Algebraic Expressions Brenda

Vocab

100

Identify the variables in the following algebraic expression: 7x + 2y - 2.3 + 9a

x, y, and a

200

Identify the coefficients in the following algebraic expression: 9p + 2 + q - 1

9

300

Identify the constant term in the following algebraic expression: 2d + 9.2 + 12t

9.2

400

How many terms are in the expressions: 

9j + 4k - 7 + 2p - 7x

5

500

After the following algebraic expression is simplified, how many terms will it have:

9b + 7b + 4 - 16b - d + 4c - 12 + c

3 terms

Writing Expressions

100

Write an algebraic expression to model the following situation: Total cost for m muffins and d donuts, if muffins cost $3.20 each and donuts cost $2.95 each.

3.2m + 2.95d (or 2.95d + 3.2m)

200

Jaden is j years old. Axel is 4 years younger than Jaden. Write an expression to indicate how old is Axel in terms of j?

j - 4

300

Write an algebraic expression to model the following situation: Jeremiah has $45 in his bank account, and he buys x candy bars for $1.50 each.

45 - 1.5x

400

Write an algebraic expression in simplest form to model the following situation: Keen and Cydnee were putting their saved money together to buy a bike. Keen had -12m + 6 dollars and Cydnee had 9(2 + 5m) dollars. How much do they have total?

(-12m + 6) + 9(2 + 5m)

(-12m + 6) + 18 + 45m

33m + 24

500

Write an algebraic expression in simplest form to model the following situation: The distance between Piper and Dakari, if in an hour Piper ran a distance of 14m + 16 miles and Keen ran a distance of 5m + 30 miles

(14m + 16) - (5m + 30)

(14m + 16) + (-5m - 30)

9m - 14

Translate

100

Write an algebraic expression to model the following situation: 7 more than one-half of p

0.5p+7      OR

p/2+7        OR

1/2P+7

200

John owns a fruit stand. 

• He sells oranges for $1.55 each and apples for $0.95 each

• He purchases oranges for $0.35 each and apples for $0.15 each

Write an expression that represents how much money john makes from selling x oranges and y apples

1.20x + 0.80y

300

Write an algebraic expression to model the following situation: 17 less than the quotient of k and 4

k/4 - 17

400

Write an algebraic expression to model the following situation: 6 less than the product of 8 and k

8k - 6

500

Write an algebraic expression to model the following situation: 3 times the difference of a number and 2

3(k-2)

Distribute & Factor

100

Simplify the following expression:

5(x−4)

5x - 20

200

Simplify the following expression:

3(2w−7)

6w+21

300

Factor completely.

6h - 20

2(3h-10)

400

Factor completely.

24ab+18a

6a(4b+3)

500

Simplify the following expression:

5(−3x−7y+4)

-15x-35y+20

Simplify

100

Simplify the following expression: v + v + 5 - 2 + 3v

5v + 3

200

Simplify the following expression: 4k + 3j + 6 + k + 8j

5k+11j+6

300

Simplify the following expression: 4(d-3f)+14f

4d+2f

400

Simplify the following expression: 3 + 8p + 3r - 4p + 6p + 1 - r

10p+2r+4

500

Simplify the following expression:

17 + 15x - 10 - 12x - 6(z + x)

-3x + 7 - 6z

Evaluate

100

Evaluate the following expression if x=2: 

3x - 16

3(2)-16

6-16

-10

200

Evaluate the following expression if z=5: 

4 - 6z

4 - (6 x 5)

4 - 30

-26

300

Evaluate the following expression if r=18: 

16 - (2/3)r - 4

16-(2/3)(18)-4

16-12-4

4-4

0

400

Evaluate the following expression if x=3: 

(15+x)/(3x-3)

(15 + 3) / (3 x 3 - 3)

18 / 6

3

500

Evaluate the following expression if y=7: 

The sum of (21/y) and (4y/2)

(21/7)+(4 x 7 / 2)

3+(28/2)

3+14

17