Question

wednesday nights

1. anika buys 5 notebooks that contain 60 pages each. select all the equations that represent the total number of pages, p

a. $p = 60 + 5$ b. $5 + 60 = p$ c. $p = 5 \cdot 60$
d. $p \div 5 = 60$ e. $5p = 60$
problems 2–3: here is an equation $\frac{1}{2} + x = 4$

1. write a situation that the equation could represent
2. describe the meaning of the x in your situation

problems 4–5: a plant in zahra’s garden grows 0.8 inches taller each week. after x weeks, the plant has grown 6 inches

1. write an equation that could represent this situation
2. describe the meaning of the x in the situation
3. use the numbers 0 to 9 to complete each equation so that the value of x is the same. use each number only once

$\square x = \square$ $x + \square = \square$ $x - \square = \square$

1. select all the equations that have a solution of $c = 1.5$

a. $6c = 41.5$ b. $150 \div c = 100$ c. $13.5 - c = 10$
d. $6c = 9$ e. $0.2c = 0.3$

Explanation:

1. Total pages = number of notebooks × pages per notebook, so \( p = 5×60 \).
2. Created a scenario matching \( \frac{1}{2} + x = 4 \).
3. Defined \( x \) as the variable in the scenario.
4. Growth per week × weeks = total growth: \( 0.8x = 6 \).
5. \( x \) represents the time (weeks) of growth.
6. Chose \( x=3 \), filled boxes with unique numbers 0-9.
7. Checked each equation: B (\( c=1.5 \)), D (\( c=1.5 \)), E (\( c=1.5 \)).

Answer:

1. C. \( p = 5 \cdot 60 \)
2. Example: A baker has \( \frac{1}{2} \) of a cake left and bakes \( x \) more whole cakes, totaling 4 cakes.
3. \( x \) is the number of additional whole cakes baked.
4. \( 0.8x = 6 \)
5. \( x \) is the number of weeks the plant grew.
6. Example: \( 2x = 6 \), \( x + 1 = 4 \), \( x - 0 = 3 \) (with \( x = 3 \), using numbers 0,1,2,4,6)
7. B. \( 150 \div c = 100 \), D. \( 6c = 9 \), E. \( 0.2c = 0.3 \)