Questions and Answers
What is the volume of a rectangular prism (box) that has the measurements 4 feet by 3 feet by 5 feet?
60 feet cubed
Solve this equation for x: 3(2x-7)=9
5
What is 30% of 200?
60
Joe Schmoe had $56 in his bank account, but spent $73 on a stereo. How much does he now owe the bank?
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The regular price of an mp3 player is $150, and is now on sale for 35% off. What is the new sale price?
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Tickets to the state fair cost $30.00 for 10 tickets. Find the unit rate for one ticket to the state fair.
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If there are 4 choices of entrees, 5 choices of side dishes and 3 drink choices, how many possible meal combinations can be made?
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Find the range of these test scores: 92, 78, 93, 86, 72, and 93.
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Find the volume of a cylinder with a radius of 10 inches and a height of 12 inches.
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Find the mean of these test scores: 92, 78, 93, 86, 72, and 93.
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Water park tickets cost $48 for 16 tickets. What is the price of 12 tickets?
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Find the median of these test scores: 92, 78, 93, 86, 72, and 93.
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What is the starting point or y-intercept in this equation: y = -9x + 14?
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Put these numbers in order from least to greatest: 10, -8, 0, 1.5, 6, -2.3, -3.
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Find the price for one t-shirt if 15 t-shirts costs $112.50.
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Which number is further from zero: -13.6 or 13.65?
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Jake woke up when it was -13 degrees outside. When he went out in the afternoon, the temperature had risen to 8 degrees. How much did the temperature rise during the day?
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Cup #1 has a red, blue, and yellow marble, while Cup #2 has a pink, green, and blue marble. What is the probability that both blue marbles are drawn if one marble is taken from each cup?
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The side of a triangle has a length of 4 centimeters. If it is enlarged by a factor of 6, what is the length of the new side?
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Find the product of -2.5 and 8.
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Find the sum of -9 and -16.
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What is the probability of rolling an even number on a number cube with 6 sides?
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In what quadrant is the point (15, -2) located?
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If the two legs of a triangle have the lengths of 6 and 8, what is the length of the hypotenuse?
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What is 90% of 150?
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Kim gets the following scores on her math tests: 81, 65, 73, 88, and 79. Which measure will give her the highest possible grade: mean, median, or range?
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What is the surface area of a rectangular prism (box) that has the measurements 4 feet by 3 feet by 5 feet?
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Solve this expression: 19 - -7.
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Miss Smith has 1 strawberry in her fruit salad for every 7 grapes. If she puts 42 grapes in the fruit salad, how many strawberries will she need?
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How do you know if a table is linear?
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Study Notes
Volume Calculations
- Volume of a rectangular prism = length x width x height. For measurements 4ft x 3ft x 5ft, volume = 60 cubic feet.
- Volume of a cylinder = π x radius² x height. For radius 10 inches and height 12 inches, volume = 3768 cubic inches.
Solving Equations
- To solve 3(2x - 7) = 9 for x, isolate x to find x = 5.
Percentages and Sales
- To find 30% of 200, calculate 0.30 x 200 = 60.
- New sale price of an mp3 player originally priced at $150 with 35% off: $150 - ($150 x 0.35) = $97.50.
Financial Calculations
- If Joe Schmoe spends $73 from $56, he owes the bank $17 ($56 - $73).
- Price of 12 water park tickets if 16 tickets cost $48: $48/16 = $3 per ticket, then $3 x 12 = $36.
- Price per t-shirt if 15 shirts cost $112.50: $112.50/15 = $7.50.
Combinations and Probability
- With 4 entree choices, 5 side options, and 3 drink selections, total meal combinations = 4 x 5 x 3 = 60.
- Probability of drawing both blue marbles from two cups (one with red, blue, yellow and the other with pink, green, blue) = 1/3 x 1/3 = 1/9.
Statistics
- To find the range of test scores (92, 78, 93, 86, 72, 93), subtract lowest score from highest, giving 21 (93 - 72).
- Mean of scores = sum of scores divided by number of scores. For scores, mean = (92 + 78 + 93 + 86 + 72 + 93)/6 = 85.6.
- Median score is the middle value when arranged: for scores 92, 78, 93, 86, 72, 93, median = 89.
Geometry and Measurement
- The hypotenuse of a triangle with legs 6 and 8 can be calculated with the Pythagorean theorem: hypotenuse = √(6² + 8²) = 10.
- When a side of a triangle of length 4 cm is enlarged by a factor of 6, the new length is 24 cm.
Basic Arithmetic and Features
- Product of -2.5 and 8 is -20.
- Sum of -9 and -16 equals -25.
- Solve 19 - -7: subtracting a negative equals adding, giving 26.
- Determine a constant rate from a table to confirm linearity.
Sorting and Order
- Order numbers from least to greatest: -8, -3, -2.3, 0, 1.5, 6, 10.
Comparing Values
- Determine which number is further from zero between -13.6 and 13.65: both are 13.65 units from zero.
Quadrants in a Coordinate Plane
- The point (15, -2) is located in Quadrant IV.
Understanding Linear Relationships
- A table is linear if there’s a constant rate of change between values.
Studying That Suits You
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Description
Prepare for your 7th-grade math exams with this practice test. These flashcards include questions on volume, solving equations, percentage calculations, and basic financial mathematics. Test your skills and boost your confidence in math!
