Linear Equation Variable both sides Quiz

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5 questions

Linear equations variables on both sides

Name/Period *

Cranberry juice costs $6.30 per quart and apple juice costs $3.60 per quart. Terrence wants to make a mixture of apple juice and cranberry juice that sells for $4.50 per quart. How many quarts q of cranberry juice should he mix with 4 quarts of apple juice to make cranberry-apple juice at that price? Which equation below represents the situation? *

5 points

3.60(q - 4) + 25.20 = 4.50q

3.60q + 25.20 = 4.50(q + 4)

6.30(q - 4) + 14.40 = 4.50q

6.30q + 14.40 = 4.50(q + 4)

Other:

Tonya's dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee, but she charges $5 per mile for each dog walked. Write and solve an equation to find the number of miles m for which Tanya and Beth would charge the same amount. *

5 points

Which of the equations shown have infinitely many solutions? Select all that apply

5 points

3x - 1 = 3x + 1

2x -1 = 1 - 2x

3x - 2 = 2x - 3

3(x - 1) = 3x - 3

2x + 2 = 2(x + 1)

3(x - 2) = 2(x - 3)

Other:

What is the value of x in the equation below? 3/2(4x - 1) - 3x = 5/4 - (x + 2)

5 points

How many solutions does the equation 4x + 2(x-5)=3(2x - 4) *

5 points

no solution

exactly one solution

at least two solutions

infinitely many solutions

Other:

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