Miner Math Jump Start Day 1

Linear Equations

100

Convert the equation y = 3x + 7 to standard form

3x - y = -7

200

Determine the x and y intercepts of the equation 3x + 4y = 12

x = 4

y = 3

300

Find the equation of a line in standard form that passes through the points (2,-3) and (4,-1)

y = x - 5

400

Find the equation of a line parallel to y = 1/2x + 3 passing through the point (2,-1)

y = 1/2x - 2

500

Determine the equation of a line perpendicular to y = -3x + 7 and passes through the point (0,-4)

y = 1/3x - 4

Linear Inequalities

100

Solve for x:

5x - 6 > 2x + 3

x > 3

200

Solve for y:

7y + 8 < 3y + 20

y < 3

300

Solve for w:

2w - 3 > 5w - 9

w < 2

400

Solve for t: 6t - 4 < 8t + 2

t > -3

500

Solve for v:

8 < -4v

v < -2

Systems of Linear Equations

100

y = 3x

y = -3x + 6

(1,3)

200

3x - y = 4

-4x + 2y = 2

(5,11)

300

2x + 4y = -12

3x + 5y = -16

(-2,-2)

400

3x - 2y = 1

9x - 6y = 3

infinite solutions

500

3x - 2y = 4

12x - 8y = 6

no solution

Exponents

100

(a + b)⁰ = ?

1

200

9 * 9² = ?

729

300

(4a²b)² (3a²b³)³ = ?

432a¹⁰b¹¹

400

(1 / k)^-2 = ?

k²

500

( (a+b) / (c+d) )² = ?

(a² + 2ab + b²) / (c² + 2cd + d²)

Radicals

100

sqrt(72) = ?

6 * sqrt(2)

200

sqrt(50) = ?

5 * sqrt(2)

300

(2 + sqrt(3))(2 - sqrt(3)) = ?

1

400

4sqrt(5) + 4sqrt(20) = ?

12 * sqrt(5)

500

sqrt( 3/5 ) = ?

sqrt(15) / 5