Solving Equations with Rational Numbers

Question 1

x =

Revolt · Accepted Answer

4.7

Question 2

How many people went to the movies?

Revolt · Accepted Answer

3

Question 3

Which equation represents the scenario? How many people went to the movies?

Revolt · Accepted Answer

6.25x + 12 = 30.75; Selection 1: 6.25x + 12 = 30.75; Selection 2: 3

Question 4

Which steps can be used to solve for x? Check all that apply.

Revolt · Accepted Answer

Subtract from both sides of the equation.; Divide both sides by .; Multiply both sides by .

Question 5

In which step did Jerry make an error?

Revolt · Accepted Answer

In step 5, he should have multiplied both sides by .

Question 6

Bobby claims that Peter started with 21 cards. Which statements are true about verifying Bobby’s claim? Check all that apply.

Revolt · Accepted Answer

Substitute 21 for x in the original equation.; Bobby’s claim that x = 21 is correct.; The result of verifying Bobby’s work is 9 = 9.

Question 7

These equations represent different possibilities for a waiter earning $11.25 for waiting on one table for one hour. The constant is the hourly rate and the coefficient represents the fraction of the bill, b, the customers left as a tip. Which equation correctly represents the hourly rate and tip for a bill of $30.00?

Revolt · Accepted Answer

5.25 + b = 11.25

Question 8

Carrie’s allowance was $.

Revolt · Accepted Answer

24

Question 9

Question 10

Revolt · Accepted Answer

First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.

Question 10

Which did you include in your response?

Revolt · Accepted Answer

Change the fractions using the lowest common denominator.; Combine the like terms of the variable.; Use the subtraction property of equality.; Multiply by the reciprocal.

Solving Equations with Rational Numbers Answers

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