Page 96 - Math Course 1 (Book 1)

Algebra: Problem-Solving

Using Inductive Reasoning to Solve Problems

1. Find the next term in 48, 43, 38, 33, 28, … 2. Draw the next f gure in the pattern.

A. 21
B. 22
C. 23 A. C.
D. 24

B. D.

MO. 3 - L1b
Four-Step Plan: Solve Step 3: Solve

Real World Problems Because we can estimate, let’s round the
numbers up or down:

Distance from Earth to the Sun: 92.90 93
Let’s Begin Distance from Mercury to the Sun: 36.00 36
Subtract 36 from 93 93 – 36 = 57

Step 4: Evaluate
REAL WORLD EXAMPLE
Earth is about 57 million miles
PLANETS Answer further from the Sun than
Mercury.
The chart shows the distance
of selected planets from the Sun.
About how much farther is it from Earth to the Check your answer:
Sun than from Mercury to the Sun? (distance of Mercury from the Sun) + difference

Distance from Sun = (distance of Earth from Sun) 36 + 57 = 93 so
Planet the answer makes sense.
(millions of miles)
Mercury 36.0
Your Turn!
Venus 67.24
Earth 92.9
Mars 141.71 Using a 4 Step Problem-Solving Plan
Step 1: Explore School Enrollment
You know the distance from Earth to the Sun East Elementary School has
and the distance from Mercury to the Sun. 792 students enrolled.
West Elementary School has
You need to f nd about how much farther it is 518 students enrolled.
from Earth to the Sun than from Mercury to the
Sun. About how many more students does East
Step 2: Plan Elementary have than West Elementary?
The question uses the word about, so an exact A. 270
B. 220
answer is not needed. C. 200
D. 150
We can solve the problem using estimation.
Estimate each distance and then subtract. Answer

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