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43 Cards in this Set
- Front
- Back
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Evaluate the expression for x = -2 and y = 3. |
11
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Evaluate the expression for x = 3 and y = -5
|2 – 2x| - 3|y| |
-11
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Solve the equation: |x – 13| = 2
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x = 15 and x = 11
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Solve the equation.
5 – 3|2 + 2w| = -7 |
w = 1 and w = -3
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Solve the equation.
|x – 4| + 12 = 8 |
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Solve the equation.
|x – 4| = 3x - 6 |
x = 2 ½
(note that 1 is solution but it is an extraneous solution) |
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The US Mint produces quarters that weight about 5.67 grams each. After the quarters are produced, a machine weighs them. If the quarter weighs 0.02 grams more or less than the desired weight, the quarter is rejected. Clearly define a variable and write an absolute value equation that models the acceptable weights of quarters.
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Q = actual weight of quarter in grams.
|5.67 - Q| < 0.02 |
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76
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121
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The diameter of a circle is 7 inches. What is the circumference and area of the circle? (Round to the nearest hundredths)
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5 cm
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The set of all rational and irrational numbers |
real numbers
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A letter used to represent an unknown quantity.
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variable
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The process to evaluate mathematical expressions.
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order of operations
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The set of counting numbers.
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natural numbers
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The set of counting numbers and zero.
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whole numbers
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The set of counting numbers, their opposites and zero.
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integers
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The set of numbers that can be expressed as a ratio and the decimal form of the number repeats or ends.
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rational numbers
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The set of numbers that can be expressed as a ratio and the decimal form of the number DOES NOT repeat or end.
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irrational numbers
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Name the (lowest) set of numbers to which zero belongs.
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whole number
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Name the (lowest) set of numbers to which -4 belongs.
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integer
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Name the (lowest) set of numbers to which 8 belongs.
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natural number
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Name the (lowest) set of numbers to which ¾ belongs.
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rational number
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Name the (lowest) set of numbers to which √2 belongs.
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irrational number
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List the additive inverse and multiplicative inverse of 1.25. Clearly identify which is additive and which is multiplicative.
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additive inverse = - 1.25
multiplicative inverse = 4/5 |
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Describe the steps to solve the equation:
5(6 – 4x) = x + 21 |
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You are purchasing shoes for $39.99 and a Seahawks t-shirt for $29.99 at Fred Meyer. Sales tax in King County is 9.8%. Show an equality that demonstrates the distributive property. (Note you will NOT be providing a total price)
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.098(39.99) + .098(29.99) = .098(39.99 + 29.99)
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Write an algebraic expression to represent the verbal expression: 4 times a number increased by 7.
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4x + 7
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Write a verbal expression for the algebraic expression.
m/5 = 3(2m + 1) |
The quotient of a number and five equals three times the sum of two times a number and one.
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Solve the inequality and graph the solution set on a number line. z/-4 > 2
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Solve the inequality and graph the solution set on a number line. 7x – 9 > 3x - 1
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Write and solve an inequality for the problem. The difference of four times a number and 16 is at least 8.
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The Smiths’ hotel room costs $90 a night. An additional 10% tax is added. Hotel parking is $12 per day. The Smiths’ expect to spend $30 in tips during their stay. Their budget for hotel costs is $600. Clearly define your variable. Write and solve an inequality to determine the number of nights the Smiths can stay at the hotel without exceeding their budget.
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x > -2
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-1 < x < 5
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Solve the inequality: |n – 5| < 7
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n < 12 and n > -2
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