Writing Expressions
Solving Expressions
Distributive Property
Equivalent Expressions
Word Problems
100

A pizza costs $12, plus $1.50 for each additional topping, t. Write an expression for the total cost of a pizza with toppings.

12 + 1.5t

100

Evaluate when x = 3
2x + 5 (x−1) 

2(3) + 5 (3−1)

= 6 + 10 = 16

100

Use the distributive property to rewrite the expression:5(x+3)+2x 

7x+15

100

Combine like terms:

2𝑦 + 5 + 3𝑦 + 7 + 4x + 6x


10x + 5y + 12

100

Jordan earns $15 per hour at his job and worked 6 hours last Saturday. Then he spent $18 on lunch and supplies.

Write and solve an expression to find how much money he had left from that day.

15 × 6 − 18

= $72 

200

A farmer is planting rows of vegetables. He plants 6 more than 3 times the number of rows he planted last season, r. Write an expression for the total number of rows this season.

3r + 6 

200

Evaluate when a = 2 and b=4:
3a+ 2b − 4  

3 (22) + 2(4) - 4

= 3 (4) + 8−4 

= 12 + 8 − 4

= 16

200

12x+18y+6

6(2x+3y+1)

200

Use the distributive property and combine like terms to simplify:
2 (3x + 4) + 4x + 5

10x + 13

200

A school buys x boxes of markers. Each box has 12 markers. After giving away 18 markers, the school has 90 left.

Write and solve an equation to find how many boxes were purchased.

12x − 18 = 90

x = 9 

300

Lena has d dollars. She spends $8 and then earns twice the amount of money she had left. Write an expression for how much money she has now.

2(d - 8)

300

Evaluate when a = 3 b= 2


4a− 3b + 2(a + b)2

= 4(9) − 6 + 2(5)2 

= 36 − 6 + 2 (25)

= 30 + 50 

= 80

300

3(2x+4)−(x+6)

5x+6

300

Are the expressions 5 (12x - 6y + 3) − 12x + 13y - 3 and 

12 (4x - 3y + 1) equivalent? Justify by simplifying.

60x - 30y + 15 - 12x + 6y - 3

= 48x - 24y + 12

= 12 (4x - 2y + 1)

No, they are not equivalent.

300

A factory produces x machines per day. After operating for 5 days, they shipped out 30 machines and still had 45 left.


Write and solve an equation to find how many machines they produce each day.

5x − 30 = 45
5x = 75
x = 15

400

A company produces electronics. The number of units produced in a week is 3 times the number of employees, e, plus 40. If 1/5 of the units are defective, write an expression for the number of working units produced.

4/5(3e + 40)

400

Evaluate when x= 2 y= −3
5(x−y)− 4xy + 3y

5(2 − (−3))− 4(2)(−3) + 3(−3)

=5(5)2 + 24 − 9

= 125 + 24 − 9

= 140

400

Apply the distributive property and combine like terms to simplify the expression:
2(3x + 4) + 3(x−2) − (x+5)

8x−3 or 8x + -3

400

Make expression by applying the distributive property, combining like terms, and factoring completely:

13 (2x + 4) + 22 (5x − 6) − 5 (4x + 2)

13 (2x + 4) = 26x + 52

22 (5x − 6) = 110x − 132

−5 ( 4x + 2 ) = − 20x − 10

26x + 110x − 20x = 116x

52 − 132 − 10 = −90

116x − 90

400

After spending $15 on lunch, Kira has $5 less than twice the amount her friend Maya has.
Write and solve an equation to find how much money Maya had if Kira started with $43.

43 − 15 = 2m − 5
28 = 2m − 5
33 = 2m
m=16.5

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