Section 33.3 Deliberate Practice: Basic Word Problems
Algebra is a skill, which means it requires practice to become proficient. But it will take more than rote repetition to get there. Deliberate practice is the thoughtful repetition of a task. For each of these sections, you will be given a list of specific skills or ideas to focus on as you practice thinking through the problems.
Focus on these skills:
Define your variables.
Write the equation or equations that represent the given mathematical relationship or relationships.
Present your work legibly.
Worksheet Worksheet
Instructions: Answer the question.
1.
Kai and Ama are math tutors. Kai has 12 clients, and Ama 5 has more clients that Kai. How many clients does Ama have?
2.
Kai and Ama are math tutors. Kai has 7 clients, which is 3 fewer than Ama. How many clients does Ama have?
3.
Kai and Ama are math tutors. Kai has 7 clients, and Ama has four fewer clients than Kai. How many clients do they have in total?
4.
Martin and Sylvia have each have marbles in their pockets. Sylvia has 7 more marbles than Martin, and Martin has 9 marbles. How many marbles does Sylvia have?
5.
Martin and Sylvia have each have marbles in their pockets. Sylvia has 5 fewer marbles than Martin, and Martin has 8 marbles. How many marbles does Sylvia have?
6.
Martin and Sylvia have each have marbles in their pockets. Together, they have 22 marbles. Sylvia has 2 more marbles than Martin. How many marbles do they each have?
7.
Leonard and Carlos are having a pickle-eating contest. Carlos ate three fewer pickles than Leonard. Carlos managed to eat five pickles. How many pickles did they eat in total?
8.
Leonard and Carlos are having a pickle-eating contest. Carlos ate three more pickles than Leonard. In total, they ate 11 pickles. How many pickles did they each eat?
9.
A food box program costs $30 per month if you pay as you go, but if you pay for a year's worth of boxes up front, they will give you two months for free. What is your average monthly discount for paying in advance?
10.
A food box program costs $30 per month if you pay as you go, but if you pay for a six months at a time, you get two points towards their bonus program. If you get ten bonus points, they will give you a free box. How long will it take to earn a free box?