Algebraic Thinking

Variables

100

3n + 15, n=4

27

200

h/12, h=60 

5

300

32x - 32, x=2

32

400

c/2, c=24

12

500

(n ÷ 2)5, n=14

35

Translating Words to Math

100

18 less than a number

x - 18

200

the quotient of a number and 21

x/21

300

8 times the sum of x and 15

8(x + 15)

400

7 less than the product of a number and 5 

5n - 7

500

The county fair charges an admission of $6 and then charges $2 for each ride.  Write an algebraic expression to represent the total cost after r rides at the fair.

6 + 2r

Simplifying Algebraic Expressions

100

Simplify.

x² + 3x² - 4²

4x² - 16

200

n⁴ + n³ + 3n - n - n³

n⁴ + 2n

300

4a + 4b + 2 - 2a +5b - 1

2a + 9b + 1

400

32m² + 14n² - 12m² + 5n - 3

20m² + 14n² + 5n - 3

500

2h² + 3g - 2h² + 2² - 3 + 4g

7g + 1

Solving Addition & Subtraction Equations

100

k - 9 = 4

k=?

k=13

200

y + 6 = 72

y=?

x=66

300

21 = n - 41

n=?

n=62

400

127 = w + 31

w=?

w=96

500

81 = x - 102

x=?

x=183

Solving Multiplication & Division Equations

100

12 = 4x

x=?

x=3

200

18z = 90

z=?

z=5

300

12 = x/4

x=?

x=48

400

840 = 12y

y=?

y=70

500

h/22 = 9

h=?

h=198