Question

determine whether the given value is a solution for the equation. answer yes or no.

1. $\frac{x}{5} = 10, x = 50$ 2. $x - 16 = 14, x = 2$ 3. $8x = 48, x = 6$

1. there are 12 trees on the smiths’ property. the smiths plant some trees, and now there are 21 trees. how many trees $t$ do the smiths plant? write an equation to find the number of trees that are planted.

1. lizzie goes to the lakeside mall with friends. she spends $25 and returns home with $45. how much money $d$ in dollars does lizzie start with? write an equation to find the amount of money lizzie starts with.

1. a test is 45 minutes long. there are 3 sections of the test that each take an equal amount of time. how many minutes $m$ is each section of the test? write an equation to find the number of minutes for each section.

1. mike bakes 24 cookies for some friends. he gives the same number of cookies to 2 friends. how many cookies $c$ does each friend receive? write an equation to find the number of cookies each friend receives.

Explanation:

1.

Step1: Substitute \( x = 50 \) into \( \frac{x}{5} \)

\( \frac{50}{5}=10 \)

Step2: Compare with RHS

RHS is \( 10 \), so \( 10 = 10 \)

Step1: Substitute \( x = 2 \) into \( x - 16 \)

\( 2-16=-14 \)

Step2: Compare with RHS

RHS is \( 14 \), \( -14
eq14 \)

Step1: Substitute \( x = 6 \) into \( 8x \)

\( 8\times6 = 48 \)

Step2: Compare with RHS

RHS is \( 48 \), so \( 48 = 48 \)

Answer:

yes

2.