Algebra

Writing Expressions

100

Write an expression for: "five less than four times a number"

4x - 5

200

Write an expression for: "the quotient of a number and 6, increased by 2"

x ÷ 6 + 2

300

Write an expression for: "three times a number decreased by 11"

3x - 11

400

Write an expression for: "the sum of a number and 9, then multiplied by 2"

2(x+9)

500

Write an expression for: "half of a number plus 7, the multiplied by 3"

3(x ÷ 2 + 7)

Solve for x

100

x - 6 = 11

x = 17

200

6x = 54

x = 9

300

2x + 9 = 25

x = 8

400

7x - 5 = 30

x = 5

500

4x + 3 = 2x + 15

x = 6

Combing Like Terms

100

Simplify: 3x + 5x

8x

200

Simplify: 6x - 2x + 4

4a + 4

300

Simplify: 9x + 3 - 4x + 7

5x + 10

400

Simplify: 4x + 3y + 2x - y

6x + 2y

500

Simplify: 7x + 2y - 3x + 5y - x

3a + 7b

Order of Operations

100

3 + 4 * 2 = x

x = 11

200

(5+3)² = x

x = 64

300

18 ÷ 3 + 4 * 2 = x

x = 14

400

12 - 2(3 + 1) = x

x = 4

500

6 + 2³ * 2 = x

x = 22

Evaluating Expressions

100

Evaluate when x = 3: x+7

10

200

Evaluate when x = 5: 3x-2

13

300

Evaluate when x = 4: 2x²

32

400

Evaluate when x = 2 and y = 6: 3x+2y

16

500

Evaluate when x = 3 and y = 4: 2x²+3y

30