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Name:____________________ Date:________ Benchmark Reviews Learning Target 2.1: I can locate and plot positive and negative numbers and their opposites on a number line. (7.1.1.3) 1. Identify the point that represents the decimal -­‐1.25 on the number line below. Justify your answer. A E B C D –2.0 –1.5 –1.0 –0.5 0 0.5 1.0 2. Which point represents the opposite of 0.5? Justify your answer 3. Arrange the numbers on a number line from least to greatest. I-­‐4I, 1.5, -­‐3, -­‐ ¼, -­‐2.75, 6½, -­‐9.25 Learning Target 2.2: I can compare positive and negative rational numbers using <, >, ≤, ≥, and =. (7.1.1.4) 4. Consider the inequality below. 26 < -­‐33 Explain why this inequality is incorrect 5. Consider this inequality !!"
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≥ −25.4 Which statement below accurately describes this inequality? Justify your answer. A.) This statement is TRUE because B.) This statement is TRUE because !!"
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equals −25.4. is to the right of −25.4on a number line. C.) This statement is FALSE because D.) This statement is FALSE because !!"
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is less than −25.4. has a smaller absolute value than −25.4 7. Learning Target 2.3: I can add and subtract positive and negative rational numbers and use them to solve real-­‐world problems (7.1.2.1, 7.1.2.2) At noon on Monday in Minneapolis, the temperature, in degrees Fahrenheit (F), was −4°F. At noon on Tuesday, the temperature was 6 degrees higher. What was the temperature at noon on Tuesday? Justify your answer. A.) −10 B.) −2 C.) 2 D.) 10 8. Consider the expression below. Without calculating the exact answer, respond to both parts. a. 45.03 + (-­‐35.25) i.) Will this expression result in a positive or negative number? ii.) Explain how you know b. -­‐15 -­‐ 8 . i.) Will this expression result in a positive or negative number? ii.) Explain how you know Learning Target 2.4: I can define absolute value and solve problems that use absolute value. (7.1.2.6) 9. Which number has the greatest absolute value? Justify your answer. A.) −17 B.) −13 C.) 15 D.) 19 10. Describe what you understand by absolute value Learning Target 2.5: I can locate and plot pairs of rational numbers (positive and negative) on a coordinate grid. 11. In which quadrant would the point (-­‐4, -­‐5 be? Justify your answer 12. Plot and label the four points below on the coordinate grid. A (3. 2), B (3, -­‐1), C (4, 11/2), D (0, 4.5)