Keystone sampler 2022-23 Module 1 Multiple Choice

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• The missing coefficient (a) must be 9 or 18 . The missing exponent (b) must be 5 .

• The missing coefficient (a) must be 9 or 18 . The missing exponent (b) can be any number 5 or less

• The missing coefficient (a) can be any multiple of 3 . The missing exponent (b) must be 5 .

• The missing coefficient (a) can be any multiple of 3 . The missing exponent (b) can be any number 5 or less .

• (x - 4)

• (x - 5)

• (x - 8)

• (x - 10)

The steps taken to correctly solve an equation are shown below, but one step is missing .

ˉ2(x – 3) = ˉ6(x + 4)

ˉ2x + 6 = ˉ6x – 24

4x = ˉ30

x = ˉ7 .5

Which set of statements shows the equation that is most likely the missing step and the property that justifies the missing step? (70% got this correct)

• 4x – 6 = 24 This step is justified by the additive property of equality

• 4x – 6 = 24 This step is justified by the multiplicative property of equality

• 4x + 6 = ˉ24 This step is justified by the additive property of equality

• 4x + 6 = ˉ24 This step is justified by the multiplicative property of equality

• The box contains 10 total batteries, 7 of which provide 1 .5 volts each

• The box contains 10 total batteries, 7 of which provide 9 volts each

• The box contains 10 batteries that provide 1 .5 volts each and 7 batteries that provide 9 volts each .

• The box contains 10 batteries that provide 9 volts each and 7 batteries that provide 1 .5 volts each

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Calvin will plant lily bulbs and iris bulbs in his front garden . He will plant a total of 40 flower bulbs and 3 times as many iris bulbs as lily bulbs . The graph below shows the number of lily bulbs (x) and the number of iris bulbs (y) Calvin will plant.

Which statement describes the point of intersection on the graph?

(84% correct)

• Calvin will plant 40 lily bulbs

• Calvin will plant 40 iris bulbs

• Calvin will plant 10 lily bulbs and 30 iris bulbs .

• Calvin will plant 30 lily bulbs and 10 iris bulbs

54% got this correct

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An inequality is shown below .

ˉx + 2 > ˉ3(x + 2)

Which graph represents the solution set of the inequality?

(62% correct answer)

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