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Due: ___________________ Corrections Needed: Name: ___________________________ Math 70: Solving Linear Equations Where to look in your ALEKS pie: In the “Real Numbers and Linear Equations” slice, look at objectives relating to “Solving a two-step equation”, “Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions ”, and “Solving a ___ word problem …”. Directions: For Exercises 1-8, solve each equation. Box or circle your final solution. If your solution is a fraction, reduce it to lowest terms. Exercise 1: 7 13 7 5 w w 9 6 2 9 Exercise 2: 1 y 3 3 y 5 2 y 5 10 5 Exercise 3: 0.0625 0.27 x 0.34 x Exercise 4: 0.5 t 6 10.4 0.41 t Exercise 5: 9x 12 3x 2 x 8 5x Exercise 6: 5 x 3 25 5 2 x 4 12 3 Exercise 7: 5 72 3x 5 x 4x 9 Exercise 8: 2 xx 3 3x 2 1 8 5 x 2 1 Directions: For Exercises 9-10, answer each question by setting up and solving a linear equation. Make sure to define your variable (i.e., say what x stands for) and answer each question with a complete sentence. Exercise 9: The product of three and the sum of a number and two-fifths is four-fifths less than negative two times the number. Exercise 10: The quotient of three less than a number and three is the same as the quotient of one less than the number and four. Exercise 11: In Astoria, a Penske ® 26-foot moving truck rental costs $49.95 plus $0.59 per mile for 6 hours. The same truck from U-Haul ® costs $39.95 and $0.99 per mile for 6 hours. (a.) Write the expression for the total cost of using the Penske truck. (b.) Write the expression for the total cost of using the U-Haul truck. (c.) How many miles need to be driven so that the amount of the Penske truck and the U-Haul truck are the same?