Question 1(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $35 to come to his house and $50 for every hour they work. If the plumber charges Jerald a total of $190, how many hours did the plumber work?
Write and solve an equation to determine the number of hours worked by the plumber.
50x + 35 = 190; x = 3.1 hours
50x − 35 = 190; x = 4.5 hours
35x + 50 = 190; x = 4 hours
35x − 50 = 190; x = 6.9 hours
Question 2(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Write and solve an equation that represents the following math sentence.
Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5.
24 = 10.5 + 4.5m; m = 60.75
24 = 10.5 + 4.5m; m = 3
24 equals 10.5 plus m over 4.5; m = 3
24 equals 10.5 plus m over 4.5; m = 60.75
Question 3(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Write 'five more than three times a number equals 21' as an equation.
3x + 5 = 21
5x + 3 = 21
3x(5) = 21
5x(3) = 21
Question 4(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Three friends ate at a restaurant. They ordered nachos for $19.95 and jalapeno poppers. Each friend paid $9.73, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.
$6.65
$9.24
$18.48
$29.19
Question 5(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
Write an equation for the following math sentence.
One third times the difference of thirty and a variable is three fourths.
one third times the quantity 30 minus y equals three fourths
one third times the quantity y minus 30 equals three fourths
one third times 30 minus y equals three fourths
one third times y minus 30 equals three fourths
Question 6 (Essay Worth 4 points)
(Writing Two-Step Equations HC)
Warren is building shelves for his 3-D printed model collection. He has a piece of wood that is 4.5 feet long. After cutting five equal pieces of wood from it, he has 0.7 feet of wood left over.
Part A: Write an equation that could be used to determine the length of each of the five pieces of wood he cut. (1 point)
Part B: Explain how you know the equation from Part A is correct. (1 point)
Part C: Solve the equation from Part A. Show every step of your work. (2 points)
