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Math 1-2: Warm-up

Math 1-2: Warm-up. Use the four-step plan to solve each problem. At the local grocery store, a pound of potatoes cost $0.29, and a pound of bananas cost $0.39. What combination of potatoes and bananas could you buy for exactly $1.36? For exercises 2-4, use the following information.

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Math 1-2: Warm-up

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  1. Math 1-2: Warm-up • Use the four-step plan to solve each problem. • At the local grocery store, a pound of potatoes cost $0.29, and a pound of bananas cost $0.39. What combination of potatoes and bananas could you buy for exactly $1.36? • For exercises 2-4, use the following information. • A basketball player scored 27 points in the first game, 19 points in the second game, and 32 points in the third game. • Estimate the total number of points the basketball player scored. • About how many more points did he score in the first two games than in the third game? • About how many more points did he score in the last two games than in the first game? • What is the next figure in the pattern ▲►▼ • A. ▲ B. ◄ C. ▼ D. ►

  2. Math 1-2: Variables, Expressions, and Properties Objective: Evaluate expressions and identify properties.

  3. Vocabulary • variable – a symbol, usually a letter, used to represent a number. • algebraic expression – a combination of variables, numbers, and a least one operation. • numerical expression – a combination of numbers and at least one operation. • evaluate – to find the value of an expression by replacing the variables with numerals. • order or operations – the rules to follow when more than one operation is used in an expression (PEMDAS) • P – parentheses, brackets, fraction bars • E – exponents • MD – multiply & divide (left to right) • AS – add & subtract (left to right)

  4. Vocabulary • powers – represent repeated multiplication. • equation – a mathematical sentence that contains the equal sign • open sentence – an equation that contains a variable. • property – an open sentence that is true for any numbers • counterexample – a statement or example that shows a conjecture is false.

  5. Evaluate a Numerical Expression • Evaluate 3 + 9 – 2 x (8÷2).

  6. Evaluate a Numerical Expression • Evaluate 8 + 5 x (12 – 6 ÷ 3).

  7. Evaluate Algebraic Expressions Evaluate each expression if q=5, r=6, & s=3 • 3r + 2s – 4

  8. Evaluate Algebraic Expressions Evaluate each expression if q=5, r=6, & s=3 **fraction bar – acts as grouping tool (rewrite) • 6q 3r – 3

  9. Identify Properties Name the property shown by: 1. 12∙1 = 12 • 3(2+5) = 3∙2 + 3∙5 • 5+(8+12) = (8+12)+5 • 2(bc) = (2b)c

  10. Find a Counterexample • The sum of an odd number and an even number is always odd. • The sum of two odd numbers is always odd. • an example that shows that a conjecture is false • it only takes one counterexample to prove that a statement is false

  11. Assignment • Pgs. 14-15 (14-48e) • 1-2 Word Problems (ec)

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