Scholar Zone Summer Math | Grade 7 Teacher's Guide

Writing Equations

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Date

Name

Date

A Sticky Situation

Balancing Act

Writing Equations

Write an equation for each statement.

In 1955, George D. Mestral invented a product that most Americans since then have used at one time or another. What is this product?

Answer:

1. A number w increased by 2.5 is equal to 3.8. ____________________________

3 × 12 = n 12 + 3 = n 16 − 12 = n 12 ÷ 3 = n 36 ÷ 3 = n 12 − 4 = n 3 × 12 = n 12 + 3 = n 16 − 12

12 ÷ 3 = n 36 ÷ 3 = n 12 − 4 = n

2. The difference between a number y and 82 is 47. ____________________________

To answer the question, write an equation for each problem. Then write the letter of the problem in the space above its equation. Let n stand for the missing numbers.

3. A number n divided by 0.5 is equal to 2. ____________________________

4. The product of a number k and _3__

_7__ 8 . ____________________________ 8 is 1

_7__ 8 . ____________________________

8 is 1

L. Joe had to complete 12 math

E. Tyrell can run a mile in 12 minutes. It takes his friend Ryan 3 minutes longer to run a mile. How long does it take Ryan to run a mile?

problems for homework. He copied his assignment incorrectly and completed 16 problems. How many extra problems did he do?

5. The quotient of a number z and 175 is 25. ____________________________

6. The sum of 1,231 and a number b is equal to 2,342. ____________________________

C. Danielle is selling wrapping paper to raise money for her class. The class will reach its goal if everyone sells 12 rolls. Danielle plans to reach this goal if she sells 3 rolls of paper per day. How many days will it take her to sell the wrapping paper? V. Marina is helping her teacher by cutting out circles for a class activity. There are three groups of students and each group needs a dozen circles. How many circles does Marina need to make?

O. Mike lost some of the pieces of his checkers set. He now has only 12 pieces, including 4 four red ones. How many black pieces does he have?

7. A number d multiplied by 64 is 960. ____________________________

8. A number 4,050 divided by a number x equals 81. ____________________________

9. Fifteen is equal to a number m divided by 75. ____________________________

Learn A baker bought 5 cart He used 12 eggs to ma How many eggs were 5 y – 12 = 18 5 y – 12 + 12 = 18 + 12 5 y = 30 5 y ÷ 5 = 30 ÷ 5 y = 6

R. Marie and her two cousins are

planning refreshments for a family gathering. They need 3 dozen cupcakes. How many cupcakes should each girl bake if they are to bake the same amount?

10. A number v increased 160 times is equal to 1,760. ____________________________

There were 6 eggs in e at first.

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1. Understand

Writing Equations/ Word Problems

Name

Date

Name

Date

Learn A baker bought 5 cart He used 12 eggs to ma How many eggs were 5 y – 12 = 18 5 y – 12 + 12 = 18 + 12 5 y = 30 5 y ÷ 5 = 30 ÷ 5 y = 6 There were 6 eggs in e at first. x × 3 = 3 × 3 x = 9 Kristin bought a roll of and 8 meters of blue r altogether. How long w 1 3 x + 8 = 11 1 3 x + 8 – 8 = 11 – 8 1 3 x = 3 1 3

A Big Group

Identifying Properties

Give Y a Try!

Write an algebraic equation to represent and solve each problem. Solve three problems in a row to get Tic-Tac-Math!

The largest of all animal groups includes insects, arachnids (spiders),

and crustaceans (lobsters and shrimp). What is the name of this animal group?

Harold’s dad is 3 times his age. The sum of Harold’s age and his father’s age is 60 years. How old is Harold? How old is his dad?

A rectangle’s length is y cm. Its width is 2 cm. The perimeter is 10 cm. Find the rectangle’s width.

A rectangle’s length is y cm. Its width is 5 cm. Its perimeter is 34 cm. Find the length of the rectangle.

Answer:

12345678910

1. Understand The roll of red ribbon w

To answer the question, match the equations with the properties they demonstrate. Write the letter of the property in the space above the equation number.

1. Understand

7 × 0 = 0

Harlan’s dad is 3 years more than 4 times Harlan’s age. The difference in their ages is 30 years. How old is Harlan? How old is his dad?

Ella is twice Bella’s age, and Stella is three times

Oriana is 5 years older than her brother Francisco. The sum of their ages is 27. How old is each child?

Properties T. Commutative Property of Addition P. Associative Property of Addition D. Zero Property of Addition A. Zero Property of Multiplication O. Commutative Property of Multiplication R. Associative Property of Multiplication S. Distributive Property H. Property of One

(7 × 3) × 4 = 7 × (3 × 4)

Bella’s age. The difference between Stella’s and Bella’s ages is 8 years. How old is each girl?

21 + 8 = 8 + 21

1 3

x + 8 = 11

1 3 x + 8 – 8 = 11 – 8

10 × 1 = 10

1 3

x = 3

(9 × 6) × 2 = 9 × (6 × 2)

1 3

x × 3 = 3 × 3 x = 9

3 × 5 = 5 × 3

Ty, Malcolm, and Fred were playing basketball. Malcolm made 2 more baskets than Ty, and Fred made 4 more than twice the number that Ty made. Together, the boys made 42 baskets. How many baskets did each boy make?

Janet bought 3 dozen donuts from Delectable

Sally has twice as many hair ribbons as Natasha. Bethany has 3 less than Sally. The sum of all three girls’ ribbons is 32. How many hair ribbons does each girl have?

(3 + 9) + 4 = 3 + (9 + 4)

Donuts. She bought 3 times as many honey-dipped as plain. She bought 6 fewer chocolate-frosted than honey-dipped. How many of each did she buy?

The roll of red ribbon w

106 × 4 = 4 × 106

1. Understand

12 + 0 = 12

9 × (4 + 8) = (9 × 4) + (9 × 8) 10

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Student Handbook, pages 54, 55, 57, 60

Grade 7 I Teacher’s Guide 65

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