Algebra B 9-Week Common Assessment Review -- Show All Your

8/14/2019 Algebra B 9-Week Common Assessment Review -- Show All Your

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Algebra B 9-week Common Assessment Review -- Show All Your Work for full credit!

Evaluate the following expression when a = -2, b = 6 and c = - 41. ac(a + b) 2. a23b + 2c 3. b2c(ac )

Solve the equations:

4. 5.3

8 105

x 6.2 3

75

x

7. Write in slope-intercept form the equation of a line having slope 3 andy-intercept 3.

8. Write in slope-intercept form the equation of the line passing through the point (3,2), and parallel to the liney = 2x - 1.

9. Find the slope of the line through the points (4, 7) and (6, 2).

10. Write the standard form of the equation of the line with slope 2 passing through the point (3, 7).

11. A large factory knows that if it sells its new gadgets for $10 each, it can sell 350 per month, and if it sellsthe same gadgets for $8, it will sell 500 per month. Assuming the relationship between price and sales is linear,predict the monthly sales of gadgets to the nearest whole number if the price is $6.

12. Find an equation of a line that passes through the point (-4,3) and perpendicular to the line4

75

y x .

3 5 26x


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13. Write an equation of the graph in slope-intercept form.

14. Choose the correct graph of the linear equation.

[A] [B] [C] [D]

15. Graph the linear equation by finding x- and y-intercepts.

[A] [B] [C] D]

Solve and graph the following inequalities.

16. 17. 3x


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22. Write the inequality illustrated by the graph below.

23. If a table of values is linear which of the following is true?a. It is linear because the inputs increase in the same amount.b. It is linear because the outputs increase in the same amount.c. It is linear because the each point is higher than the nextd. It is linear because the slope is the same between any two points.

24. Determine whether the tables represent a linear relationship.

a.

X -4 -1 5 10

Y 12 8 -4 -8

b.

X -4 2 6 14

Y 1 4 6 10

25 .Determine whether the following functions represent a linear function:

a. f(x) = 2x2 + 3x6 b. f(x) = 2|x| - 7 c. f(x) = 2x + 7

27. The graph of y = 3x5 is shown below. 28. The graph of y = - 2x + 4 is shown below.

What happens to the yintercept if What happens to the yintercept if

7 is added to the equation? 3 is subtracted to the equation?

a) Shifts right 7 a) Shifts right 3b) Shifts up 7 b) Shifts up 3c) Shifts left 7 c) Shifts left 3d) Shifts down 7 d) Shifts down 3e) none of the above e) none of the above

4 3 2 1 0 1 2 x


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Solve the absolute value equations:

29. | x + 6 | = 7 30. | 2x3 | = 4

31. Describe the correlation in the scatter plot:

32. Determine the rate of change for:

a. 5x2y = 8 b. 4x + 9y = 17

33. Which expression represents the number pattern below:

a. -3, -2, 0, 4, 12, . . . b. 5, 7, 11, 19, 35, . . .

Next = Now + 8 Next = Now + 2Next = 2Now + 4 Next = 2Now 2Next = 2Now + 8 Next = 2Now + 3Next = 4Now 2 Next = 2Now 3

34. Write an expression to represent the output of the nth term.

Term Number 1 2 3 4 5 6 n

Term 4 2 0 -2 -4 -6


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[1] 4

[2] -22

[3]

-146

[4] 7

[5] 30

[6] 16

[7] y=3x+3

[8] y = 2x8

[9]

[10] 2xy = -1

[11] $650

[12] y = -(5/4)x8

[13] y = (7/2)x7

[14] D

[15] B

[16] x > 1

[17] x > 4

[18] x > -1/2

[19] x <

[20] -8 < x < 0

[21] -3 < x < 1

1

2


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[22] x > -2

[23] D

[24] a. No

b. Yes, m =

[25] a. No, x squared termb. No, absolute valuec. Yes, y = mx + b

[26] B

[27] D

[28] x = 1 or x = -13

[29] x = 7/2 or x = -1/2

[30] No correlation

[31] a. m = 5/2b. m = -4/9

[32] a. Next = 2*Now + 4b. Next = 2*Now3

[33] y = -2x + 6-2n + 6

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Algebra B 9-Week Common Assessment Review -- Show All Your