Translating
Evaluating/substitution
Algebraic Properties
Combining like terms
Distributive Property
100

Twice a number increased by 7 is equal to 25. What is the number?

2x+7=25

100

Evaluate the expression 3x+2 when x=4

3(4)+2=12+2=14

100

Simplify using the distributive property:
4(2x+3)

8x+12

100

3x+5x

8x

100

3(x+4)

3x+12

200

The sum of three times a number and 4 is equal to the difference between 22 and the number.

3x+4=22−x

200

Find the value of 2a squared−b when a=3 and b=5

2(3)squared−5=2(9)−5=18−5=13

200

Show that the associative property holds:
(x+3)+5=x+(3+5)

(x+3)+5=x+(3+5)

200

2x+4+7x−3

9x+1

200

−2(y−5)

−2y+10

300

Five less than the square of a number is equal to 11.

x squared−5=11

300

Evaluate m+n/2 when m=10 and n=6

10+6/2=16/2=8

300

Show the property:
6⋅x=x⋅6

6x=x⋅6

300

6a−2a+3b−b

4a+2b

300

5(2a+3b)

10a+15b

400

A number divided by 3, decreased by 2, equals 6.

x/3 - 2 = 6

400

5xy-y squared when x=2 and y=3

5(2)(3)−(3)2=30−9=21

400

y+0=y 

True for all real numbers y

400

xsquared+3x−2xsquared+4x

−xsquared+7x

400

−4(3x−2y+1)

−12x+8y−4

500

The product of 4 and a number is 10 more than the number.

4x=x+10

500

Evaluate the expression x squared+ y squared- z when x=1 y=4 z=5

1 squared + 4 squared−5=1+16−5=12 

500

1/a⋅a=1(where a≠0)

True for all real numbers a≠0

500

10−3y+4y+2

y+12

500

(2x+5)(3)

6x+15

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