Question

write an equation for each problem. then, solve the equation.

1. ruben read 37 pages in his history book over the weekend. he read 21 pages on saturday. how many pages did he read on sunday?

______________________ he read ____ pages on sunday.

1. the garcias ate 9 pieces of toast for breakfast. if there are 33 slices of bread left, how many slices were in the loaf of bread?

______________________ there were ____ slices in the loaf of bread.

1. in a 25 - kilometer triathlon, competitors swim 2 kilometers, run 5 kilometers, and bike the rest. how far do they bike?

______________________ they bike ____ kilometers.

Explanation:

Problem 13

Step1: Define variable and equation

Let \( x \) be the pages read on Sunday. Total pages (\( 37 \)) = Saturday pages (\( 21 \)) + Sunday pages (\( x \)), so equation: \( 21 + x = 37 \).

Step2: Solve for \( x \)

Subtract \( 21 \) from both sides: \( x = 37 - 21 \).
\( x = 16 \).

Step1: Define variable and equation

Let \( x \) be total slices. Total slices (\( x \)) = eaten slices (\( 9 \)) + left slices (\( 33 \)), so equation: \( x - 9 = 33 \).

Step2: Solve for \( x \)

Add \( 9 \) to both sides: \( x = 33 + 9 \).
\( x = 42 \).

Step1: Define variable and equation

Let \( x \) be biking distance. Total triathlon (\( 25 \)) = swim (\( 2 \)) + run (\( 5 \)) + bike (\( x \)), so equation: \( 2 + 5 + x = 25 \).

Step2: Solve for \( x \)

Simplify left: \( 7 + x = 25 \). Subtract \( 7 \): \( x = 25 - 7 \).
\( x = 18 \).

Answer:

Equation: \( 21 + x = 37 \); He read \( 16 \) pages on Sunday.

Problem 14