Question

write the word statement as an equation. use x as the variable. find all solutions from the set \\(\\{1, 3, 4, 7, 10\\}\\).

two more than twice a number is eight.

complete the corresponding equation underneath the word statement.

two more than twice a number is eight
\\(\square\\) = \\(\square\\)

Explanation:

Translate the word statement into an algebraic expression

Using the Translating Phrases knowledge point
"Two more than twice a number" translates to:

$$ 2x + 2 $$

Complete the corresponding equation

Using the Translating Phrases knowledge point
"Two more than twice a number is eight" translates to:

$$ 2x + 2 = 8 $$

The left box is \(2x + 2\) and the right box is \(8\).

Solve the equation for x

Using the Solving Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Check the solution against the given set

Using the Solving Linear Equations knowledge point
The solution \(x = 3\) is in the set \(\{1, 3, 4, 7, 10\}\).

Answer:

Question 1

Complete the corresponding equation underneath the word statement.

Two more than twice a number is eight
<blank>\(2x + 2\)</blank> \(=\) <blank>\(8\)</blank>

Question 2

Find all solutions from the set \(\{1, 3, 4, 7, 10\}\).

The solution is <blank>\(3\)</blank>.