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.