Building and Solving Equations from Word Problems

You're viewing free preview questions — 4 questions previewing here — subscribe to unlock 81 more, plus the Full Question Bank, Mock Papers & Worksheets.Upgrade

Building and Solving Equations from Word Problems — Free MYP2 Mathematics Practice Questions

1QuestionCreating and Solving Multi-Step Word ProblemsConcept Practice

3 marks~5 minCriterion A

A taxi charges a fixed starting fee plus a cost per kilometre. The graph shows total cost

C

(in dollars) against distance

d

(in kilometres). The line passes through

(0,\ 5)

and

(10,\ 25)

Identify the starting fee and the cost per kilometre. [1]

Write an equation for

C

in terms of

d

. [1]

A rival company charges

C = 3d + 2

. Compare the cost of each company for a 10 km trip, showing your working. [1]

Solutions

2QuestionTranslating Word Problems into EquationsAssessment Practice

3 marks~5 minCriterion D

A plumber charges a fixed call-out fee plus an hourly rate. The graph of total cost

C

(dollars) against hours worked

h

passes through

(0,\ 50)

and

(4,\ 170)

Identify the

y

-intercept and state what it represents in this context. [1]

Calculate the slope of the line and state what it represents in this context. [1]

Write an equation for

C

in terms of

h

. Compare the cost of this plumber with a second plumber who charges no call-out fee but 35 dollars per hour, for a 6-hour job. State which plumber is cheaper. [1]

Solutions

3QuestionChecking Solutions in the Context of the ProblemConcept Practice

2 marks~3 minCriterion C

Tom has 50 dollars. He buys 3 notebooks, each costing

x

dollars, and receives 5 dollars in change. This situation is represented by:

3x + 5 = 50

A student claims each notebook costs

x = 15

dollars.

Calculate the value of the left-hand side of the equation when

x = 15

. [1]

Compare your result with the right-hand side and state whether the student's claim is correct. [1]

Solutions

4QuestionChecking Solutions in the Context of the ProblemAssessment Practice

6 marks~9 minCriterion B

A party planner uses the formula

C = 7n + 8

to estimate the total cost in dollars

C

for

n

guests.

Number of guests ( $n$ )	1	2	3	4
Total cost in dollars ( $C$ )	15	22	29	36

Calculate

C

using

C = 7n + 8

for each value of

n

in the table. State whether the formula matches all four values. [2]

Using

C = 7n + 8

, calculate the total cost for 10 guests. Explain whether this result is reasonable for a real-world party. [2]

The planner later finds the actual costs are:

(1, 14)

(2, 21)

(3, 28)

(4, 35)

. Identify the correct formula and explain how you found it. [2]

Solutions

Questions 5-85

Unlock these questions with Premium

That's every free question here — 4 of 85.

+81 more questions, plus Mock Papers & Worksheets, are waiting in Premium.

Upgrade