I– non-calculator
Name: Non-calculator
Match the expression in Column A with the appropriate algebraic expression in Column B.
|COLUMN A |COLUMN B |
| |1) |
|_____Twice some amount x is decreased by five. | |
| |2) x – 3 |
|_____One more than three times some amount x. | |
| |3) 2x |
|_____Some amount x less than eight. | |
| |4) 3x + 1 |
|_____Three less than some amount x. | |
| |5) x + 5 |
|_____ Five more than some amount x. | |
| |6) 8 – x |
|_____ Some amount x more than 2. | |
| |7) 2x – 5 |
|_____ Some amount doubled. | |
| |8) 2 + x |
|_____ Six less than a third of some amount x. | |
Write an algebraic expression to represent the situation. Be sure to define your variables.
Example:
There are 5 chocolate chip cookies and some number of peanut butter cookies on the plate. There are 13 cookies on the plate.
Let P = the number of peanut butter cookies.
5 + P = 13 ( “5 plus the number of peanut butter cookies equals the total number of cookies.”
9) Suzie bought 5 packages of bubble gum. She also bought 2 packages to her brother. All of the packages contain x pieces of gum. There are a total of 70 pieces of gum.
10) At the school bake sale, Sara and Ana sold cupcakes. Sara sold 12 cupcakes and Ana sold 14 cupcakes. Each cupcake cost x cents. They made $20.80 total.
Solve the following problems. Be sure to Define your variables, write your Equation, Solve you equation, Check your answer, then write a Sentence that answers the question. You will only get full credit if you show all of these steps.
11) Suzie bought 2 packages of bubble gum. She also bought 4 packages to her brother. There are a total of 48 pieces of gum. How many pieces are in each pack?
12) At the school bake sale, Sara and Ana sold cupcakes. Sara sold 9 cupcakes and Ana sold 7 cupcakes. They made $12.80 total. How much did each cupcake cost?
13) The distance, d, in feet, that a dropped rock falls in t seconds can be estimated using the formula below.
d = 16t2
a) What is the distance, in feet, that a dropped rock will fall in 10 seconds? Show your work.
b) What is the ratio of the distance a dropped rock will fall in 30 seconds as compared to the distance a dropped rock will fall in 10 seconds? Show your work.
c) How many seconds will it take a dropped rock to fall 144 feet? Show your work.
d) To the nearest tenth of a second, how many seconds will it take a dropped rock to fall 80 feet? Show your work.
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