Algebra - 5.11 Unit Test: Radical and Rational Expressions

Which statement best reflects the solution(s) of the equation? x/x−1 − 1/x−2 = 2x−5/x2−3x+2

There is only one solution: x = 3. The solution x = 2 is an extraneous solution.

Which statement best reflects the solution(s) of the equation? √3x+1 −x+3=0

There is only one solution: x = 8. The solution x = 1 is an extraneous solution.

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Simplify. x2/x−1/3x2/x+4

x + 4/3x - 3

Which domain restrictions apply to this rational expression? x2+x+6x/2+2x−3

x does not equal 1, -3

Add. −x−2/9x2−1 + −5x+4/9x2−1

−2/3x+1

Simplify. x2+4x+3/2x−1/x2+x/2x2−3x+1

(x+3)(x−1)/x

Solve for x. 3/x−1 − 1/x2−1 = 5/x−1

-3/2

Subtract. x2−5x+2/x2+4x+3 − x2−7x−4/x2+4x+3

2/x+1

Add. x+2/3x + x+5/2x2+10x

2x+7/6x

Solve for x. √x+5 =√x +1

4

Multiply. 2(x+3)/x(x−1) ⋅ 4x(x+2)/10(x+3)

4x + 8/5x - 5

Andy sells homemade loaves of bread. He offers a discount to customers who purchase more than one loaf. The expression below represents the average cost per loaf. 4+(x−1)/x Drag and drop the expressions into the boxes to identify their meaning.

Number of discounted loaves: (x - 1), Total cost: 4 + (x - 1), Total number of loaves: x