Distribute & Simplify Showdown!

Distribute Only

100

Simplify: 2(x + 3)

2x + 6

200

Simplify: 3(2x – 1)

6x – 3

300

Simplify: –4(x – 5)

–4x + 20

400

Simplify: 5(3x + 2)

15x + 10

500

–6(4 – x)

–24 + 6x

Combine Like Terms

100

3x + 4x

7x

200

Simplify: 10 – 4 + 3

9

300

Simplify: 5x – 2x + x

4x

400

–3x + 8x – 9

5x – 9

500

12 – 3x + 7x – 15

4x – 3

Both Steps

100

2(x – 3)+4

2x – 2

200

Simplify: 2(3x+1) – 5

6x – 3

300

Simplify: 4(2x+3) + x

9x + 12

400

Simplify: 5(3 – x) + 2x

15 – 3x

500

–3(2x + 5)+4x

–2x – 15

Negative Distributors

100

Simplify: –2(3x+1)+6

–6x + 4

200

Simplify: –3(x – 4)

–3x + 12

300

Simplify: –2(6 – 3x)

–12 + 6x

400

Simplify: –5(x + 2) – 3x

–8x – 10

500

Simplify: –2(6 – 3x) – 5x + 1

x – 11

Challenge Round

100

True or False: 2(x+4) = 2x+8

True

200

A student simplifies –3(x + 2) as –3x + 2. What mistake?

Didn’t apply –3 to the +2

300

Find the value when x = 3: 4(2x – 1)

4(6 – 1) = 20

400

Expression A = 3x – 2x + 5. Expression B = 2(x + 2) – x. Are they equal?

Yes, both equal x + 5

500

Write an expression that needs distributing AND combining like terms and simplifies to 5x – 4

2(x – 1) + 3x – 2