Unit 1 Lesson 2 Quiz

Solve: 3x - 10 + 4x = -2*(x - 4) + 9.

Solve: (1/2)*(n - 4) - 7 = -2n + 6.

Classify the equation 4x + 6 = 2*(2x + 3) as “identity,” “no solution,” or “one solution.” Explain briefly.

• Identity

• No solution

• One solution

Classify the equation 6x - 5 = 2*(3x + 4) as “identity,” “no solution,” or “one solution.” Explain briefly.

• Identity

• No solution

• One solution

Movie theaters share 3 tubs of popcorn. CostA = 14.5n + 17.25, CostB = 13n + 20.25. a) For what n are the costs equal? b) Which theater is cheaper for n = 1? for n = 3?

Coffee blend: Arabica $28/lb, Robusta $8.75/lb, use 3 lb Robusta to make a $15.50/lb blend. Let a = Arabica pounds. Write the equation and solve for a (to two decimals).

Music plans: Current cost = 0.95s. New cost = 0.89s + 12. a) Find the break-even number of songs s. b) Should Cameron switch if he expects to buy 250 songs? Why?

Catch-up: 4*(h - 0.5) = 3*h. Solve for h and state the meaning (units).

Bowling equality: For g games, Family cost = 4g + 1 and Knight Owl cost = 3.75g + 2. Find g when the costs are equal.

Determine whether the equation t - 27 = -(27 - t) is an identity, has no solution, or has one solution. Justify.

• Identity

• No solution

• One solution