Solving Equations with Rational Numbers Assignment

Which steps can be used to solve 6/7x+1/2=7/8 for x? Check all that apply.

2 4 5

Carrie spent 1 4 of her allowance on a shirt, 1 3 of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie's allowance? Equation: 1 4 a + 1 3 a + 8 = 22 Carrie's allowance was

24

After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If Peter gave Bobby 9 baseball cards, how many cards did Peter start with? Linear equation: 1 2 (x - 3) = 9 Bobby claims that Peter started with 21 cards. Which statements are true about verifying Bobby's claim? Check all that apply

1, 3 ,4

Solve the linear equation for x. -4.8(6.3x - 4.18) = -58.56 x = 2.6

2.6

A group of friends are going to see the newest action movie. The price of a ticket is $6.25. As a group, they spent $12 on refreshments. If they spent a total of $30.75 on tickets and refreshments, how many people went to the movies? Which equation represents the scenario?

option 2 3

Find the value of the variable using these steps. 0.4x + 3.9 = 5.78 1. Subtraction property of equality 2. Division property of equality

4.7

Jerry solved this equation: 3 ( x − In which step did Jerry make an error?

D

Describe the steps you used to solve the equation and find the amount of Carrie's allowance. Linear equation:

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.

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?

c