Question

1. in a trivia game, jada scored 2 less points than bard. bard scored 7 more points than andre, and andre scored half as many points as noah. if noah scored 8 points, how many points did jada score? explain your thinking.

1. kiran sold 3 times as many magazine subscriptions as elena. shawn sold 4 less subscriptions than elena. kiran, shawn, and elena sold a total of 51 magazine subscriptions. define a variable, and write and solve an equation to determine how many magazine subscriptions elena sold. show your thinking.

1. in july, mai read half as many books as she read in june. in august she read 2 more books than she read in june. in june, july, and august mai read 17 books in all.

a define a variable, and write and solve an equation to determine how many books mai read in june.
b how many books did mai read in july? how many books did she read in august?

1. the sum of two consecutive odd numbers is 40. what is the smallest number?

Explanation:

Problem 5

Step1: Find Andre's points

Andre scored half of Noah's points. Noah scored 8 points, so:
$\text{Andre's points} = \frac{8}{2} = 4$

Step2: Find Bard's points

Bard scored 7 more than Andre:
$\text{Bard's points} = 4 + 7 = 11$

Step3: Find Jada's points

Jada scored 2 less than Bard:
$\text{Jada's points} = 11 - 2 = 9$

Step1: Define variable

Let $x$ = number of subscriptions Elena sold.

Step2: Define others' subscriptions

Kiran sold $3x$, Shawn sold $x-4$.

Step3: Write total equation

Sum of all subscriptions is 51:
$x + 3x + (x-4) = 51$

Step4: Simplify and solve

Combine like terms:
$5x - 4 = 51$
Add 4 to both sides:
$5x = 55$
Divide by 5:
$x = \frac{55}{5} = 11$

Step1: Define variable

Let $x$ = number of books Mai read in June.

Step2: Define others' books

July: $\frac{x}{2}$, August: $x+2$.

Step3: Write total equation

Total books read is 17:
$x + \frac{x}{2} + (x+2) = 17$

Step4: Simplify and solve

Combine like terms:
$\frac{5x}{2} + 2 = 17$
Subtract 2:
$\frac{5x}{2} = 15$
Multiply by 2:
$5x = 30$
Divide by 5:
$x = 6$

Answer:

9 points

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Problem 6