Solving One-Variable Inequalities — Unit test Answers

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Which expression is equivalent to ?

Question illustration
A
One-third x minus one-fourth y minus four-fifths + one-third x + one-fourth y
Option A
B
One-third x minus one-fourth y minus four-fifths + one-third x minus one-fourth y
Option B
C
One-third x minus one-fourth y minus one-fifth minus one-third x minus three-fifths minus one-fourth y
Option C
D
One-third x minus one-fourth y + two-fifths + one-third x minus two-fifths minus one-fourth y
Option D
23

Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Select three options.1 ≥ 2x6x ≥ 3 + 8x – 4

Question illustration
A
1 ≥ 2x
B
6x ≥ 3 + 8x – 4
C
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
Option C
D
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right.
Option D
E
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.
Option E
24

is in the solution set

–2
–1
0
0
1
1
25

Which is the correct algebraic expression after combining like terms?

Question illustration
A
3 c d + 2 and two-thirds c minus 11 d
Option A
B
3 c d + 3 and one-thirds c minus 3 d
Option B
C
9 c d + 2 and two-thirds c minus 3 d
Option C
D
9 c d + 3 and one-thirds c minus 3 d
Option D

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