Question

1. rebecca must complete 15 hours of volunteer work. she does 3 hours each day. write a linear equation in slope - intercept form to represent the hours rebecca still has to work after x days.
2. for the graph of the equation you wrote in item 1, what does the y - intercept represent?

a hours completed each day
b hours still to complete
c total hours of volunteer work
d days it takes to complete 15 hours

1. what is the x - intercept for function f?

$f(x)=-\frac{2}{3}x + 8$

1. she strings together x green at $0.75 each with 3 blue at $0.30 each. she makes a set that averages $0.60. choose an equation to model the situation.

$0.90 = 0.50(x - 3)$
$0.90 = 0.60(x - 3)$
$0.90 = 0.60(x + 3)$
$0.90 = 0.50(x + 3)$

1. darren and his two siblings ages are three consecutive odd numbers. if the sum of their ages is 51, what are the three ages?
2. melissa buys $2\frac{1}{2}$ pounds of salmon and $1\frac{1}{4}$ pounds of trout. she pays a total of $131.25$, and the trout costs $0.20$ per pound less than the salmon. what would be the combined cost of 1 pound of salmon and 1 pound of trout?

a $15.60$
b $15.80$
c $16.60$
d $16.80$

1. terrell arranges x roses at $3.50$ each with 10 carnations at $2.25$ each. he makes a bouquet of flowers that averages $3.00$ per flower. select the equation that models the situation.

a $3.50x + 2.25(10)=3(x + 10)$
b $3.50x + 2.25 = 0.75x$
c $3.50x + 3 = 22.5(x + 10)$
d $3.50x + 2.50 = 0.75(x + 10)$

1. find the value of x in the equation.

$|2x - 3|-11 = 0$
$x = $ or

Explanation:

Step1: Isolate the absolute value expression

Add \(11\) to both sides of the equation \(|2x - 3|-11 = 0\).

$$
LATEXBLOCK0
$$

Step2: Solve for \(x\) when the expression inside the absolute value is positive

Set \(2x-3 = 11\).
Add \(3\) to both sides: \(2x-3 + 3=11 + 3\), so \(2x=14\).
Divide both sides by \(2\): \(x=\frac{14}{2}=7\).

Step3: Solve for \(x\) when the expression inside the absolute value is negative

Set \(2x - 3=-11\).
Add \(3\) to both sides: \(2x-3+3=-11 + 3\), so \(2x=-8\).
Divide both sides by \(2\): \(x=\frac{-8}{2}=-4\).

Answer:

\(-4\) or \(7\)