Question

week 3
algebra (35%)
sat.m.2
linear equations in two variables
student strategy: \equation builder\
translate words into equations step by step.
identify what each variable represents. after
solving, check by substituting your solution
back.
module 1: question 4
5b + 7d = 42
the given equation describes the relationship between the
number of hamburgers, b, and the number of hotdogs, d,
that can be cooked on a grill at the same time. if a grill is
cooking 7 hamburgers, what is the maximum number of
hotdogs that can be added to the grill for cooking?
a) 0
b) 1
c) 3
d) 5
module 1: question 15
$s = \frac{r}{4t + 1} + 2$
the given equation relates the distinct positive numbers r,
s, and t. which equation correctly expresses $4t + 1$ in terms
of r and s, where $s \
eq 2$?
a) $4t + 1 = \frac{s - 2}{r}$
b) $4t + 1 = \frac{r}{s - 2}$
c) $4t + 1 = r(s - 2)$
d) $4t + 1 = (s - 2)^r$

Explanation:

Module 1: Question 4

Step1: Substitute b=7 into equation

Substitute $b=7$ into $5b + 7d = 42$:
$5(7) + 7d = 42$

Step2: Calculate 5*7 and simplify

$35 + 7d = 42$
Subtract 35 from both sides:
$7d = 42 - 35 = 7$

Step3: Solve for d

Divide both sides by 7:
$d = \frac{7}{7} = 1$

Step1: Isolate the fraction term

Subtract 2 from both sides of $s = \frac{r}{4t+1} + 2$:
$s - 2 = \frac{r}{4t+1}$

Step2: Cross-multiply to solve for 4t+1

Multiply both sides by $4t+1$ and divide by $s-2$:
$4t+1 = \frac{r}{s-2}$

Answer:

B) 1

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Module 1: Question 15