<p>Fundamentals of Math Name </p><p>A.15 Using Algebraic Equations Date Period </p><p>Go to explorelearning.com and work on the gizmo “Using Algebraic Equations” When you have finished 10 problems, answer ALL of the questions below:</p><p>1. For the problem a +7 = 1 , what choices could you make for each of the following? (you may circle more than one!) - “a” a) a variable b) a number c) neither a nor b - “+” a) plus b) minus c) increased by d) decreased by 2. For the problem 6�k 0 , what operation are we doing? a) addition b) subtraction c) multiplication d) division 3. What of these problems have phrases that might be used to imply addition ? a) 3 more than a number is 8 b) a number increased by 5 is 11 c) six plus a number is 10 4. What of these problems have phrases that might be used to imply subtraction ? a) 3 fewer than a number is 8 b) a number decreased by 5 is 11 c) six minus a number is 10</p><p>1. In the equation 5 + p = 7, what is the English translation of the variable, p? </p><p> o A. is equal to</p><p> o B. plus</p><p> o C. a number</p><p> o D. decreased by o 2. If you formed an algebraic equation to model the sentence, three times a number is equal to nine, how many variables would be in the equation? </p><p> o A. 1</p><p> o B. 2</p><p> o C. 3</p><p> o D. 5 3. Which of the following algebraic equations models the English sentence, a number decreased by two is equal to four? </p><p> o A. w + 2 = 4</p><p> o B. 2 − w = 4</p><p> o C. w − 2 = 4</p><p> o D. w = 2 − 4 4. Which of the sentences below could represent 4 ÷ p = 2? </p><p> o A. Four divided by two is equal to a number.</p><p> o B. Four divided by a number is equal to two.</p><p> o C. A number divided by four is equal to two.</p><p> o D. Four times a number is equal to two. 5. Which algebraic equation models the English sentence, a number subtracted from 8 is equal to 4? </p><p> o A. 8 − x = 4</p><p> o B. x − 8 = 4</p><p> o C. 8 − 4 = x</p><p> o D. x − 4 = 8</p><p>Write the following algebraic expressions using Words! 6. x +3 = 12 7. x -4 = 10 8. 3x + 9 = 21</p><p>Explain what you need to do to both sides to solve for x: then show your work and solve.</p><p>For example: x -9 = 5 ADD 9 to both sides +9 + 9 IMPORTANT: notice how the 9’s “cancel out”- ______This is called a “zero pair” x =14</p><p>9. x -21 = 4 10. x +15 = - 5 11. x -7 = 19</p>