Review for Algebra 1

Linear

100

Solve.

4 - x = 2x - 2

x = 2

200

Solve.

7x + 1 - 2x = 6

x = 1

300

Write the equation of the line with slope 3 and passing through the point (2, 3).

y = 3x - 3

400

Rewrite the equation. Solve for y.

3x + 2y = 4

y = -3/2x + 2

500

Multiply.

2(x + 5)

2x + 10

Systems

100

Solve for x and y.

3x + 2y = 29

-3x + y = -8

x = 5

y = 7

(5, 7)

200

Solve for x and y.

y = 2x - 3

y = -x + 3

x = 2

y = 1

(2, 1)

300

Solve for x and y.

y = -3x

4x + y = 2

x = 2

y = -6

(2, -6)

400

Solve for x and y.

x = -5y - 4

x - 4y = 23

x = 11

y = -3

(11, -3)

500

Solve for x and y.

6x - 2y = -16

4x + y = 1

x = -1

y = 5

(-1, 5)

Quadratics

100

Multiply.

(x + 3)(x - 5)

x² - 2x - 15

200

Factor.

2x² + 5x + 3

(2x + 3)(x + 1)

300

Solve the quadratic equation.

x² - 2x - 3 = 0

x = -1 or x = 3

400

Find the point symmetric to the y-intercept.

y = x² - 2x - 3

(2, -3)

500

Find the vertex.

y = x² - 2x - 3

(1, -4)

Exponents

100

Simplify.

y⁵ y²

y⁷

200

Simplify.

x⁵ / x²

x³

300

Simplify.

(x⁰ y²)³

y⁶

400

(2y⁴)³

8y¹²

500

x⁴ (x² y³)²

x⁸ y⁶