# Algebra Radical Equations

Solve the following radical equation:

√(x-3) + 5 = x

Question 1 options:
 {2} {5} {9} {7}

## Question 2 (5 points)

Solve the following absolute value inequality:

│3x + 2│ ≥ 3

Question 2 options:
 (-∞, -5/3] ∪ [1/3, ∞) (-∞, -6/7] ∪ [5/6, ∞) (-∞, -4/7] ∪ [1/2, ∞) (∞, -6/7] ∪ [1/3, ∞)

## Question 3 (5 points)

Solve the following linear equation:

-10 – 3(2x + 1) – 8x – 1 = 0

Question 3 options:
 x = -2 x = 4 x = -1 x = -2

## Question 4 (5 points)

Solve the system of linear inequalities by graphing.

x – 2y ≥ 4
x ≤ 4

Question 4 options:

## Question 5 (5 points)

Solve the system of linear inequalities by graphing.

3x + 4y ≤ 12
x ≥ 3

Question 5 options:

## Question 6 (5 points)

Solve the following linear inequality:

 -3 ≤ 2x + 53 < 6
Question 6 options:
 [-7, 13/2) [-12, 7/2) [-3, 8/3) [3, 6/5)

## Question 7 (5 points)

Solve the following equation quadratic in form:

x2/3 – 9x1/3 + 8 = 0

Question 7 options:
 {1, 219} {1, 328} {1, 129} {1, 512}

## Question 8 (5 points)

The graph of an equation in two variables is:

Question 8 options:
 one method for graphing such equations. a solution of an equation in two variables. the set of all points whose coordinates satisfy the equation. are ordered pairs of real numbers which denote distance and direction along the x axis.

## Question 9 (5 points)

Solve:

9x + 8 = 2x + 8

Question 9 options:
 –1 0 1 2

## Question 10 (5 points)

Solve the following quadratic equation:

2x2 + 5x – 3 = 0

Question 10 options:
 {-1/2,2} {1/2,3} {2,4} {-1/3,5}

## Question 11 (5 points)

Solve the system of linear inequalities by graphing.

3x + 4y ≤ 12
x + 3y ≤ 6
x ≥ 0
y ≥ 0

Question 11 options:

## Question 12 (5 points)

Solve the following linear equation:

7(x – 2) = 4(x + 1) – 21

Question 12 options:
 x = 0 x = -1 x = -3 x = 3

## Question 13 (5 points)

Solve:

 5y + 4 + 11y2 + y – 12 = 7y – 3
Question 13 options:
 16 -16 2 -2

## Question 14 (5 points)

Solve the following equation that has two radicals:

√x+4 + √x-1 = 5

Question 14 options:
 {4} {6} {5} {3}

## Question 15 (5 points)

Solve the following quadratic equation:

(3x – 1)2 = 75

Question 15 options:
 {1−53√}3,{1+53√}3  1 – 5 3 3 , 1 + 5 3 3 {1−63√}2,{1+63√}2  1 – 6 3 2 , 1 + 6 3 2 {1−47√}4,{1+23√}4  1 – 4 7 4 , 1 + 2 3 4 {1−32√}3,1+32√3  1 – 3 2 3 , 1 + 3 2 3

## Question 16 (5 points)

Solve the following quadratic equation:

6x2 + 3x – 30 = 0

Question 16 options:
 {1/2,2} {1/2,7/5} {3,-5/2} {-1/3,5}

## Question 17 (5 points)

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

Question 17 options:
 1st quadrant. X axis. Y intercept. X intercept.

## Question 18 (5 points)

Solve the following linear inequality:

x/6 + 1/8 ≤ x/2 – 3/4

Question 18 options:
 [21/8, ∞) [12/3, -∞) [4,-∞) (-∞, ∞)

## Question 19 (5 points)

Solve the following polynomial equation:

x3 – 4x2 – x + 4 = 0

Question 19 options:
 {2, 3, 4} {-1, 2, 5} {1, 1, 3} {-1, 1, 4}

## Question 20 (5 points)

Solve the system of linear inequalities by graphing.

x + 2y ≤ 3
2x – 3y ≤ 6

Question 20 options: