Mixed Algebra Part 1

Integer Arithmetic

100

4 * -2 = ?

4 * -2 = -8

200

7 * 6 * -0.5 = ?

7 * 6 * -0.5 = -21

300

-1 * -1 * -1 * -1 * -1 = (-1)⁵ = ?

-1 * -1 * -1 * -1 * -1 = (-1)⁵ = -1

400

-125 + (-25) + (-50) + 1

-125 + (-25) + (-50) + 1 = -199

500

-2 * (4 - (-26)) / -15 = ?

-2 * (4 - (-26)) / -15 = 4

Combining Like Terms

100

2a + 3a = ?

2a + 3a = 5a

200

a + b + c + c = ?

a + b + c + c = a + b + 2c

300

2x + 3x + 4z - 5z = ?

2x + 3x + 4z - 5z = 5x - z

400

3x - 5y + 5xy + 10y = ?

3x - 5y + 5xy + 10y = 3x + 5y + 5xy

500

x + 2x² + 3x³ - x² + x³ = ?

x + 2x² + 3x³ - x² + x³ = x + x² + 4x³

Distribution

100

3(x + 1) = ?

3(x + 1) = 3x + 3

200

-6(x + 1) = ?

-6(x + 1) = -6x - 6

300

5(2x + 5) = ?

5(2x + 5) = 10x + 25

400

(4x + 4)/2 = ?

(4x + 4)/2 = 2x + 2

500

13(2 - x) + 7(1 + x)  = ?

13(2 - x) + 7(1 + x)  = 33 + 6x

Solving Equations

100

Solve for x:

x - 10 = 3

x = 13

200

Solve for y:

13y = 52

y = 4

300

Solve for z:

10z - 5 = 95

z = 10

400

Solve for y when x = 6:

y = 9x - 15

y = 39

500

Solve for b when a = 40:

a = 6b - 2

b = 7

Exponents

100

3² = ?

3² = 9

200

5² = ?

5² = 25

300

2³ = ?

2³ = 8

400

(1/2)² = ?

(1/2)² = 1/4

500

What is the square root of 4/9?

2/3