Grade 7 Algebra: Solve Equations & Evaluate Expressions

Maria has 3 times as many apples as John. If John has x apples, write an expression for the number of apples Maria has and solve for x if together they have 48 apples.

• John has 8 apples.

• John has 16 apples.

• John has 20 apples.

• John has 12 apples.

A movie theater charges $10 per ticket. If a group of friends buys tickets for x people, write an expression for the total cost and evaluate it for 5 people.

• 50

• 30

• 40

• 60

A rectangle's length is 4 more than its width. If the width is w, write an expression for the length and find the dimensions if the perimeter is 36 units.

• Width: 5 units, Length: 9 units

• Width: 7 units, Length: 11 units

• Width: 8 units, Length: 12 units

• Width: 6 units, Length: 10 units

Tom is 5 years older than his sister. If his sister is y years old, write an expression for Tom's age and find their ages if the sum of their ages is 25.

• Tom is 15 years old and his sister is 10 years old.

• Tom is 20 years old and his sister is 5 years old.

• Tom is 12 years old and his sister is 7 years old.

• Tom is 18 years old and his sister is 13 years old.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an expression for the total cost of renting a car for m miles and evaluate it for 100 miles.

• $70

• $90

• $50

• $100

The sum of three consecutive integers is 72. Write an equation to represent this situation and solve for the integers.

• 25, 26, 27

• 21, 22, 23

• 20, 21, 22

• 23, 24, 25

A store is having a sale where you can buy x items for $15 each. If you have a budget of $120, write an inequality to represent how many items you can buy and solve it.

• x <= 5

• x <= 10

• x <= 12

• x <= 8

A gardener is planting flowers in rows. If each row has 6 flowers and there are r rows, write an expression for the total number of flowers and evaluate it for 8 rows.

• 48

• 60

• 36

• 54

A book costs $12. If you buy x books, write an expression for the total cost and find the total if you buy 7 books.

• $96

• $60

• $84

• $72

A school is organizing a field trip. If each student pays $30 and there are s students, write an expression for the total amount collected and evaluate it for 25 students.

• 900

• 600

• 1200

• 750