A.15 Using Algebraic Equations Date Period
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Fundamentals of Math Name
A.15 Using Algebraic Equations Date Period
Go to explorelearning.com and work on the gizmo “Using Algebraic Equations” When you have finished 10 problems, answer ALL of the questions below:
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
1. In the equation 5 + p = 7, what is the English translation of the variable, p?
o A. is equal to
o B. plus
o C. a number
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?
o A. 1
o B. 2
o C. 3
o D. 5 3. Which of the following algebraic equations models the English sentence, a number decreased by two is equal to four?
o A. w + 2 = 4
o B. 2 − w = 4
o C. w − 2 = 4
o D. w = 2 − 4 4. Which of the sentences below could represent 4 ÷ p = 2?
o A. Four divided by two is equal to a number.
o B. Four divided by a number is equal to two.
o C. A number divided by four is equal to two.
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?
o A. 8 − x = 4
o B. x − 8 = 4
o C. 8 − 4 = x
o D. x − 4 = 8
Write the following algebraic expressions using Words! 6. x +3 = 12 7. x -4 = 10 8. 3x + 9 = 21
Explain what you need to do to both sides to solve for x: then show your work and solve.
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
9. x -21 = 4 10. x +15 = - 5 11. x -7 = 19