Is 7 a factor of 55u + 50? Choices: (A)yes (B)no

Factor out common factor: Simplify the expression by factoring out the common factor of 5. 55u + 50 = 5(11u + 10) Check for factor 7: Check if 7 is a factor of the simplified expression 11u + 10. To be a factor, 11u + 10 must be divisible by 7. Substitute u=1: Check divisibility by substituting a value for u, say u = 1. 11(1) + 10 = 21, which is divisible by 7. Verify u=0: Verify with another value for u, say u = 0. 11(0) + 10 = 10, which is not divisible by 7.

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Is $7$ a factor of $55u + 50$ ? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Math Problems

Grade 8

Factors of linear expressions

Full solution

Q. Is

7

a factor of

55u + 50

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Factor out common factor: Simplify the expression by factoring out the common factor of $5$ . $\newline$ $55u + 50 = 5(11u + 10)$
Check for factor $7$ : Check if $7$ is a factor of the simplified expression $11u + 10$ . To be a factor, $11u + 10$ must be divisible by $7$ .
Substitute $u=1$ : Check divisibility by substituting a value for $u$ , say $u = 1$ . $11(1) + 10 = 21$ , which is divisible by $7$ .
Verify $u=0$ : Verify with another value for $u$ , say $u = 0$ . $11(0) + 10 = 10$ , which is not divisible by $7$ .