Nested Operations
Fractions
Variable FUN
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REGENTS BRAIN BURNER
100

Three more than twice the difference of a number and five

2(x − 5) + 3


100

One half of the sum of a number and eight

½(x + 8)

100

The product of a number and the sum of the number and three

x(x + 3)

100

Ten less than the product of four and a number

4x − 10

100

The sum of twice a number and three, divided by four

(2x + 3)/4


200

Four times the sum of a number and seven, decreased by two

4(x + 7) − 2

200

Three fourths of the difference of a number and six

¾(x − 6)

200

The square of the sum of a number and five

(x + 5)²

200

The product of four and a number, decreased by ten

4x − 10

200

Seven less than the quotient of three times a number and five

3x/5 − 7

300

Six less than three times the quantity of a number plus four

3(x + 4) − 6

300

One third of the sum of twice a number and five

(2x + 5)/3

300

Three times a number decreased by the square of the number

3x − x²

300

Ten less than four times the sum of a number and two

4(x + 2) − 10

300

Twice the difference of the square of a number and four

2(x² − 4)

400

The sum of twice a number and five, multiplied by three

3(2x + 5)

400

Five less than one half of three more than a number

½(x + 3) − 5

400

The difference of the square of a number and twice the number

x² − 2x

400

The difference between four times a number and the sum of the number and ten

4x − (x + 10)

400

Four more than one half the sum of twice a number and six

½(2x + 6) + 4

500

Five more than twice the square of a number

2x² + 5

500

Two more than one fourth of the square of a number

¼x² + 2

500

Four more than the product of a number and the square of the number

x³ + 4

500

Five more than three times the difference between a number and seven

3(x − 7) + 5

500

Three times the square of the sum of a number and two, decreased by five

3(x + 2)² − 5

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