Question

1.2 writing equations worksheet
translate each sentence into an equation or formula.

1. two added to three times a number m is the same as 18.
2. twice a increased by the cube of a equals b.
3. seven less than the sum of p and q is as much as six.
4. the sum of x and its square is equal to y times z.
5. four times the sum of f and g is identical to six times g.
6. the perimeter p of a square equals four times the length of a side s.
7. the area a of a square is the length of a side s squared.
8. the perimeter p of a triangle is equal to the sum of the lengths of sides a, b, and c.
9. the area a of a circle is π times the radius r squared.
10. ( g^2 + 10 = 3g ) (translate each equation into a verbal sentence.)
11. ( 4(a + b) = 9a ) (translate each equation into a verbal sentence.)

Explanation:

Let's solve the problem of translating the equation \( g^2 + 10 = 3g \) into a verbal sentence.

Step 1: Analyze the left - hand side of the equation

The left - hand side of the equation is \( g^2+10 \). The term \( g^2 \) is "the square of \( g \)" and then we add 10 to it. So we can say "the square of \( g \) plus ten".

Step 2: Analyze the right - hand side of the equation

The right - hand side of the equation is \( 3g \), which means "three times \( g \)".

Step 3: Combine the two sides with the equality relation

The equal sign "=" means "is equal to". So we combine the two parts.

Answer:

The square of \( g \) plus ten is equal to three times \( g \).