When $x = 3$ , which is larger: the value of $4 x + 1$ or the value of $2 x + 7$ ?

Class 6AlgebraAlgebra

A $4 x + 1$ is larger
B $2 x + 7$ is larger
CThey are equal
DIt cannot be decided without more information

Step-by-Step Solution

Substitute

x = 3

into both:

4 \times 3 + 1 = 13

and

2 \times 3 + 7 = 13

. They come out equal at this value. Two different-looking expressions can agree at one particular value even though they are not the same expression — try

x = 4

and the values part company.

Answer: C) They are equal

Key idea: From expressions to equations

Add an equals sign and you have an **equation** — a question. 'For what value of

x

does

2 x + 3

equal 13?' is written

2 x + 3 = 13

. The **solution** is the value that makes the two sides equal. Here,

x = 5

works, because

2 \times 5 + 3 = 13

. For Class 6, the simplest method is **trial-and-improvement** — try whole numbers until you find one that works. Faster algebraic methods come in Class 7.

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When x=3, which is larger: the value of 4x+1 or the value of 2x+7?

Step-by-Step Solution

Key idea: From expressions to equations

Master this chapter in 30 minutes a day.

More Class 6 Algebra practice

When $x = 3$ , which is larger: the value of $4 x + 1$ or the value of $2 x + 7$ ?