AnswersCA-Common Core Math II AOperations on Rational and Irrational Numbers

Inequalities in One Variable Answers

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For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey’s hourly rate, c?

A
One-half c plus 1 equals 6
Option A
B
One-half c minus 1 equals 6
Option B
C
One-half c plus 6 equals 1
Option C
D
One-half c minus 6 equals 1
Option D
2
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The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where x represents the cost of a ticket. How much is one ticket?

A
$3.00
B
$4.00
C
$9.00
D
$15.00
3

For which equations below is x = –3 a possible solution? Select three options.

A
|x| = 3
B
|x| = –3
C
|–x| = 3
D
|–x| = –3
E
–|x| = –3
4

Carina begins to solve the equation by adding 4 to both sides. Which statements regarding the rest of the solving process could be true? Select three options.

Question illustration
A
After adding 4 to both sides, the equation is .
Option A
B
After adding 4 to both sides, the equation is .
Option B
C
The equation can be solved for using exactly one more step by multiplying both sides by .
Option C
D
The equation can be solved for x using exactly one more step by dividing both sides by .
Option D
E
The equation can be solved for x using exactly one more step by multiplying both sides by .
Option E
5

Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawals or deposits. The equation below can be used to find m , the number of months it will take him to save a total of $175.75 + ?m = 175What number should he use as the coefficient of m?

A
50
B
75
C
125
D
175

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