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Linear and Quadratic Equations · Question 1 of 66

Question 1

EasyOriginal question

What value of xx satisfies 5x−7=3x+95x - 7 = 3x + 9?

Options for question 1

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Collect the xx terms on the left and the numbers on the right: 5x−3x=9+75x - 3x = 9 + 7.

  2. So 2x=162x = 16, which gives x=8x = 8.

  3. Check: 5(8)−7=335(8) - 7 = 33 and 3(8)+9=333(8) + 9 = 33.

Worth noting

16 comes from stopping at 2x=162x = 16; 2 comes from adding 3x3x instead of subtracting it; 1 comes from writing 9−79 - 7 instead of 9+79 + 7.

Concept
Solving a linear equation by moving terms across the equals sign
Typical time
40 s
Your time
—
The rule this testsLinear equations in one variable
Practise this chapter →

Ten questions from Linear and Quadratic Equations, at your own pace.

Practise this chapter →

Ten questions from Linear and Quadratic Equations, at your own pace.