Question

1. convert the point - slope form $y + 3 = 2(x - 1)$ to standard form.

a. $2x + y = 5$
b. $2x - y = 5$
c. $x - 2y = 1$
d. $x - 2y = 5$

1. what is the slope of the line given by the equation $10x - 5y = 20$?

a. $-2$
b. $-0.5$
c. $2$
d. $1$

1. when solving $\frac{ab + c}{d}=e$ for $a$, what is the first step?

a. multiply both sides by $d$
b. subtract $c$ from both sides
c. divide both sides by $b$
d. add $c$ to both sides

Explanation:

Question 23:

Step1: Expand the right-hand side

$y + 3 = 2x - 2$

Step2: Rearrange terms to standard form

$2x - y = 3 + 2$
$2x - y = 5$

Question 24:

Step1: Rewrite in slope-intercept form

$10x - 5y = 20$
$-5y = -10x + 20$

Step2: Solve for $y$

$y = \frac{-10x}{-5} + \frac{20}{-5}$
$y = 2x - 4$
The coefficient of $x$ is the slope, so slope $=2$.

Question 25:

Step1: Isolate numerator first

To solve $\frac{ab+c}{d}=e$ for $a$, eliminate the denominator by multiplying both sides by $d$:
$ab + c = ed$
This is the first necessary step to isolate terms with $a$.

Answer:

1. b. $2x - y = 5$
2. c. $2$
3. a. Multiply both sides by $d$