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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Powers/Exponents and Operations

 Background Integers = {..., -3, -2, -1, 0, 1, 2, 3, ...} Addition Rules Same signs: Add the absolute values and use the common sign. Different signs: Subtract the lesser absolute value from the greater absolute value. Use the sign of the number with the greater absolute value. Subtraction Rule To subtract an integer, add its opposite. Multiplication and Division Rules Same signs: The product/quotient is positive. Different signs: The product/quotient is negative. Warm-Up matches -3 â€œThe gray squares represent negative integers and the white squares represent positive integers. has a greater absolute value, so the answer is negative. And so the answer is â€ Warm-Up 2 - (-3 ) matches 5. â€œWhen you add the opposite, you have 2 + 3 = 5.â€ Warm-Up 3(-4) matches -12 â€œThe signs are different, so the answer will be negative. Because 3 Ã— 4= 12, the answer is -12.â€

 BackgroundAn exponent represents the number of times a base is used as a factor. An exponent of 2 is the second power; an exponent of 3 is the third power. In the expression -32, only the 3 is raised to a power, so -32 = -9. The expression (-3)2 = (-3)(-3) = 9. Warm-Up -52 matches -25. â€œOnly the 5 is being squared, so the answer is -25.â€

## Order of Operations

 BackgroundYou use order of operations to evaluate an expression that has more than one operation: 1. Evaluate expressions inside grouping symbols. 2. Evaluate powers. 3. Multiply and divide from left to right. 4. Add and subtract from left to right. Warm-Up -8 - (-6) + 4 matches 2. â€œSubtraction is done first, so -8 - (-6) is -8 + 6, which equals -2. Then add -2 + 4, which is 2.â€

## Distributive Property

 Background Warm-Up 5(6 + 8) matches 5(6) + 5(8). â€œDistribute the 5, and the answer is 5 times 6 plus 5 times 8.â€ Distributive Property a(b + c) = ab + ac a(b - c) = ab - ac Examples6(8 + 5) = 6(8) + 6(5) 7(9 - 4) = 7(9) - 7(4)