Addition and Subtraction Inequalities Answers

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3

Ben wants to buy a new car stereo and he has already saved some money. He used this inequality to represent the amount he still has to save to be able to buy the stereo, where a represents the amount still left to save. If Ben saves $15 a week for the next 10 weeks, will he be able to buy the stereo and why?

Question illustration
A
No, because he needs to save at least $153, and he will only save $150 over the next ten weeks.
B
No, because he needs to save $577, and he will only save $150 more.
C
Yes, because he has already saved $365, and the stereo cost $212.
D
Yes, because he has already saved $212, and he will save another $150.
5

Vince is saving for a new mobile phone. The least expensive model Vince likes costs $225.90. Vince has saved $122.35. He used this solution to determine how much more he needs to save. Vince says that based on the solution, he should save a maximum of $103.55.Is Vince correct?

Question illustration
A
Vince is correct because he found the correct solution to the inequality.
B
Vince is correct because he should save at least $103.55.
C
Vince is not correct because he wrote the wrong inequality to represent the situation.
D
Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.
6

Which shows the correct solution to the inequality ?

Question illustration
A
StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction.
Option A
B
StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction.
Option B
C
StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative StartFraction 37 over 40 EndFraction.
Option C
D
StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative StartFraction 37 over 40 EndFraction.
Option D
8

Which is the solution to the inequality?

Question illustration
A
y less-than negative 12
Option A
B
y greater-than negative 12
Option B
C
y less-than 18
Option C
D
y greater-than 18
Option D
9

Which number line shows the solution to the inequality?

Question illustration
A
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
Option A
B
A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded.
Option B
C
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
Option C
D
A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.
Option D
10

Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride. In the context of this situation, what does the inequality represent?

Question illustration
A
After next year, Aisha still needs to grow 43 more inches to ride.
B
Aisha is less than 43 inches tall right now.
C
Aisha needs to grow 43 more inches to ride.
D
Aisha is at least 43 inches tall now.

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