Homework Explained - Math Practice 101

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Chapter 7: Solving Linear Equations; Mixed Review

Selected Response

• Question 1

Two cars are traveling in the same direction. The first car is going 40 mi/h, and the second car is going 55 mi/h. The first car left 3 hours before the second car. Which equation could you solve to find how many hours it will take for the second car to catch up to the first car?

• $$55\text{t} + 3 = 40\text{t}$$
• $$55\text{t} + 165 = 40\text{t}$$
• $$40\text{t} + 3 = 55\text{t}$$
• $$40\text{t} + 120= 55\text{t}$$
• Question 2

Which linear equation is represented by the table?

• $$\text{y} = -\text{x} + 5$$
• $$\text{y} = 2\text{x} - 1$$
• $$\text{y} = \text{x} + 3$$
• $$\text{y} = -3\text{x} + 11$$
• Question 3

Shawn’s Rentals charges $27.50 per hour to rent a surfboard and a wetsuit. Darla’s Surf Shop charges$23.25 per hour to rent a surfboard plus $17 extra for a wetsuit. For what total number of hours are the charges for Shawn’s Rentals the same as the charges for Darla’s Surf Shop? • 3 • 4 • 5 • 6 • Question 4 Which of the following is irrational? • -8 • 4.63 • $$\sqrt{11}$$ • $$\cfrac{1}{3}$$ • Question 5 Greg and Jane left a 15% tip after dinner. The amount of the tip was$9. Greg’s dinner cost \$24. Which equation can you use to find x, the cost of Jane’s dinner?

• $$0.15\text{x} + 24 = 9$$
• $$0.15(\text{x} + 24) = 9$$
• $$15(\text{x} + 24) = 9$$
• $$0.15(\text{x} = 24 + 9$$
• Question 6

For the equation $$3(2\text{x} - 5) = 6\text{x + k}$$, which value of k will create an equation with infinitely many solutions?

• 15
• -5
• 5
• -15
• Question 7

Which of the following is equivalent to $$2^{-4 }$$?

• $$\cfrac{1}{16}$$
• $$\cfrac{1}{8}$$
• -2
• -16