Solving Algebraic Equations

Translate verbal expressions

100

the sum of 2 and a number x

2 + x

200

7 more than a number

n + 7

300

the difference of a number and 6

n - 6

400

the quotient of a number and 5

n / 5

500

18 less than a number

n - 18

PEMDAS (Fix my Mistake)

100

9 - 3 x 2=12

Correct answer is 3. Do x then -, not - then x.

200

5 ² + 1=11

5 ² = 25, not 10. Correct Answer is 26.

300

3²  - 6 = 0

3 ²  = 9, not 6. Correct answer is 3

400

4 + 5 + 7 - 3 x 2 = 26

You need to follow PEMDAS and do x first. Correct answer is 10.

500

10 ³  = 30

10 ³  = 10 x 10 x10, which is 1000, not 30.

Distibutive Property

100

2(3x - 4)

What is 6x - 8

200

-3 (-11-x)

What is 33 +3x

300

x(x-4)

What is x^2 -4x

400

2x(3y + 6)

What is 6xy +12x

500

-xy(2x - y)

What is -2yx^2+ xy^2

Combining like terms

100

x + 3x

What is 4x

200

2 - x - 4x + 1

What is 3 - 5x

300

2(x +1) +3

What is 2x +5

400

xy + y + x + 3x + 4y

What is xy + 5y + 4x

500

x + x^2

What is x + x^2

Absolute Value

100

|-7|

What is 7

200

|0|

What is 0

300

|x| = 3

What is x = 3 or -3

400

|x| +1 =10

What is x = 9 or -9

500

|x-1| = 5

What is x = 6 or -4