Question

3.3 & 3.5 practice #1
student name: kennic
number of questions: 13
instructor name: romero, cristina
class name: ba
question 1 of 13
solve for u.
4(u - 5) - 9 = -7(-3u + 3) - 5u
simplify your answer as much as possible.
question 2 of 13
solve for u.
-6u + 4(u - 4) = -32
simplify your answer as much as possible.
u =
question 3 of 13
solve for x.
-6 = -8x + 2(x + 3)
simplify your answer as much as possible.
x =
question 4 of 13
solve for w.
4w + 3(w - 6) = -39
simplify your answer as much as possible.
w =
question 5 of 13
solve for x.
-2(6x - 8) + 2x = 6(x + 2)
simplify your answer as much as possible.
question 6 of 13
solve for u.
-3(u - 7) = 2u + 36
simplify your answer as much as possible.
u =
question 7 of 13
solve for u.
4u - 10 = -2(u - 7)
simplify your answer as much as possible.
u =

Explanation:

Question 1 of 13

Step1: Expand all parentheses

$4u - 20 - 9 = 21u - 21 - 5u$

Step2: Combine like terms

$4u - 29 = 16u - 21$

Step3: Isolate u terms

$4u - 16u = -21 + 29$

Step4: Simplify and solve for u

$-12u = 8$
$u = -\frac{8}{12} = -\frac{2}{3}$

Question 2 of 13

Step1: Expand the parentheses

$-6u + 4u - 16 = -32$

Step2: Combine like terms

$-2u - 16 = -32$

Step3: Isolate u term

$-2u = -32 + 16$

Step4: Simplify and solve for u

$-2u = -16$
$u = 8$

Question 3 of 13

Step1: Expand the parentheses

$-6 = -8x + 2x + 6$

Step2: Combine like terms

$-6 = -6x + 6$

Step3: Isolate x term

$-6x = -6 - 6$

Step4: Simplify and solve for x

$-6x = -12$
$x = 2$

Question 4 of 13

Step1: Expand the parentheses

$4w + 3w - 18 = -39$

Step2: Combine like terms

$7w - 18 = -39$

Step3: Isolate w term

$7w = -39 + 18$

Step4: Simplify and solve for w

$7w = -21$
$w = -3$

Question 5 of 13

Step1: Expand all parentheses

$-12x + 16 + 2x = 6x + 12$

Step2: Combine like terms

$-10x + 16 = 6x + 12$

Step3: Isolate x terms

$-10x - 6x = 12 - 16$

Step4: Simplify and solve for x

$-16x = -4$
$x = \frac{-4}{-16} = \frac{1}{4}$

Question 6 of 13

Step1: Expand the parentheses

$-3u + 21 = 2u + 36$

Step2: Isolate u terms

$-3u - 2u = 36 - 21$

Step3: Simplify and solve for u

$-5u = 15$
$u = -3$

Question 7 of 13

Step1: Expand the parentheses

$4u - 10 = -2u + 14$

Step2: Isolate u terms

$4u + 2u = 14 + 10$

Step3: Simplify and solve for u

$6u = 24$
$u = 4$

Answer:

Question 1: $u = -\frac{2}{3}$
Question 2: $u = 8$
Question 3: $x = 2$
Question 4: $w = -3$
Question 5: $x = \frac{1}{4}$
Question 6: $u = -3$
Question 7: $u = 4$