
A) –4/3
B) –3/4
C) 3/4
D) 4/3 /
  1. Graph using Slope Intercept Form. 2y = 3x + 6


  1. Write an equation of the line that passes through the points (4,-1) and (6,-7).
A) y = 3x - 11
B) y = -⅓x + 11
C) y = -3x + 11
D) y = -⅓x + ⅓ /
  1. Write an equation of the line that passes through (-2,3) and is PERPENDICULAR to y = -4x + 1
A) y = ¼x - 3½
B) y = ¼x + 3½
C) y = 4x + 5
D) y = -4x - 5
  1. Write an equation of the line in STANDARD FORM that has a slope m = ¾ and y-Intercept b = -2.
A) y = ¾x - 2
B) y = ¾x + 2
C) -¾x + y = -2
D) –3x + 4y = -8 /
  1. “x” and “y” vary directly.
If x = 35, when y = -7.
Find y if x = 12.
  1. Is the following a direct variation.
y + 2 = 2x + 2 /
  1. What type of correlation is shown
.
. .
. .
. ..
.. .

  1. Graph -8y - 4x ≤ -16

/
  1. A) Draw a Scatter Plot
B) Write an Equation for the
Best Fitting Line
C) Estimate the value when
x = 20
x_ |_y_
2 | 20
4 | 17
6 | 12
8 | 7
10 | 4

Show All Work.

  1. How many solutions are there?
y = 3x – 4 | 2y = 6x – 8
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  1. How many solutions are there?
y = ¼x + 1 | y = -¼x - 2
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  1. Solve using the ELIMINATION (Linear Combination) Method.
2x – 3y = 8
4x + 6y = 8 /
  1. Solve Using Either Method.
4x + 2y = 6
8x + 4y = 12
  1. Graph the 2 equations and Find the Point of Intersection.
USE GRAPH PAPER
y = ¾x - 3 | y = ⅜x
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  1. Graph the 2 Inequalities.
USE GRAPH PAPER
y > -3 | x < 4
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  1. Graph the 2 Inequalities.
USE GRAPH PAPER
3y ≤ 2x – 6 | -2y + 2x ≥ -8
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  1. Solve using Either Method. If you sold 9 shirts for a total of $60 and the short sleeve shirts cost $5 each and the long sleeve cost $8 each, how many of each type of shirt did you sell?