linear equations in one variable multiple choice questions

/in /by

linear equations in one variable multiple choice questions

correctly answer and provide explanation for each multiple choice question.

Solve the equation.

fraction numerator x minus 4 over denominator 8 end fraction plus 1 fourth equals x space minus space fraction numerator 2 x space plus space 1 over denominator 2 end fraction space

a. x = -6

b. x = -2

c. x= 3/8

d. x = 3

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Which of the following equations has no solution?

a. 2x + 3(4 – x) = x + 8

b. -2(x – 4) + 3x = 6x – (3 + 5x)

c. 3x – 8 = 3(x + 2) – 14

d. 2x – 3(4 – x) = 2(x + 1) – 3(x – 8)

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Which of the following equations has infinite solutions?

a. 2(x + 3) = 4x + 7 – 2x

b. 3(x + 4) = 3x + 11 – 1

c. -2(x – 8) = -2x – 8

d. 6(x + 1) – 2 = 4(x + 3) + 2(x – 4)

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Which of the following equations is equivalent to the equation shown below?

fraction numerator p plus 1 over denominator 4 end fraction plus space fraction numerator 2 p over denominator 2 end fraction space equals space 1 over 8

a. 2p(p + 1) + 2p(p + 1) = 8

b. 2(p + 1) + 4(2p) = 1

c. 8(p + 1) + 8(2p) = 8(1)

d. 4(p + 1) + 2(2p) = 8(8)

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What is the LCD of the denominators in the equation shown below?

r over 15 minus space r over 5 space equals space 1 third

a. 3

b. 5

c. 15

d. 225

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Which of the following equations is equivalent to the equation below?

8(x – 4) – 2 = 6x – 3x + 1

a. 1 + 2(x – 2x) = 15

b. 2(x – 1) + 2x = x + 19

c. 3(x – 4) + 2x = 5(x + 6)

d. -2(x – 1) = 2x + 16

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Which of the following has a solution of x = 5.

a. 4x – 8 – 2x = -2

b. 8x + 2x – 10 = 5x – 35

c. 2 – 3(x + 4) = 2x + 15

d. 3x + 10 = 6x – 5

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Which of the following is a solution to the equation below?

x + 8 = 2x – 4

a. 12

b. -12

c. 4

d. -4

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Which of the following is a solution to the equation below?

3x – 18 = 24

a. 2

b. 14

c. 18

d. 126

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Which of the following shows the addition property of equality?

a. 4 ÷ 6 = (2 + 2) ÷ 6

b. 4x = 4 • 2

c. 2x + 8 = 8 + 8

d. 2(18 – 4) = 2(14)