Distributive Property
Combining Like Terms
PEMDAS
Word Problems
Algebra
100

3(4x+7)

12x+21

100

3x+5x+2

8x+2

100

8+2×5

18

100

Sarah is 5 years older than her brother. If her brother's age is x, write an expression for Sarah's age.

x+5

100

Solve for x:
3x+5=20

x=5

200

5(x+3)

5x+15

200

7a+3-2a+8

5a+11

200

(6+4)÷2×3

15

200

A shirt costs $x, and a pair of pants costs $y. If Maria buys 3 shirts and 2 pairs of pants. Write an expression to find the total amount she would pay.

3x+2y

200

Simplify the expression:
4x+2x−3+5

6x-8

300

18x+12

6(3x+2)

300

10y+3−4y+6+2y

8y+9

300

32+(5×2)−4

15

300

Katie has $50 in her account. She deposits $5 a week for x weeks. Write an expression to show the amount she would have.

50+5x

300

Distribute and simplify:
2(3x+4)

6x+8

400

4(2x-3y)

8x-12y

400

4m+6n−2m+3n

2m+9n

400

12÷(3+1)×2

6

400

A fruit stand sells apples for $2 each and oranges for $3 each. If you buy x apples and y oranges, write an expression for the total cost.

2x+3y

400

A number x is multiplied by 7, and the result is 35. What is the number?

x=5

500

45x-40

5(9x-8)

500

5x2+3x−2x2+7x+4

3x2+10x+4

500

7+3×(8−5)2÷3

16

500

Jason earns $15 per hour at his job. If he works x hours in a week, he also got a $50 bonus. Write an equation for the amount of money he would make.

15x+50

500

Solve the two-step equation:
5x−3=12

x=3