Basics
Translating algebraic
Like terms
Distributive property
Word Problem
100

What is 3x+20=50 if x=10

(3 x 10)=30+20=50

100

Five increased by four times a number.

5=4n

100

3x+2x+4x

9x

100

5(x+6) =

5x + 30

100

Five times a number increased by seven is equal to forty-seven. What is the number?

5x+7=47

5x=40

X=8

200

5x+16-4x+28=? if x=12

(5 x 12)=60 (-4 x 12)= -48

16+(-48)+28=-4

200

Eight is less than twice a number.

2n-8

200

5c+3d−2c+4d

3c+7d

200

-10(2x + 1/5 )=

-20x - 2

200

Ninety-six golf balls were picked up at the driving range and placed into two buckets. One bucket has twenty-eight more balls than the other bucket. How many golf balls are in each bucket?

One bucket has 34 the other 62 golf balls


300

5x3+3y-13=? x=7 y=9

(5 x(7)=1715) + (3 x 9=27)= 1742-13= 1729

300

Twelve times, a number increased by 6.

12 (n + 6)


300

2m+3n+1+4m+5n+6.

6m+8n+7

300

-18(x - 2/3)=

-18x + 12

300

The sum of three consecutive integers is forty-two. Find the three numbers.

13,14,15

400

12x2 – 9x + 5x – 4x2 – 7x + 10.

(12 – 4)x2 – 9x + 5x – 7x + 10=8x2 – 11x + 10

400

A number is repeated as a factor 3 times.

K • K • K = K2

400

7x−4x+5y−2y.

3x+3y

400

Which of the following equations is NOT a way to solve 10×510×5 using the distributive property?

(2×5)×5=(2×5)+(2×5)

400

A basketball team played thirty-two games and won three times as many games as it lost. How many games did the team win?

The team won 24 games

500

(2x+y)2  x=4 y=6

(2 x 4=8+6=14)2=196

500

The quotient of fourteen and triple the number.

14 / (3p)

500

6p−4q+5−2p+2q+3

4p−2q+8

500

Which of the following equations is NOT a way to solve 9×89×8 using the distributive property?

(2+6)×8=(2×8)+(6×8)(2+6)×8=(2×8)+(6×8)

500

Two case workers share an office. The first caseworker has fifteen active cases. The second case worker has twice the number of active cases. How many active cases does the office have?

45 active cases

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