Keystone Review 2

An equation is shown.

What is the value of x?

• 2

• 3

• 6

• 8

• 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, but one step is missing .

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

• 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 .

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 below models this situation .

1 .5x + 9y = 78

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.

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 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 |2x – 1| < 7?

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