Topic 5 - Solve Problems Using Equations and Inequalities

Which description represents the equation 7x - 2 = 33?

• Two times the quantity of seven less than a number equals thirty-three.

• Seven less than two times a number equals thirty-three.

• Two less than seven times a number equals thirty-three.

• Seven times two minus a number equals thirty-three.

Dylan bought 3 identical shirts online for a total cost of $71.83 including a flat rate of $7.99 for shipping. Write an equation to find the cost of each shirt, s.

​ ​​ (a)   s + ​ (b)   = ​ (c)  

• 3
• 7.99
• 71.93
• s

Select all the equations that are equivalent. (Hint: there are 4 answers)

• 52 = 8n + 4

• 4(2n + 1) = 52

• 4 = 52 - 8n

• 4n = 48

• n = 6

Miguel rode his bicycle 4 miles less than 5 times the number of miles that Nathan rode. If Miguel rode his bicycle 6 miles, how many miles did Nathan ride? (Hint: Use the equation "5n - 4 = m")

• 2 miles

• 10 miles

• 19 miles

• 26 miles

Four more than half of the students in Bryan’s homeroom have tickets to attend the school’s musical. 20 students have tickets. Select the equation that can be used to find the number of students in Bryan’s homeroom, m.

A music store orders wooden drumsticks that weigh 96 grams a pair. The total weight of the box of drumsticks is 782 grams. How many pairs of drumsticks are in the box if the empty box weighs 206 grams?

(Hint: use the equation "96x + 206 = 782")

Mathematical Equivalence

ON

What is the solution to the equation -5(s - 30) = -10?

• s = -4

• s = 8

• s = 28

• s = 32

Use the Distributive Property to solve the equation 3(x + 4) = 36.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Select all the inequalities that can be solved using only the Addition Property of Inequality.

• w - 4 > -10

• -3.25 < x - 9.75