Algebra

Basic Algebra

100

3x + 10 = 19

What is the value of x?

x = 3

200

4x - 15 = 5

What is the value of x?

x = 5

300

-2x + 13 = 17

What is the value of x?

x = -2

400

-3x + 10 = -41

What is the value of x?

x = 17

500

-3(x - 4) = 2x + 5(-10) - 8

What is the value of x?

x = 14

Algebraic Expressions

100

4, 7, 10, 13, 16, 19...

Find the algebraic expression.

3n + 1

200

2, 5, 10, 17, 26...

Find the algebraic expression

n² + 1

300

1/2, 2/3, 3/4, 4/5, 5/6...

Find the algebraic expression

n/n+1

400

-2, 4, -6, 8, -10

Find the algebraic expression

-1ⁿ(2n)

500

0, 4, 12, 24, 40...

Find the algebraic expression

2n² - 2n

Inequalities

100

x + 9 < 15

Solve the inequality

x < 6

200

-4x + 6 is greater than or equal to 22

Hint: Flip the sign when multiplying or dividing by a negative.

Solve the inequality

x is less than or equal to 4

300

7x - 3 > 3x + 13

Solve the inequality

x > 4

400

-2(x - 5) is less than or equal to 3x + 20

Solve the inequality

Hint: Flip the sign when multiplying or dividing by a negative.

x is greater than or equal to -2

500

-3(x - 4) > 2x + 5y - 8

Simplify/solve the inequality

Hint: Flip the sign when multiplying or dividing by a negative.

x < -y + 4

Non-linear expressions

100

x² + 10 = 35

Find one of the two values of x

x = 5 or -5

200

3x² + 5 = 80

Find one of the two values of x

x = 5 or -5

300

(x - 4)² = 49

Find the one of the two values of x

x = 11 or -3

400

2(x + 1)² = 18

Find one of the two values of x

x = 2, -4

500

x³/2 + 7 = 39

Find the value of x

x = 4

Word Problems

100

Alex has $15 and earns $8 for every lawn he mows. He needs $79 to buy a new game.

Write an equation and solve for x (the number of lawns) to find out how many he needs to mow.

8 lawns

200

Maya is 4 years older than twice her brother’s age. The sum of their ages is 22.

How old is Maya and how old is her brother?

Brother is 6, Maya is 16

300

A team lead buys 3 lattes and 4 muffins for a total of $31. If a latte costs $2 more than a muffin, what is the price of a single latte?

Muffin is $4, Latte is $6

400

A rectangular vegetable garden has a perimeter of 50 feet. The length is 5 feet less than three times the width.

Find the dimensions (length and width) of the garden.

Width is 7.5ft, length is 17.5ft

500

Gym A charges a $50 membership fee and $30 per month. Gym B charges a $110 membership fee and $20 per month.

After how many months will the total cost of Gym B be cheaper than Gym A?

(Goal: Write an inequality and solve for m)

Starts becoming cheaper at 7 months