1.) ldentify the inequality with x = 3 as a solution. Select all that apply.(3 points)
a) x + 3 < 4(x + 1) + 2
x + 3 < 4(x + 1) + 2
B) 2x - 8 ≥ 7 - 3x
2x - 8 ≥ 7 - 3x
c) 3(x + 2) < 14 - x
3(x + 2) < 14 - x
d) 4(x - 1) < x + 5
4(x - 1) < x + 5
e) 5 - 2( x + 1) > x
5 - 2( x + 1) > x
f) 6(x - 4) ≤ 2x
6(x - 4) ≤ 2x
Question 2
The following inequality is solved for x.
Line A 4(x + 1) + 8 ≥ 4 + 2x
Line B 4x + 4 + 8 ≥ 4 + 2x
Line C 4x + 12 ≥ 4 + 2x
Line D 2x + 12 ≥ 4
Line E 2x ≥ - 8
Line F x ≥ -4
and Which Line shows the inequality after you combine like terms?
Responses
Line B
Line B
Line C
Line C
Line D
Line D
Line E
Line E
Line F
Line F
Question 3
Mari is solving the inequality 4(x - 3) > 16. Her first step is 4x - 12 > 16.
Which step could be the next step? Select all that apply.
(3 points)
Responses
A) 4x - 12 + 12 > 16 + 12
4x - 12 + 12 > 16 + 12
B) 4x - 12 - (-12) > 16 - (-12)
4x - 12 - (-12) > 16 - (-12)
C) (14)(4x − 12) > 16 (1(4))(14)(4x − 12) > 16 (1(4))
D) 4x4 − 12 > 1644x4 − 12 > 164
E) 4(4x - 12) > 16(4)
4(4x - 12) > 16(4)
Question 4
Javon and Ivy are both given the equation 5 − 2x−13 ≤ 4. Javon thinks the first step is − 2x−13 ≤ 9. Ivy thinks the first step is −2x− 13 ≤ −1. Who is incorrect and why?(1 point)
Responses
A) Ivy is incorrect because, on her first step, she did not add 5 (or equivalently subtract -5) from both sides of the equation.
Ivy is incorrect because, on her first step, she did not add 5 (or equivalently subtract -5) from both sides of the equation.
B) Both students are incorrect because, on their first step, they did not multiply by 3 on both sides of the equation.
Both students are incorrect because, on their first step, they did not multiply by 3 on both sides of the equation.
C) Both students are incorrect because, on their first step, they did not divide by 3 (or equivalently multiply by 13) from both sides of the equation.
Both students are incorrect because, on their first step, they did not divide by 3 (or equivalently multiply by 1 third) from both sides of the equation.
D) Javon is incorrect because, on his first step, he did not subtract 5 ( or equivalently add -5) from both sides of the equation.
Javon is incorrect because, on his first step, he did not subtract 5 ( or equivalently add -5) from both sides of the equation.
Question 5
Consider the inequality 3( - 1 - x) ≤ -2x - 3x.
The solution set of the inequality is:
(1 point)
Responses
A) {x|x≥32}
{x|xis greater than or equal to 3 halves}
B) {x|x≤32}
{x|xis less than or equal to 3 halves}
C) {x|x≥23}
{x|xis greater than or equal to 2 thirds}
D){x|x≤23}
{x|xis less than or equal to 2 thirds}
1.) The inequality with x = 3 as a solution is:
a) x + 3 < 4(x + 1) + 2
c) 3(x + 2) < 14 - x
d) 4(x - 1) < x + 5
e) 5 - 2(x + 1) > x
2.) The line that shows the inequality after combining like terms is:
Line C: 4x + 12 ≥ 4 + 2x
3.) The next step in solving the inequality 4(x - 3) > 16 could be:
A) 4x - 12 + 12 > 16 + 12
C) (1/4)(4x - 12) > 16
E) 4(4x - 12) > 16(4)
4.) Javon is incorrect because, on his first step, he did not subtract 5 (or equivalently add -5) from both sides of the equation.
5.) The solution set of the inequality 3(-1 - x) ≤ -2x - 3x is:
B) {x | x ≤ 3/2} (x is less than or equal to 3 halves)