HW-2188 MA240 Algebra Exam

Solve the following radical equation:

√(x-3) + 5 = x

•
A. {2}
•
B. {5}
•
C. {9}
•
D. {7}


Solve:
5

y + 4 + 11

y2 + y - 12 = 7

y - 3

•
A. 16
•
B. -16
•
C. 2
•
D. -2

Solve the following quadratic equation:

(x + 3)2 + 25 = 0

•
A. {-4 - 6i, -1 + 4i}
•
B. {-4 - 6i, -2 + 5i}
•
C. {-3 - 5i, -3 + 5i}
•
D. {-6 - 5i, -2 + 4i}



Solve the following linear equation:

7(x - 2) = 4(x + 1) - 21

•
A. x = 0
•
B. x = -1
•
C. x = -3
•
D. x = 3


The graph of an equation in two variables is:

•
A. one method for graphing such equations.
•
B. a solution of an equation in two variables.
•
C. the set of all points whose coordinates satisfy the equation.
•
D. are ordered pairs of real numbers which denote distance and direction along the x axis



Solve the system of linear inequalities by graphing.

3x + 4y ≤ 12
x ≥ 3

•
A.
•
B.
•
C.
•
D.


Solve. Write the solution in interval notation.

|x + 4| ≤ 6

•
A. (–∞, –10) ∪ (2, ∞)
•
B. (–∞, –10] ∪ [2, ∞)
•
C. (–10, 2)
•
D. [–10, 2]



Solve the following equation involving absolute value:

-3│4x - 7│+ 15 = 0

•
A. {2/3, 3}
•
B. {1/4, 6}
•
C. {1/2, 3}
•
D. {1/5, 3}



Choose the graph of the interval (–3, ∞) on a real number line.

•
A.
•
B.
•
C.
•
D.


Solve the following equation that has two radicals:

√x+4 + √x-1 = 5

•
A. {4}
•
B. {6}
•
C. {1}
•
D. {3}






Solve the following linear equation:

-10 - 3(2x + 1) - 8x - 1 = 0

•
A. x = -2
•
B. x = 4
•
C. x = -1
•
D. x = -2





The y coordinate of a point where a graph crosses the y axis is called a/an:

•
A. 1st quadrant.
•
B. X axis.
•
C. Y intercept.
•
D. X intercept.





Which statement is FALSE?

•
A. d ∉ {a, b, c}
•
B. Ø ∈ {a, b, c}
•
C. Ø ⊂ {a, b, c}
•
D. a ∈ {a, b, c}




Solve the following quadratic equation:

6x2 + 3x - 30 = 0

•
A. {1/2,2}
•
B. {1/2,7/5}
•
C. {3,-5/2}
•
D. {-1/3,5}




In the rectangular coordinate system, the point of intersection of the horizontal axis and vertical axis is called which of the following?

•
A. Point plotting
•
B. Quadrants
•
C. Viewing window
•
D. Origin



Solve the following quadratic equation:

(3x - 1)2 = 75

•
A.
{1-5√3}

3 , {1+5√3}

3
•
B.
{1-6√3}

2 , {1+6√3}

2
•
C.
{1-4√7}

4 , {1+2√3}

4
•
D.
{1-3√2}

3 , {1+3√2}

3





Solve the system of linear inequalities by graphing.

3x + 4y ≤ 12
x + 3y ≤ 6
x ≥ 0
y ≥ 0

•
A.
•
B.
•
C.
•
D.





Solve the following quadratic equation:

2x2 + 5x - 3 = 0

•
A. {-1/2,2}
•
B. {1/2,3}
•
C. {2,4}
•
D. {-1/3,5}





Solve the following linear inequality:

-3 ≤ 2x + 5

3 < 6

•
A. [-7, 13/2)
•
B. [-12, 7/2)
•
C. [-3, 8/3)
•
D. [3, 6/5)





Solve the system of linear inequalities by graphing.

x – 2y ≥ 4
x ≤ 4

•
A.
•
B.
•
C.
•
D.


ANSWER WILL BE SENT ON EMAIL.