Quiz Discussion

Title: Linear Equations with One Variable

Grade: 1400-a Lesson: S1-L1

Explanation: Let us discuss a few questions on this topic and review the answers to every question.

Quiz: Discussion in Class

Problem Id Problem Options

Steps 1

Solve the equation: 5(2x - 3) = 7x + 2.

A) \$ 13/3\$

B) \$ 18/7\$

C) \$ 17/3\$

D) \$ 21/16\$

Steps 2

A certain product costs a company $65 to make. The product is sold by a salesperson who earns a commission that is equal to 20% of the sales price of the product. The profit the company makes for each unit is equal to the sales price minus the combined cost of making the product and the commission. If the sales price of the product is $100, which of the following equations gives the number of units,u, of the product the company sold to make a profit of $6,840?

A) (100(1-0.2)-65)u = 6,840

B) (100-65)(1-0.8)u = 6.840

C) 0.8(100)-65u = 6,840

D) (0.2(100)+65)u = 6,840

Steps 3

Hector used a tool called an auger to remove corn from a storage bin at aconstant rate. The bin contained 24,000 bushels of corn when Hector began touse the auger. After 5 hours of using the auger, 19,350 bushels of corn remainedin the bin. If the auger continues to remove corn at this rate, what is the totalnumber of hours Hector will have been using the auger when 12,840 bushels ofcorn remain in the bin?

A) 3

B) 7

C) 12

D) 8

Steps 4

Solve the equation: 2(3x - 1) = 5(2x + 4) - 3.

A) \$18/4\$

B) \$-18/4\$

C) \$19/4\$

D) \$-19/4\$

Steps 5

How many solutions does the equation \$21(5y - 1) = 7(15y - 33)\$ have?

A) Zero

B) Exactly one

C) Exactly two

D) Infinitely many


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