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17 Cards in this Set
- Front
- Back
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Solving an equation or inequality can be thought of as a process of __________.
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Solving an equation or inequality can be thought of as a process of answering a question.
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What can be used to determine whether a given number in a specified set makes an equation or inequality true?
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Substitution
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Does x=5 make this equation true? If not, what value does make it true? x+2=9
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x=5 does not make the equation true. x=7 makes the equation true.
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does y=14 make this inequality true? If no, what value (or values) makes it true? 153 ≥ 3y+39
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y=14 does not make the inequality true. y ≤ 38 makes the inequality true.
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Does a=160 make this equation true? If not, what value does make it true? a-38=122
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a=160 makes the equation true.
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Does b=3 make this inequality true? If no what value (or values) makes it true? 4b+2 < 18
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b=3 makes the inequality true.
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Write the sentence as an algebraic equation. A number increased by nine is fifteen
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y+9=15
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Write an algebraic equation to represent the problem at hand. Jeanne has $17 in her piggy bank. How much money does she need to buy a game that costs $68?
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17+x=68
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Write the sentence as an algebraic equation. Twelve is sixteen less than four times a number.
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12=4x-16
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Write an algebraic equation to represent the problem at hand. Matt has fourteen more than twice the number of video games that Mark has. If Matt has 36 video games, how many does Mark have?
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14+2x=36
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A variable can be used to represent an unknown _________.
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A variable can be used to represent an unknown number.
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When used in an inequality, a variable can be used to represent any number in a __________.
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When used in an inequality, a variable can be used to represent any number in a specified set.
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Scientists often use an equation with a variable to convert between units of measurement. For example, they use the formula (9/5)C+32=F to convert between degrees celsius and degrees Fahrenheit. If a scientist knows that the temperature of a cup of water is 17 degrees celsius, what is its temperature in degrees Fahrenheit?
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62.6 degrees Fahrenheit
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If a boat is designed to hold less than or equal to 675 lbs without sinking, How many 145 lb people could be on the boat without it sinking? Use an inequality with a variable to solve this problem.
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145x lb ≤ 675 lb x=4.7 The boat could hold 4 or less 145 lb people without sinking.
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Represent the inequality x > 4 on a number line.
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Represent the inequality x ≤ 9 on a number line.
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Represent x ≥ -8 on a number line.
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