Solving Multi-Step Equations

Round/Fractions/Expressions

100

Round 47.38 to the nearest tenths.

47.4

200

2/5 * 15/4

3/2

300

3/4 + 5/6

19/12 or 1 7/12

400

9/10 / 3/5

3/2  or 1 1/2

500

Evaluate 2x^2 - 3x + 4 for x = -3

31

Equations/Inequalities

100

5x-3 = 2x + 9

x=4

200

4(x-2)=2x+6

x=7

300

Solve and write in interval notation.

-6x>12

x<-2

(-inf, -2)

400

-2(3x - 5) <= 10

x>=0

[0, inf)

500

Isolate y in 3x + 2y = 12

y = (-3/2)x + 6

Polynomials+, -, *, /, and Factoring

100

(5x² + 3x - 1) - (2x² - x + 4)

3x² + 4x - 5

200

Factor x^2 - 9

(x+3)(x-3)

300

Factor x^2 + 4x - 12

(x+6)(x-2)

400

(2x + 3)^2

4x² + 12x + 9

500

12x^2 + 2x - 4

2(2x-1)(3x+2)

Anything with Radicals

100

Simplify square root 50

5 square root 2

200

Simplify square root 18x^2

3x square root 2

300

Change to a radical (2x)^(2/3)

cube root 4x^2

(from cube root (2x)^2)

400

Find the missing side of the right triangle on the board.

3 square root 13

(from square root 117 = square root 9*13)

500

Simplify square root 72y^3

6y square root 2y

Miscellaneous

100

Convert 12 miles to kilometers

(1 mile = 1.61 km)

19.32 km

200

|-6| - 5 + 3

4

300

Find the slope of the two points (-3, 4) and (-6, 5)

-1/3

400

Graph 6x + 2y = 18

Possible points on the line: (0,9), (3,0), (1,6), (2,3)

500

There is a 4 piece weight set in Sarah’s math class where 2 of the pieces weigh 120 cg each and one piece each weighing 2 g, and 90 mg. What is the heaviest object that can be weighed using all parts of the set (in grams)?

(kg hg dag g dg cg mg)

4.49 g