Jan 2018

When solving the equation

12x² - 7x = 6 -2(x² - 1).

Evan wrote 12x² - 7x = 6 - 2x² + 2 as his first step. which property justifies this step?

• Subtraction property of equality

• Multiplication property of equality

• Associative property of multiplication

• Distributive property of multiplication over subtraction

• V(x) = 4(0.65)^x, and it grows

• V(x) = 4(0.65)^x, and it decays

• V(x) = 4(1.35)^x, and it grows

• V(x) = 4(1.35)^x, and it decays

Alicia purchased H half-gallons of ice cream for $3.50 each and P packages of ice cream cones for $2.50 each. She purchased 14 items and spent $43. Which system of equations could be used to determine how many of each item Alicia purchased?

• 3.50H + 2.50P = 43

  H + P = 14

• 3.50P + 2.50H = 43

  P + H = 14

• 3.50H + 2.50P = 14

  H + P = 43

• 3.50P + 2.50H = 14

  P + H = 43

• A function because it passes the horizontal line test

• A function because it passes the vertical line test

• not a function because it fails the horizontal line test

• not a function because it fails the vertical line test

Ian is saving up to buy a new baseball glove. Every month he puts$10 in a jar. Which type of function best models the total amount of money in the jar after a given number of months?

• linear

• exponential

• quadratic

• square root

Which ordered pair would not be a solution to y= x³ - x?

• ((-4,-60)

• (-3, -24)

• (-2,-6)

• (-1,-2)

Last weekend, Emma sold lemonade at a yard sale. The function P(c) = .50c -9.96 represented the profit,P(c),Emma earned selling c cups of lemonade. Sales were strong, so she raised the price for this weekend by 25 cents per cup. which function represents her profit for this weekend?

• P(c) = .25c - 9.96

• P(c) = .50c - 9.71

• P(c) = .50c - 10.21

• P(c) = .75c - 9.96

The product of √576 and √684 is

• irrational because both factors are irrational

• rational because both factors are rational

• irrational because one factor is irrational

• rational because one factor is rational