Linear Equations I - Challenging

Question 1: Solve:

2 a - 1 = \sqrt{2} a + 3

A

a = 4 + 2 \sqrt{2}

B

a = 6 \sqrt{2}

C

a = \sqrt{2}

D

a = 1 + \sqrt{2}

Question 2: Solve:

3 (x - 1) = - \sqrt{5} (x - \sqrt{5})

A

x = - 2 \sqrt{5}

B

x = 2 + \sqrt{5}

C

x = - 3 - \sqrt{5}

D

x = 6 - 2 \sqrt{5}

Question 3: Solve the equation:

(x - 4) (x + 2) - {(x + 1)}^{2} + x = 0

A

x = - 4

B

x = - 3

C

x = 5

D

x = 2

Question 4: Solve the equation:

{(x + 5)}^{2} = x^{2} - 5

A

x = - 3

B

x = 2

C

x = - 10

D

x = 10

Question 5: Solve the equation:

\frac{1}{2} x + \frac{3}{4} = \frac{2}{3} x - 1

A

x = 12

B

x = 10.5

C

x = 8

D

x = 3.5

Question 6: Solve:

| 3 x | = 1

A

x = \frac{1}{3}

B

x = - \frac{1}{3}

C

x = \frac{1}{3}

or

x = - \frac{1}{3}

D

No answer

Question 7: Solve:

\frac{1 + 2 a}{3} - \frac{2 - a}{2} = - 1

A

a = 0

B

a = - 1

C

a = 1

D

a = - \frac{2}{7}

Question 8: Solve:

2 m + 3 = 5 + \sqrt{2} m

A

m = \sqrt{2}

B

x = - 2 + \sqrt{2}

C

m = 2

D

m = 2 + \sqrt{2}

Question 9: Solve:

{(2 x - 1)}^{2} - (2 x + 3) (2 x - 3) = 0

A

x = 1 \frac{1}{2}

B

x = 2 \frac{1}{2}

C

x = - 2

D

x = 0

Question 10: Solve:

\sqrt{3 - \frac{a + 5}{2 a + 4}} = 4

A

a = - 1 \frac{13}{25}

B

a = - 2 \frac{1}{9}

C

a = - 2 \frac{2}{27}

D

a = - 1 \frac{22}{25}

Test: Linear Equations I - Challenging

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