The solution to [math]5-3x>35[/math] is either [math]x>\text{-}10[/math] or [math]\text{-}10>x[/math]. Which solution is correct? Explain how you know.
The school band director determined from past experience that if they charge [math]t[/math] dollars for a ticket to the concert, they can expect attendance of [math]1000-50t[/math]. The director used this model to figure out that the ticket price needs to be $8 or greater in order for at least 600 to attend. Do you agree with this claim? Why or why not?
Which inequality is true when the value of [math]x[/math] is -3?
Write three different equations that match the tape diagram.[br][br][img]data:image/png;base64,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[/img]
[size=150]A baker wants to reduce the amount of sugar in his cake recipes. He decides to reduce the amount used in 1 cake by [math]\frac{1}{2}[/math] cup. He then uses[math]4\frac{1}{2}[/math] cups of sugar to bake 6 cakes.[/size][br][br][img]data:image/png;base64,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[/img][br]Describe how the tape diagram represents the story.
How much sugar was originally in each cake recipe?
One year ago, Clare was 4 feet 6 inches tall. Now Clare is 4 feet 10 inches tall. By what percentage did Clare’s height increase in the last year?