Name: __________________________________________ Date: ________________ Period: _____ Fall 2015-2016 Final Exam REVIEW

1) What is the solution of k4= −16 ? 6) Simplify the expression: 3a+1+ (−4b)+ 9a−3b

2) What is the solution of y− 47 = −21? 7) What is the reciprocal of − 211

?

3) Simplify the expression: 8− (z+3) 8) If x = 7 , what is (x −8)2 ?

4) Evaluate: 9÷3•5− 4 9) Evaluate −12− (−29)

5) Simplify the expression: 7(3r + 4s− t) 10) What is the solution of 8x −8 = 6x + 5?

11) Solve the inequality: y−6

> 7 16) Which number is a possible solution of the inequality −5x −17 > 3− (8− x)? a) -4 b) 4 c) 2 d) -2

12) What is the solution of 6x − 5− 9x = 3x + 7? 17) Which inequality is represented by the graph?

a) x − 9 > 7 b) x − 5≥ −3 c) x + 7 ≤ 9 d) x − 7 > −5

13) What is the solution of the equation?35c+8 = −15

18) Which graph represents the solution of the inequality −14x ≥ −28?

a)

b)

c)

d)

14) What is the solution of 3(1− 2t) = 4(7+ t)?

15) What is the solution of the equation 4t −3(t − 2) = 2t + 5?

19) Write a compound inequality to represent this graph:

23) Solve the system of linear equations: −2x − 9y = −254x + 9y = 23

20) Solve 2x − 2− 4(x + 4)> 0 24) Solve the system of linear equations: −3x −8y = 20−5x + y =19

21) Solve the compound inquality: 11≤12x + 23< 47

25) Solve the system of linear equations: y = 6x −112x +3y = 7

22) Solve the system of equations: x + y = −43x − 2y = −7

26) Solve the system of linear equations: 5x + 4y = −143x + 6y = 6

27) Solve the system of linear equations: 5x + 4y = −303x − 9y = −18

30) Sketch the graph of 4x + 6y =12

28) Solve the system of linear equations: 2x +3y = −9−4x − 6y =18

31) Sketch the graph of y = − 4

5x +3

29) What are the coordinates of point B?

32) Sketch the graph of y = −4

33) Give the slope of the line below.

36) If 2 apples and 4 oranges cost $3 total, and 3 apples and 1 orange cost $1.50, how much does each apple cost? How much does each orange cost?

34) Which ordered pair is a solution of 4x − 5y = 3 a) (-1,2) b) (1,-2) c) (2,1) d) (-2,-1)

37) Which equation below represents a linear equation in point-slope form? a) Ax +By =C b) y =mx + b c) y− y1 =m(x − x1)

d) m =y2 − y1x2 − x1

35) What is the x-intercept of the equation 6x − 2y = 24 ?

38) Write an equation of the line with a slope of 5 that passes through (2,3).

39) Write an equation of the line that passes through (-3,5) and (1,1).

42) Sketch the graph of y = 2x − 2

40) What is the slope of the line that passes through (10,-6) and (12,5)?

43) Write the equation of a vertical line that passes through (7,2).

41) Write an equation of the line that has a slope

of − 32

and a y-intercept of (0,-6).

44) When solving a system of linear equations by graphing, how do you know there is no solution? And how do you know that there are infinitely many solutions?

45) Which system of linear equations is represented by the graph below?

a) x + y = 2y = −x + 6

b) y = 3x − 42x + 4y =12

c) y = x +1y = −2x + 4

d) y = −12x +3

x +3y = 2

46) Find the graph that represents the following system of equations:

5x +3y = 9x −3y = 9

a)

b)

c)

d)

47) Find the graph of 6x + 2y ≥ 8

a)

c)

b)

d)

48) Which system of linear inequalities is represented by this graph?

49) Find the graph of y < 12x + 2

a)

b)

c)

d)

50) Find the inequality that represents the graph below:

a) y < 3 b) y > 3 c) x < 3 d) x > 3