U2 Quiz 2 Review: Manipulating & Understanding Equations

Write a sentence to interpret the solution (45, 88) if x is the number of minutes studied and y is the grade on a test.

The equation 2x + 3y = 120 is graphed. The equation represents the number of chocolate bars, x, and candied nuts, y, students must sell in order to earn enough money to pay for a school field trip to an amusement park.

Which of the following statements about the scenario, graph, and solutions are true? Select all that apply.

• The student is selling candy bars for $3 each.

• The line represents the combination of candy bars and candied nuts the student needs to sell to earn exactly $120.

• If the student sells 10 candy bars and 30 candied nuts, they will earn enough to go on the school trip.

• If the student sells 65 candy bars, they will have enough money to afford the trip.

• If the student sells 40 candy bars, they need to sell 14 or more candied nuts to afford the trip.

If a student sells 60 candy bars, how many candied nuts do they need to sell according to the graph?

• 0

• 10

• 30

• 40

What does the point (45,10) on the graph signify in relation to the situation of selling candybars and candied nuts to go on a field trip?

• Selling 45 candy bars and 10 candied nuts

• Selling 10 candy bars and 45 candied nuts

• Selling 45 candy bars and 20 candied nuts

• Selling 20 candy bars and 45 candied nuts

Fill in the blank: According to the graph, selling 0 candy bars requires selling ___ candied nuts to earn $120.

• 10

• 20

• 30

• 40

Which equations are equivalent to 6x+16 = 2x+28?

• 3x+8 = x+14

• 12x+32 = 4x+56

• 4x+16 = 28

• 12x+16 = 4x+28

• 8x+16 = 28

Fill in the blank: The solution to the equation 10a = 5a is a = ____.

• 0

• 1

• 2

• 5

Fill in the blank: The solution to the equation 10a = 5a is a _______ type of solution.

• Infinite

• None

• One

Match the equation to it's special solution.

• Infinite Soutions

• No Solution

• 1 solution; 0 is the solution.

Given 4x + 2y = 8; which of the following is an equivalent equation?

• y = 2x + 4

• y = -1/2x + 2

• y = 1/2x - 2

• y = -2x + 4