Summer Review

Linear Equations & Slope

100

Find the slope of 2y=-16x+2

m=-8

200

How can you find the slope using standard form?

Ax + By = C

m = -A/B

300

Write y-2=9(x-2) in standard form

y=9x-16

400

A line passes through the point (2, -2), and has a slope of 2

Find the x and y intercepts

x intercept = 3

y intercept = -6

500

A line passes through the points (7,2) and (2,12)

Find the equation of the line in all three forms!

y = -2x + 16

y-2 = -2(x-7)

2x+y=16

Multiply Polynomials & Solve Quadratic Equations

100

6v(2v + 3)

12v²+18v

200

(6p+8)(5p-8)

30p²-8p-64

300

(7k-3)(k²-2k+7)

7k³ - 17k² + 55k - 21

400

SOLVE by factoring

3x²-12=0

x=-2

x=2

500

SOLVE by factoring

3x²+4x-4=0

x=-2/3

x=2

Simplify

100

z^-2 / z^-5

z³

200

Simplify the expression by clearing the decimal

0.4x + 0.002y + 2z

400x + 2y + 2000z

300

Simplify by clearing the fraction

(1/8)x + (1/2)y - (1/4)z +1

x + 4y - 2z + 8

400

Multiply and write your answer in scientific notation

(3 × 10⁸) (6.8 × 10⁻¹³)

2.04 × 10⁻⁴

500

Divide and write your answer in scientific notation

(5 × 10⁻³) / (2.4×10⁻⁵)

2.083 × 10²

Factor

100

2x²-50

2(x-5)(x+5)

200

x²-2x+1

(x-1)(x-1)

300

2x²+5x+2

(2x+1)(x+2)

400

2x³ + 6x² + 3x + 9

(2x²+3)(x+3)

500

x³ - 2x² + 5x - 10

(x - 2)(x²+5)

Word Problems & Systems

100

Solve these systems of equations using elimination

2x - y = -4

x + 3y = 5

x=-1

y=2

200

Solve using the substitution method

x - 2y = 8

x + y = 5

x = 6

y = -1

300

A product is marked down 15%. The sale price is $127.46. What was the original price?

$149.95

400

You make small wreaths and large wreaths to sell at a craft fair. Small wreaths sell for $8 and large wreaths sell for $12. You think you can sell 40 total and you want to make $400. How many of each type should you bring to the fair?

l=20

s=20

500

Solution A is 50% acid. Solution B is 60% acid. How much of each solution is needed to make 100L solution that is 51% acid.

B=10

A= 90