PA Keystone questions 22-23

An equation is shown to the left .

What is the value of x?

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A coefficient (a) and an exponent (b) are missing in the two monomials shown to the left.

The least common multiple (LCM) of the two monomials is 18x5 . Which pair of statements about the missing coefficient and the missing exponent is true?

• 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

Which expression is a factor of x^2 + 3x – 40?

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Simplify the equation to the left.

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The steps taken to correctly solve an equation are shown to the left, but one step is missing . Which set of statements shows the equation that is most likely the missing step and the property that justifies the missing step?

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Deshawn has a box of batteries .

Some of the batteries provide 1 .5 volts each . The rest of the batteries provide 9 volts each . The total voltage provided by all the batteries in the box is 78 volts . The equation shown to the left models this situation . One solution to this equation is (10, 7) . What does this solution represent?

• 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 .

A system of equations is shown to the left.

Which graph shows the system of equations with the solution or solutions of the system of equations labeled?

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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?

• 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

Which graph represents the solution set of the inequality?

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An inequality is shown to the left. Which graph represents the solution set of the inequality?  

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