Expressions and Equations

Mathematical Properties

100

What property is shown?

8 (x + 12) = 8x + 8(12)

Distrubutive Property

200

What property is shown? 

9 x (4 x 3) = (9 x 4) x 3

Associative Property

300

What property is shown? 

x + y = y + x

Commutative Property

400

What property is shown? 

m + 0 = m

Identity Property

500

What property is shown? 

9 x 0 = 0

Zero Property of Multiplication

Expressions

100

How many terms are in the expression below? 

3x + 12 + y + 7x + 5

5 terms

3x, 12, y, 7x, 5

200

What are the coefficients in the following expression? 

8y + 15 + 2y

8, 2

300

Write an expression to represent the following situation.

7 less than y

y - 7

400

Simplify the expression.

6y - 9 + 7y

13y - 9

500

Simplify the expression.

7a + 14 + 13a - 2

20a + 12

Equations

100

Write an equation to represent the information. 

Eli bought 4 energy drinks for x dollars each. He spent a total of $17. 

4x = 17

200

Solve:

5y = 42

y = 8.4

300

Solve.

y/9 = 15

y = 90

400

Solve.

8 + 9 x (10 - 3)

71

500

Solve. 

x + 6.5 = 24

x = 17.5

Inequalities

100

Write an inequality to describe the situation.

You must be a maximum of 42 inches tall to ride the kiddie rides at Six Flags.

x is less than or equal to 42

200

Write an inequality to describe the situation.

The school band raised more than $1,250 at their fundraiser. 

x > $1,250

300

Solve.

8y > 52

y > 6.5

400

Solve. 

x + 24 < 92

x < 68

500

Solve.

m/4 < 12

m < 48

Word Problems

100

Margo bought 3 drinks for x dollars each and a plate of nachos for $6 at the movies. She spent $18 total. Write an equation to represent the situation. 

3x + 6 = $18

200

DOUBLE POINTS!!!

Diego had some money. He spent $34. He now has $28. WRITE AN EQUATION and SOLVE for how much money Diego started with. 

x - 34 = 28

x = $64

300

DOUBLE POINTS!!!

Write an equation and solve.

Lea made brownies to share with her 12 friends. If each friend got 3 brownies, how many total brownies did she make. 

b/12 = 3    OR    b/3 = 12

b = 36 brownies

400

DOUBLE POINTS!!!

Write an equation and solve. 

Mandy wants to rent a bike at the beach. The rental fee is $15 per hour. If she spends $75, how many hours did she rent the bike for? 

15h = 75

h = 5 hours

500

DOUBLE POINTS!!!

Write an equation and solve.

Zay had some Pokemon cards. He gave half of them away. Now he has 138 Pokemon cards. How many cards did he start with? 

x/2 = 138    OR    1/2(x) = 138

x = 276