Solve for $x$ 🔍

$$6x + 9 = 75$$

Solve for $x$ 🔍

$$6x + 10 = -38$$

Larger root wins 🏆

$$x^2 - 7x + 6 = 0$$

Give the larger root.

Solve for $x$ 🔍

$$4x + 6 = 46$$

🔍 If $3x + 7 = 22$, what is $x$?

🇫🇷 Révision 2nde · Let $A=(x-3)(x+3)-2(x-3)$.

What is $A$ when $x=0$?

🔍 If $2(x - 3) = 14$, what is $x$?

Two-step 🪜

$$4x - 2 = 42$$

Find $x$.

✏️ 2 pencils and 3 books cost 21 dollars. One pencil costs 3 dollars.

How many dollars is one book?

Solve for $x$ 🔍

$$4x + 2 = -34$$

Pool party 🏊

One tap fills a pool in 10 hours; a second tap alone takes 15 hours.

How many hours do they need together?

Solve for $x$ 🔍

$$2x - 11 = 5$$

🔢 The sum of two consecutive numbers is 47.

What is the smaller one?

Neighbors 🔢

The sum of three consecutive whole numbers is 63.

What is the smallest of the three?

Solve it ✏️

$$x^2 + 2x + 1 = 0$$

How much x?

Two-step 🪜

$$3x - 4 = 29$$

Find $x$.

Solve for $x$ 🔍

$$2x - 4 = 16$$

Neighbors 🔢

The sum of three consecutive whole numbers is 123.

What is the smallest of the three?

👧 Sari is 3 years older than Dina. Together their ages sum to 27.

How old is Dina?

Neighbors 🔢

The sum of three consecutive whole numbers is 99.

What is the smallest of the three?

Pool party 🏊

One tap fills a pool in 4 hours; a second tap alone takes 12 hours.

How many hours do they need together?

Solve for $x$ 🔍

$$3x + 12 = -6$$

Neighbors 🔢

The sum of three consecutive whole numbers is 117.

What is the smallest of the three?

📒 A book and a pen cost 110 dollars together.

The book costs 100 dollars MORE than the pen.

How many dollars is the pen? (Careful… 🪤)

🔤 Combine like terms — simplify each (type like 5x):

Solve for $x$ 🔍

$$8x + 6 = 70$$

Solve for $x$ 🔍

$$8x - 2 = 86$$

🎯 A number is multiplied by 4, then 5 is subtracted, giving 27.

What is the number?

Larger root wins 🏆

$$x^2 + x - 30 = 0$$

Give the larger root.

Two-step 🪜

$$5x - 2 = 8$$

Find $x$.

Solve for $x$ 🔍

$$9x + 9 = 108$$

Solve for $x$ 🔍

$$9x + 6 = -30$$

Two-step 🪜

$$2x - 9 = -5$$

Find $x$.

🔣 Exponent laws — simplify each (type like x^5):

Neighbors 🔢

The sum of three consecutive whole numbers is 114.

What is the smallest of the three?

Solve for $x$ 🔍

$$7x - 10 = -59$$

Ages 👨‍👦

A father is twice as old as his son. Together their ages add up to 60.

How old is the son?

Solve for $x$ 🔍

$$4x + 1 = 5$$

Solve for $x$ 🔍

$$4x + 8 = -20$$

Solve for $x$ 🔍

$$4x + 2 = -26$$

📐 A rectangle has perimeter 40 cm. Its length is 4 cm more than its width.

How many cm is the length?

Larger root wins 🏆

$$x^2 - 4 = 0$$

Give the larger root.

Two-step 🪜

$$3x - 3 = 27$$

Find $x$.

Solve for $x$ 🔍

$$2x - 9 = 5$$

Solve for $x$ 🔍

$$7x - 3 = 4$$

Solve for $x$ 🔍

$$2x - 11 = -25$$

Solve for $x$ 🔍

$$2x + 8 = 4$$

Two-step 🪜

$$6x - 6 = 54$$

Find $x$.

Solve for $x$:
$$2^x = 32$$

🔤 Basic algebra — laws of exponents and like terms.

Simplify each, in order. Type answers like `3b` or `b^3`:

Two-step 🪜

$$6x - 5 = 19$$

Find $x$.

Ages 👨‍👦

A father is 4 times as old as his son. Together their ages add up to 70.

How old is the son?

Farmyard puzzle 🐔🐰

Chickens and rabbits share a yard: 11 heads and 34 feet in total.

How many rabbits are there?

Ages 👨‍👦

A father is twice as old as his son. Together their ages add up to 30.

How old is the son?

Neighbors 🔢

The sum of three consecutive whole numbers is 90.

What is the smallest of the three?

Larger root wins 🏆

$$x^2 + x - 20 = 0$$

Give the larger root.

Two-step 🪜

$$2x - 9 = 15$$

Find $x$.

Ages 👨‍👦

A father is 3 times as old as his son. Together their ages add up to 40.

How old is the son?

Solve for $x$ 🔍

$$2x - 3 = 13$$

Solve for $x$ 🔍

$$2x - 4 = 8$$

Larger root wins 🏆

$$x^2 - 5x + 6 = 0$$

Give the larger root.

🍀 Four of a kind:
$$4^x + 4^x + 4^x + 4^x = 4^{10}$$

What is $x$?

Two-step 🪜

$$2x - 9 = 9$$

Find $x$.

Two-step 🪜

$$6x - 8 = 34$$

Find $x$.

Farmyard puzzle 🐔🐰

Chickens and rabbits share a yard: 6 heads and 16 feet in total.

How many rabbits are there?

Ages 👨‍👦

A father is 4 times as old as his son. Together their ages add up to 95.

How old is the son?

Two-step 🪜

$$4x - 7 = 41$$

Find $x$.

Farmyard puzzle 🐔🐰

Chickens and rabbits share a yard: 15 heads and 36 feet in total.

How many rabbits are there?

Solve for $x$ 🔍

$$3x - 7 = -34$$

Solve for $x$ 🔍

$$5x + 12 = -18$$

Two-step 🪜

$$6x - 7 = 59$$

Find $x$.

Ages 👨‍👦

A father is 3 times as old as his son. Together their ages add up to 60.

How old is the son?

Larger root wins 🏆

$$x^2 + 4x - 5 = 0$$

Give the larger root.

Farmyard puzzle 🐔🐰

Chickens and rabbits share a yard: 13 heads and 42 feet in total.

How many rabbits are there?

Solve for $x$ 🔍

$$9x - 6 = -24$$

🇫🇷 Révision 2nde · Let $A=(2x-3)^2-(2x-3)(x-2)$.

What is $A$ when $x=-2$?

Larger root wins 🏆

$$x^2 - 4x + 3 = 0$$

Give the larger root.

Larger root wins 🏆

$$x^2 - 2x - 3 = 0$$

Give the larger root.

Pool party 🏊

One tap fills a pool in 3 hours; a second tap alone takes 6 hours.

How many hours do they need together?

Larger root wins 🏆

$$x^2 - x = 0$$

Give the larger root.